Upcoming Events (Archive)
 Friday, 12.07.2019, 11:15 (FU Berlin)
 Oberseminar Nonlinear Dynamics
Toshiyuki Ogawa, Meiji University, Tokyo, Japan:
Drift bifurcation of traveling waves in a reactiondiffusion system with 3 competing species
more ... Location
Freie Universität Berlin, Arnimallee 3, 14195 Berlin, Hinterhaus, Raum 130
Host
Freie Universität Berlin
WIAS Berlin
 Thursday, 11.07.2019, 15:00 (WIAS405406)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Dr. Georg Stadler, New York University, USA:
Sparse optimal control of PDEs with uncertain coefficients
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstract
I will discuss sparse solutions of optimal control problems governed by elliptic PDEs with uncertain coefficients. Sparsity of controls is achieved by incorporating the L^1norm of the mean of the pointwise squared controls in the objective. The main focus is on stochastic controls that share the same sparsity structure, i.e., controls that depend on the realization of the random parameters but have identical support. We propose an iterative norm reweighting formulation, which iterates over functions defined over the physical space only and thus avoids approximation of the random space. Combining a Newton method with lowrank operator approximations, this results in an efficient solution method that avoids approximation of the uncertain parameter random space. The qualitative structure of the optimal controls and the performance of the solution algorithm are studied numerically using control problems governed by the Laplace and Helmholtz equations. This is joint work with Chen Li (NYU).
Host
WIAS Berlin
 Thursday, 11.07.2019, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Arijit Hazra, Tata Institute of Fundamental Research, Indien:
Globally constraintpreserving FR/DG scheme for Maxwell's equations up to fifth order of accuracy
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Computational electrodynamics (CED), the numerical solution of Maxwell?s equations, plays an incredibly important role in several problems in science and engineering. High accuracy solutions are desired, and the discontinuous Galerkin (DG)based methods is one of the most sophisticated ways of delivering high accuracy in numerical CED. Maxwell?s equations also have a pair of involution constraints and mimetic schemes that globally satisfy the constraints at a discrete level are also highly desirable. Keeping the above desirable properties in mind, in this work, we propose a globally divergenceconforming DGlike scheme for CED upto fifth orders of accuracy. We achieve global constraintpreservation of involution constraints of CED by collocating the electric displacement, magnetic induction and their higher order modes in the faces of the mesh. In our numerical scheme, one has to evolve some zonecentered modes in addition to the facecentered modes at fourth and higher orders of accuracy. The novel features of our schemes are: retention of higher order accuracy without any limiter even when permittivity and permeability vary by almost an order of magnitude, superior control of numerical diffusion and preservation of electromagnetic energy with strongly varying material properties in absence of conductivity. Please do not hesitate to contact me if you have any further queries. I would like to thank you for you understanding and cooperation.
Host
WIAS Berlin
 Wednesday, 10.07.2019, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Artur Stephan, WIAS Berlin  BMS:
On EDPconvergence for linear reactiondiffusion systems with different time scales
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare partielle Differentialgleichungen" (LangenbachSeminar)
Host
WIAS Berlin
Berlin Mathematical School
 Wednesday, 10.07.2019, 13:00 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Dr. Georg Stadler, New York University, USA:
Estimation of extreme event probabilities by combining large deviation theory and PDEconstrained optimization, with application to tsunami waves
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Tsunami waves are caused by a sudden change of ocean depth (bathymetry) after an earthquake below the ocean floor. Since large tsunami waves are extreme events, they correspond to the tail part of a probability distribution, whose exploration would require impractically many samples of a Monte Carlo method. We propose an alternative method to estimate extreme probabilities using large deviation theory (LDT), which relates the probabilities of extreme events to the solutions of a oneparameter family of optimization problems. We model tsunami waves with the shallow water equations and thus these equations appear as PDEconstraints in this optimization problem. The optimization objective includes a term that measures how extreme the event is, and a term corresponding to the likelihood of certain bathymetry changes, which are modeled as a Gaussian random field. Preliminary numerical results with the 1D inviscid shallow water equation are presented. This is joint work with Shanyin Tong and Eric VandenEijnden (both NYU).
Host
WIAS Berlin
 Wednesday, 10.07.2019, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Arnak Dalalyan, ENSAE ParisTech:
Robust estimation in structured linear models by convex programming
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 09.07.2019, 13:30 (WIAS406)
 Seminar Materialmodellierung
Prof. Carsten Gräser, Freie Universität Berlin, Institut für Mathematik:
Truncated nonsmooth Newton multigrid for nonsmooth minimization problems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Many problems originating from continuum mechanics and material sciencelead to large scale nonsmooth optimization problems after discretization in time and space. Examples are classical binary or multicomponent phase field models for phase transition and separation, frictional contact problems, plasticity, and phase fieldlike approaches for brittle and ductile fracture. Since standard numerical methods like, e.g., multigrid are not directly applicable due to the nonsmoothness, generic nonsmooth optimization methods are frequently used for such problems which often comes at the price of reduced efficiency. In the talk we present the Truncated Nonsmooth Newton Multigrid (TNNMG) method which combines techniques from nonsmooth optimization with multigrid and domain decomposition ideas. Instead of a black box approach this is done in a structure aware fashion leading to iterative methods whose efficiency is comparable to state of the art methods for smooth problems while being robust with respect nonsmoothness. In the talk we will introduce the algorithm, discuss convergence, and present numerical examples for various applications illustrating the efficiency of the presented approach.
Host
WIAS Berlin
 Wednesday, 03.07.2019, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. PierreÉtienne Druet, WIAS Berlin:
Weak solution analysis for incompressible multicomponent flow models
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare partielle Differentialgleichungen" (LangenbachSeminar)
Host
WIAS Berlin
 Wednesday, 03.07.2019, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Dr. Claudia Strauch, Universität Mannheim:
Concentration and nonparametric learning of diffusion processes
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We start by discussing uniform concentration inequalities for continuoustime analogues of empirical processes and related stochastic integrals of ergodic diffusion processes. Our approach substantially relies on combining the device of martingale approximation and moment bounds which are obtained by the generic chaining method. As a concrete statistical application, we consider the question of estimating the drift function for a large class of ergodic diffusion processes. The unknown drift is supposed to belong to a nonparametric class of smooth functions of unknown order. We suggest a fully datadriven procedure which allows for rateoptimal drift estimation (with respect to supnorm risk) and, at the same time, yields an asymptotically effiient estimator of the invariant density of the diffusion. In the last part of the talk, we sketch applications of our results to problems from stochastic control theory. One of the fundamental assumptions in stochastic control of continuous time processes is that the dynamics of the underlying (diffusion) process is known. This is, however, usually not fulfilled in practice. We study a toy model for harvesting and natural resource management, mathematically described as an impulse control problem. In variants of this model, we suggest ways to both learn the dynamics of the underlying process and control well at the same time. In particular, the combination of results from stochastic control and our previous analysis of the supnorm risk allows to derive mathematical results for reinforcement learning.
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 02.07.2019, 13:30 (WIASESH)
 Seminar Numerische Mathematik
Dr. Ankik Kumar Giri, Indian Institute of Technology Roorkee:
Recent developments in the theory of coagulationfragmentation models
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The coagulationfragmentation equations describe the kinetics of particle growth in which particles can coagulate via binary interaction to form larger particles or fragment to form smaller ones. These models arise in many fields of science and engineering: kinetic of phase transformations in binary alloys such as segregation of binary alloys, aggregation of red blood cells in biology, fluidized bed granulation processes, raindrop breakup in clouds, aerosol physics, i.e. the evolution of a system of solid or liquid particles suspended in a gas, formation of planets in astrophysics, polymer science and many more.
The coagulation is in general a nonlinear process where the fragmentation is classified into two major categories, one of them is the linear fragmentation and another one is the nonlinear fragmentation. The linear fragmentation may occur due to the external forces or spontaneously (that depends on the nature of particles). However, the nonlinear fragmentation takes place due to the collision between a pair of particles. Therefore, it is also known as collisioninduced fragmentation or collisional breakage.
In general, the nonconservative approximation of coagulation and linear fragmentation equations may lead to the occurrence of gelation phenomenon i.e. the breakdown of mass conservation property of the solution. In the first half of this talk, it is shown that the nonconservative approximation of coagulation and linear fragmentation equations can also provide the existence of mass conserving solutions for large classes of unbounded coagulation and fragmentation kernels.The fragmentation kernel may have a singularity near the origin. Later on, this result is further generalized by including the singular coagulation kernels in the existence theory of massconserving solution to the nonlinear coagulation equation using nonconservative approximations.
In the second half, we introduce an existence result on weak solutions to the continuous coagulation equation with collisioninduced fragmentation for certain classes of unbounded collision and breakup distribution kernels. The breakup kernel may have a possibility to attain a singularity at the origin. The proof is based on the weak compactness methods applied to suitably chosen conservative approximating equations. The question of uniqueness is also considered under additional growth conditions on the kernels which mainly relies on the integrability of higher moments. Moreover, It is observed that the unique solution is massconserving.
Host
WIAS Berlin
 Thursday, 27.06.2019, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Dr. Markus Kantner, WIAS Berlin:
Nonisothermal generalization of the ScharfetterGummel scheme for degenerate semiconductors
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Wednesday, 26.06.2019, 10:00 (WIAS405406)
 Forschungsseminar Mathematische Statistik
Dr. Alexandra Suvorikova, Universität Potsdam:
On CLT in BuresWasserstein space and beyond
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstract
In the first part of the talk we present some concentration and convergence properties of BuresWasserstein (BW) barycenters of hermitian finitedimensional matrices, and explain how they can be used for investigation of geometry of DNA molecules modelled as a union of ridgid bodies. In the second part we show how the framework of classical resampling techniques can be extended to the case of the BW space, and introduce some geometrical intuition behind the construction of nonasymptotic confidence sets for BW barycenters.
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 25.06.2019, 15:15 (WIASHVP3.13)
 Oberseminar Nonlinear Dynamics
Stefan Ruschel, TU Berlin:
Pulsing dynamics of a laser system with delayed feedback
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 3. Etage, Raum: 3.13
Abstract
We consider the Yamada model for an excitable or selfpulsating laser with saturable absorber in the presence of delayed optical selffeedback. We present some recent results regarding the stability and bifurcations of periodic light pulses that are sustained in the external cavity feedback loop, so called external cavity pulse trains.
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 25.06.2019, 15:00 (WIAS405406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Fabian Telschow, University of California San Diego, USA:
Spatial confidence sets for raw effect size images
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Host
WIAS Berlin
 Tuesday, 25.06.2019, 13:30 (WIAS406)
 Seminar Materialmodellierung
Prof. Luca Heltai:
Unconventional frameworks for the simulation of coupled bulkinterface problems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Partial differential equations with interfaces, holes, cracks, or defects often require the numerical solution of coupled bulkinterface problems. In this talk, I will discuss and analyse some techniques that can be used to tackle this class of problems, using nonmatching discretisations that combine finite element methods, regularization techniques, weighted Sobolev spaces, and reduce order models.
Host
WIAS Berlin
 Monday, 24.06.2019, 15:15 (WIASHVP3.13)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Jens Gravesen, Technical University of Denmark, Dänemark:
Differential geometry and dimension reduction for nano structures
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 3. Etage, Raum: 3.13
Abstract
Many nano structures are essentially one or two dimensional and it is in this case often possible to reduce the equations from three to one or two dimensions. That gives huge computational savings but can also provide insight into how the geometry of structures influences the physical properties. In the case of the Schrödinger equation for a single particle this influence is expressed in the form of a simple curvature potential. For coupled equations such as the LuttingerKohn Hamiltonian the procedure is no longer straight forward. The boundary conditions pose some problems and an extra approximation is necessary. We will give an overview of the method and point to some of the possible pitfalls when a choice of frame is needed.
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 June 24 – 26, 2019 (WIASESH)
 Workshop/Konferenz: Workshop on Phase Transitions and Particle Systems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Wednesday, 19.06.2019, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Janusz Ginster, Technische Universität Berlin:
Plasticity as the Γlimit of models for straight, parallel dislocations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Crystal plasticity is the effect of a crystal undergoing a permanent change of shape in response to applied forces. At the atomic scale, dislocations  local defects of the crystalline lattice concentrated on lines  are considered to play a main role in this effect. In this talk, we will derive a macroscopic straingradient plasticity theory from two different semidiscrete models for straight, parallel edge dislocations. Firstly, we complement the existing literature by considering a rotationally invariant energy with mixed growth. The main advantage of this formulation is that it does not need the adhoc definition of a coreradius. In addition to the Γconvergence result we present a rigidity result for fields with nonvanishing curl in this setting. Secondly, we will address the fact that most results in the literature are derived under the assumption that the present dislocations are separated on a mesoscopic scale. We will show how to overcome this assumption by an adaption of the ball construction technique which was developed in the context of the GinzburgLandau model for superconductivity.
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 19.06.2019, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Dr. Harel Hron, Palacký University, Olomouc, Czech Republic:
Weighting of densities in Bayes spaces with application to simplicial functional principal component analysis
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Probability density functions (PDFs) can be understood as functional data carrying relative information. As such, standard methods of functional data analysis (FDA) are not appropriate for their statistical processing. They are typically designed in the L2 space (with Lebesgue reference measure), thus cannot be directly applied to densities, as the metrics of L2 does not honor their geometric properties. This has recently motivated the construction of the socalled Bayes Hilbert spaces, which result from the generalization of the Aitchison geometry for compositional data to the innite dimensional setting. More precisely, if we focus on PDFs restricted to a bounded support (that is mostly used in practical applications), they can be represented with respect to the Lebesgue reference measure using the Bayes space of positive real functions with squareintegrable logarithm. The reference measure can be easily changed through the wellknown chain rule and interpreted as a weighting technique in Bayes spaces. Moreover, it impacts on the geometry of the Bayes spaces and results in socalled weighted Bayes spaces. The aim of this contribution is to show the eects of changing the reference measure from the Lebesgue measure to a general probability measure focusing on its practical implications for the Simplicial Functional Principal Component Analysis (SFPCA). A centered logratio transformation is proposed to map a weighted Bayes spaces into an unweighted L2 space (i.e. with Lebesgue reference measure), thus it enables to apply standard statistical methods such as SFPCA on PDFs.
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 18.06.2019, 15:00 (WIAS405406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Priv.Doz. Dr. Peter Mathé, WIAS Berlin:
The modulus of continuity in Bayesian inverse problems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstract
We shall discuss how the convergence rates of direct and inverse problems are related through the modulus of continuity.
Further Informations
Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Host
WIAS Berlin
 Tuesday, 18.06.2019, 13:30 (WIAS406)
 Seminar Materialmodellierung
Prof. Amit Acharya, Carnegie Mellon University, USA:
Line defect dynamics and solid mechanics
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Continuum mechanics has been a successful model for studying macroscopic deformations and the forces causing them. The usual framework allows the study of continuous deformations giving way to surfaces of discontinuity, but does not provide an adequate framework for considering the dynamics of the terminating lines of surfaces of discontinuity, were such to occur. It turns out that such terminating lines of surfaces of discontinuity serve as a model of common line defects that arise in a host of materials; dislocations and grain/phase boundary junctions in crystalline and soft matter. I will describe a framework for considering line defect dynamics within continuum mechanics. I will show how the kinematics of line defect dynamics provides a unifying theme for describing the defects mentioned above, resulting in an augmentation of the classical balance laws of continuum mechanics with a microscopic conservation law for topological charge carried by these defect lines. The theory will be illustrated with examples related to dislocation dynamics with inertia, the computation of fields of interfacial defects like the star disclination and grain boundary disconnections.
Further Informations
Seminar Materialmodellierung
Host
WIAS Berlin
 Wednesday, 12.06.2019, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Francesco Della Porta, MaxPlanckInstitut für Mathematik Leipzig:
The nonlocal CahnHilliardHeleShaw system with regular and singular potential
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The CahnHilliardHeleShaw system (also called the CahnHilliardDarcy system) can be used to describe the evolution of binary immiscible fluids in a HeleShaw cell or in porous media, and has been recently used as a buildingblock for some tumorgrowth models. In my talk, I will introduce a physically motivated nonlocal variant of the CahnHilliardHeleShaw system, and present some related analytical results. These include the wellposedness of the system, the existence of a global attractor, and the convergence of solutions to equilibria as time goes to infinity (in the twodimensional case). We discuss both the case with regular and singular potential.
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 12.06.2019, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Samuel Müller, University of Sydney, Australia:
c2pLasso: The categoricalcontinuous pliable Lasso to identify brain regions affecting motor impairment in Huntington disease
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In many clinical studies, prediction models are essential for forecasting and monitoring the progression of a disease. Developing prediction models is a challenge when dealing with highdimensional data since we do not know which variables are related to the response variable of interest and this relationship may depend on other continuous or categorical modifying variables as well. We formalize this problem as the varyingcoefficient model selection and propose a novel variable selection method, c2pLasso, that accounts for both continuous and categorical modifying variables.
Our contributions are threefold:
1. The c2pLasso method is shown to better screen irrelevant variables over the existing method that ignores the group structure of categorical modifying variables and to lead to a prediction model with higher accuracy and easier interpretation.
2. Our method adequately considers the prespecified group structure among modifying variables in addition to unstructured modifying variables.
3. The c2pLasso is empirically shown to perform better than existing methods such as the Lasso and pLasso even when there is no categorical modifying variable or any prespecified group structure among modifying variables. Using simulation studies, we show our method selects less irrelevant variables compared to existing methods while choosing relevant variables correctly. This provides us with a prediction model with higher specificity, lower false discovery rate and lower mean squared error. The proposed methodology is motivated by and illustrated using data from a Huntington disease study; the result identifies brain regions associated with motor impairment accounting for differentiated relationship by disease severity. To the best of our knowledge, our study is the first to identify the interaction effect between disease severity and the volume of brain regions in a varyingcoefficient model framework.
This is joint work with Rakheon Kim and Tanya Garcia, both at Texas A&M, Department of Statistics.
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 June 11, 2019 (WIASESH)
 Workshop/Konferenz: Colloquium in Honor of the 80th Birthday of Klaus Schneider
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Tuesday, 11.06.2019, 15:00 (WIAS405406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Nikolas Tapia, WIAS Berlin:
Signatures in shape analysis
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Further Informations
Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Host
WIAS Berlin
 Wednesday, 05.06.2019, 15:00 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Patrick Tolksdorf, Université ParisEst  Créteil ValdeMarne, Frankreich:
On the L^{p}theory for secondorder elliptic operators in divergenceform with complex coefficients (Part 2)
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Given a complex, elliptic coefficient function we investigate for which values of p the corresponding secondorder divergence form operator, complemented with Dirichlet, Neumann or mixed boundary conditions, generates a strongly continuous semigroup on L^{p}(Ω). Additional properties like analyticity of the semigroup, H^{∞}calculus and maximal regularity are also discussed. Finally we prove a perturbation result for real coefficients that gives the whole range of p's for small imaginary parts of the coefficients. Our results are based on the recent notion of pellipticity, reverse Hölder inequalities and Gaussian estimates for the real coefficients.
Further Informations
Berliner Oberseminar “Nichtlineare partielle Differentialgleichungen" (LangenbachSeminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 05.06.2019, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Yegor Klochkov, HumboldtUniversität zu Berlin:
Influencer dynamics in opinion networks
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 04.06.2019, 13:30 (WIAS406)
 Seminar Materialmodellierung
Dr. Giselle Antunes Monteiro, Tschechische Akademie der Wissenschaften, Prag, Tschechische Republik:
On the convergence of viscous approximation for rateindependent processes with regulated inputs
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
The vanishing viscosity method is a popular tool for describing rateindependent evolution. It consists in the analysis of the limiting behavior of a regularized problem obtained by introducing a viscous dissipation mechanism which stabilizes the process. In this talk, we discuss some issues related to viscous approximations to rateindependent processes when different choices of the viscosity operator are considered. We show that the viscous limit exists, and the associated inputoutput operator is continuous in the space of regulated functions. Notably, we observe that the vanishing viscosity limit may exhibit some unexpected behavior when the input has some jump discontinuities.
Host
WIAS Berlin
 Monday, 03.06.2019, 11:30 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Dr. Guozhi Dong, HumboldtUniversität zu Berlin:
Quantitative magnetic resonance imaging: From fingerprinting to integrated physicsbased models
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this talk, we introduce a novel method for quantitative MRI. The proposed approach simultaneously recovers the tissue parameters as the recently developed method magnetic resonance fingerprinting (MRF). However, in comparison with MRF and many of its variants, our new model is dictionary free. Thus, its accuracy is independent of the discretization size of the dictionary. The efficiency of our new method is proved theoretically and also verified by numerical examples.
Further Informations
Joint Research Seminar on Mathematical Optimization / Nonsmooth Variational Problems and Operator Equations
Host
WIAS Berlin
 Monday, 03.06.2019, 11:00 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Selma Metzner, PTB / TU Berlin:
Approximate largescale Bayesian inference with application to magnetic resonance fingerprinting
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
A class of nonlinear, largescale regression problems is considered where the parameters model the spatial distribution of some property. Specific assumptions about the regression function are made and a homoscedastic Gaussian sampling distribution is assumed. The class of problems includes the task of Magnetic Resonance Fingerprinting (MRF), a new approach for quantitative Magnetic Resonance Imaging that allows for the estimation of absolute values of tissue related parameters like proton density and spin relaxation times. The properties of a Bayesian inference for the considered class of regression problems is investigated when different types of priors are employed, including Gaussian Markov random field priors expressing spatial smoothness. The properties of the resulting posteriors are explored and conditions for propriety of the posterior and existence of its moments established. An approximate calculation scheme is proposed and its practicability demonstrated up to dimensions of 105. Finally, the approach is applied to MRF. In using simulated data with known ground truth, it is shown that by using the prior knowledge of smoothness in the spatial distribution of the sought parameters, the results are significantly better than those achieved through maximum likelihood estimation.
Host
WIAS Berlin
 Wednesday, 29.05.2019, 15:00 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Patrick Tolksdorf, Université ParisEst  Créteil ValdeMarne, Frankreich:
On the L^{p}theory for secondorder elliptic operators in divergenceform with complex coefficients (Part 1)
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Given a complex, elliptic coefficient function we investigate for which values of p the corresponding secondorder divergence form operator, complemented with Dirichlet, Neumann or mixed boundary conditions, generates a strongly continuous semigroup on L^{p}(Ω). Additional properties like analyticity of the semigroup, H^{∞}calculus and maximal regularity are also discussed. Finally we prove a perturbation result for real coefficients that gives the whole range of p's for small imaginary parts of the coefficients. Our results are based on the recent notion of pellipticity, reverse Hölder inequalities and Gaussian estimates for the real coefficients.
Further Informations
Berliner Oberseminar “Nichtlineare partielle Differentialgleichungen" (LangenbachSeminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 29.05.2019, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Denis Belomestny, Universität DuisburgEssen:
Density deconvolution under general assuptions on measurement error distribution
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The subject of my talk is the density deconvolution problem under general assumptions on the measurement error distribution. Typically deconvolution estimators are constructed using Fourier transform techniques, and the main assumption is that the measurement error characteristic function does not vanish on the real line. This assumption is rather strong and does not hold in many cases of interest. Here we develop a new technique to deal with this problem which allows us to recover the standard convergence rates without additional assumptions on the measurement error distribution. Joint work with A. Goldenshluger (University of Haifa).
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 28.05.2019, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
Sebastian Eydam, WIAS Berlin:
Modelocked solutions and coherence echoes in systems of globallycoupled phase oscillators
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In systems of Kuramoto type globallycoupled phase oscillators with equidistant natural frequencies, one can observe an interesting collective phenomenon below the synchronization threshold. The collective behavior is characterized by sharp pulses in the meanfield amplitude and therefore appropriately called mode locked. We discuss the emergence of this particular type of solution as well as the typical bifurcation scenarios that are found along their stability boundaries. In large ensembles, where the natural frequencies follow from a multimodal distribution, modelocked solutions are observed and the breakdown of the pulsation due to the broadening of the frequency width is explored. Echo phenomena have a long history and are found in various systems with one of the most prominent examples being the appearance of spinechoes. We consider an echotype response phenomenon that occurs after multiple external stimuli in ensembles of phase oscillators below the synchronization threshold. An intuitive explanation of the coherence echo phenomenon in the language of mode locking is given and it is shown that the nonlinear global interaction that supports modelocked solutions can also enhance the echo response significantly.
Host
WIAS Berlin
Freie Universität Berlin
 Tuesday, 28.05.2019, 15:00 (WIAS405406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Paul Hager, TU Berlin:
The multiplicative chaos of fractional Brownian motions with vanishing Hurst parameters
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstract
Empirical estimates attest the stochastic volatility process a small path regularity, which in the context of the rough volatility models are estimates of a small Hurst parameter of the underlying fractional Brownian motion. Ever smaller estimates have motivated Neuman and Rosenbaum to investigate the limit of fractional Brownian motions with vanishing Hurst parameters. Due to the vanishing Hölder regularity, the convergence can only be meaningful in the sense of generalised functions. The authors presented a normalised sequence of fractional Brownian motions and showed the convergence towards a logcorrelated field, i.e. a generalised Gaussian field with a logarithmic singularity on the diagonal of the covariance kernel. Placed in the abstract ambient of the less known fractional Gaussian fields, we find the essential property of the normalisation that makes this convergence possible and we pose a general class of normalisations, which apply to fractional Brownian fields as well. The more interesting object from the finance perspective is the volatility process, i.e the exponential of the fractional Brownian motion. The limit process is not pointwise defined, yet we can make sense of the integrated volatility process as a random measure. The theory of Gaussian multiplicative chaos deals exactly with the latter problem: Defining the exponential of singular Gaussian fields. The usual construction of these measures uses a regularisation of the field, therefore most results are not directly applicable in our situation. This problem was treated by Neuman and Rosenbaum, however their proofs were incomplete. We are able to state an elementary proof for the convergence of the volatility measures in the so call L2phase.
Host
WIAS Berlin
 Tuesday, 28.05.2019, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Dr. Björn Sprungk, GeorgAugustUniversität Göttingen:
Noiselevel robust sampling methods for Bayesian inverse problems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Thursday, 23.05.2019, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Dr. Maria Chernysheva, Leibniz Institute of Photonic Technology, Jena:
Highlights of pulse generation and dynamics in modelocked allfibre and SOAbased fibre lasers
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 May 23 – 25, 2019 (WIASESH)
 Workshop/Konferenz: 11th Annual ERC BerlinOxford Young Researchers Meeting on Applied Stochastic Analysis
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
Technische Universität Berlin
University of Oxford
 Wednesday, 22.05.2019, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Pierluigi Colli, Università di Pavia, Italien:
Wellposedness, regularity and asymptotic analyses for a fractional phase field system
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 22.05.2019, 11:15 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Gilian Heller, Macquarie University, Sydney:
Part II: Ordinal regression models for continuous scales
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Visual Analogue Scales (VAS) are used for measuring quantities which are intangible and difficult to measure on conventional scales, such as pain, anxiety and quality of life. These are generally used for selfrating. Subjects are given a linear scale of 100 mm and asked to put a mark where they perceive themselves. The scale has verbal anchor descriptors at each extreme, such as (in the pain context) ?no pain? and ?worst pain imaginable?. The VAS reading is taken as the measurement from the left endpoint to the subject's mark, and is usually normalized to lie in the interval [0,1]. Statistical analysis of the VAS is controversial. While it is a bounded, continuous variable, several authors have argued that it is ordinal, rather than ratio in nature, and should be treated as such. The issue is that, for example, a 1cm difference in VAS scores at the lower end of the scale does not necessarily represent the same difference in the intangible outcome as a 1cm difference at the upper end; and a doubling of VAS score may not translate to a doubling of e.g. the pain or anxiety. This problem is overcome by treating VAS measurements as ordinal rather than ratio data. We therefore refer to scales of this type as continuous ordinal. We have developed a regression framework for continuous ordinal responses. We express the likelihood in terms of a function connecting the scale with an underlying continuous latent variable and approximate this function nonparametrically. Then a general semiparametric regression framework for continuous scales is developed. The model is shown to be a conditional transformation model, and is generalizable to a much wider range of uses than the context in which it was developed. We illustrate our method on a quality of life data set.
Host
Universität Potsdam
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 22.05.2019, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Gilian Heller, Macquarie University, Sydney:
Part I: Parameter orthogonality and the GAMLSS family of distributions
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Parameter orthogonality is a desirable property of statistical distributions having more than one parameter. When parameters are orthogonal then their maximum likelihood estimates are asymptotically independent. Within the exponential family, the mean and dispersion parameter are orthogonal; however in general this is not the case. This work is motivated by a trial in Parkinson's disease patients in which one of the outcomes is the number of falls. Inspection of the data reveals that the Poissoninverse Gaussian (PiG) distribution is appropriate, and that the experimental treatment reduces not only the mean, but also the variability, substantially. Conventional analysis assumes a treatment effect on the mean, either adjusted or unadjusted for covariates, and a constant dispersion parameter. We find that we reach quite different conclusions on the treatment effect on the mean, depending on whether or not a model is specified for the dispersion parameter.
Host
Universität Potsdam
HumboldtUniversität zu Berlin
WIAS Berlin
 Tuesday, 21.05.2019, 15:00 (WIASESH)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Fabian Telschow, University of California San Diego, USA:
Estimation of expected Euler characteristics of nonstationary Gaussian random fields
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Host
WIAS Berlin
 Tuesday, 21.05.2019, 10:15 (WIASESH)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Dr. Olaf Klein, WIAS Berlin:
On uncertainty quantification for models involving hysteresis effects
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
To describe hysteresis effects like magnetization or elastoplastic behavior models involving hysteresis operators are used. The parameter within these operators are subject to uncertainties, since they have to be identified from measurements. To quantify the influence of these uncertainties, the parameter in the hysteresis operator are considered as functions of random variables. This allows to apply the methods of emphUncertainty Quantification (UQ) to the considered models. Performing UQ for models involving hysteresis effects, we get new random variables describing the uncertain outputs of the and we can compute stochastic properties of the output of the model. As example, forward UQ for a play operator with uncertain yield limits is shown. Moreover, starting from measured data for an Terfenol actuator, the identification of the parameters and their uncertainty within the hysteresis operator in the corresponding model is discussed.
Host
WIAS Berlin
 Friday, 17.05.2019, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Prof. Peter Berg, University of Alberta , Kanada:
Energy conversion in electrokinetic flow through charged and viscoelastic nanochannels
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The flow of ions and water through viscoelastic, nanoscopic domains forms the basis for many processes in biological materials. Surprisingly, such systems have rarely been explored for nanofluidic transport in artificial channels of technological applications such as energy harvesting, water desalination or DNA purification.
This talk explores the nonlinear coupling between wall deformation and quasi 1D electrokinetic transport in a nanochannel with charged walls. Within the framework of nonequilibrium thermodynamics, formulae are derived for the electrokinetic transport parameters in terms of Onsager phenomenological coefficients and, subsequently, for energy conversion efficiencies. Results confirm that Onsager's reciprocity principle holds for rigid channels but breaks down in the 1D formulation when the channel is deformed due to the introduction of a ”fictitious” diffusion term of counterions. Furthermore, the model predicts a reduced efficiency of electrokinetic energy harvesting for channels with soft, deformable walls.
This research is conducted in collaboration with Michael Eikerling and Mpumelelo Matse.
Host
WIAS Berlin
 Thursday, 16.05.2019, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Prof. Robert Eisenberg, Rush University Chicago, USA:
Voltage sensors of biological channels are nanomachines that perfectly conserve current, as Maxwell defined it
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Biological channels produce the signals of the nervous system, and coordinate the contraction of muscle, including the heart, by responding to voltage. Biological channels are proteins with a specific piece of machinery that responds to voltage, called the voltage sensor. The voltage sensor moves charges through an electric field creating a polarization (i.e., dielectric) current that can be measured in the far field some 1e23 atoms away from the channel because Maxwell's equations enforce the perfect conservation of current, as Maxwell defined it. Maxwell's current includes the polarization of the vacuum, independent of the properties of matter (including proteins!) no matter how complex. We have built a precise electromechanical model of the voltage sensor based on its atomic scale structure that fits a wide range of experimental data.
Host
WIAS Berlin
 Wednesday, 15.05.2019, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Dr. Robert Eisenberg, Rush University Chicago:
Ionic selectivity in channels: complex biology created by the balance of simple physical forces
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 15.05.2019, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Frank Konietschke, Charité Berlin:
Small data: A big data problem
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Small sample sizes occur frequently and especially in preclinical research. Most statistical methods are only valid if sample sizes are large and thus, investigating the methods' behavior when samples are small is tempting. It turns out, that few statistical methods are as reliable as throwing a coin when samples are small. In this talk, we propose few improvements using resampling and permutation methods. In particular, we will answer the question "When and how do permutation methods work?". Real data sets illustrates the application of the proposed mean based and purely nonparametric rankbased methods.
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 14.05.2019, 15:00 (WIAS405406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Michele Coghi, WIAS Berlin:
Rough nonlinear FokkerPlanck equations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstract
Motivated by McKeanVlasov diffusions with "common" noise, we present wellposedness of a nonlinear FokkerPlanck equation driven by a rough path. Joint work with Torstein Nilssen.
Host
WIAS Berlin
 Tuesday, 14.05.2019, 13:30 (WIAS406)
 Seminar Materialmodellierung
Dr. Mirjam Walloth, Technische Universiät Darmstadt:
Reliable, efficient and robust a posteriori estimators for the variational inequality in fracture phasefield models
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Monday, 13.05.2019, 14:00 (WIASESH)
 Seminar Quantitative Biomedizin
Prof. Robert Eisenberg, Rush University Chicago, USA:
The lens of the eye: Bidomain model of an osmotic pump
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The lens of the eye has no blood vessels to interfere with vision. The lens is far too large for diffusion to provide food and clear wastes. Experimental, theoretical and computational work has shown that the lens supports its own microcirculation. It is an osmotic pump. We introduce a general nonelectroneutral model that describes the steady state relationships among ion fluxes, water flow and electric field inside cells, and in the narrow extracellular spaces within the lens. Using asymptotic analysis, we derive a simplified model based on physiological data. The model reduces to the first generation analytical models. The full model explains additional data of some significance.
Host
WIAS Berlin
 Thursday, 09.05.2019, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Sebastian Franke, Technische Universität Berlin:
Quantization of dissipative resonators using quasinormal modes
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Thursday, 09.05.2019, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Dr. Christoph Freysoldt, MaxPlanckInstitut für Eisenforschung GmbH:
Concepts and algorithms in SPHInX
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
SPHInX is a C++ class library for computer simulations in material science, with a focus on electronicstructure theory. Our aim is to provide a framework that is on one hand enables physicists to implement easily new algorithms, and on the other hand makes use of developments in computer hardware and software design principles to achieve efficiency. I will give an overview over the hierarchy of available classes, and exemplify how mathematical and physical concepts are mapped onto C++ classes. I will then demonstrate the mutual benefit of concept and algorithm evolution. Last, some seemingly minor features of the SPHInX package will be highlighted, such as debugging checks, clocks, file parsing, or command line options, that proved to be immensely productive in daily work.
Host
WIAS Berlin
 Wednesday, 08.05.2019, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Amal Alphonse, WIAS Berlin:
Well posedness for a coupled bulksurface system on a moving domain modelling ligandreceptor dynamics
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
This talk is on the well posedness and regularity of solutions of a reactiondiffusion system of coupled bulksurface equations on a moving domain modelling receptorligand dynamics in cells. The coupling of the unknowns is through a nonlinear Robin boundary condition for the bulk quantity and the source terms for the two surface quantities. After motivating the model, I will discuss the difficulties posed by this system and the technical tools necessary in order to achieve the desired analytical results. This talk is based on a recent joint paper with Charlie Elliott (University of Warwick, UK) and Joana Terra (Universidad Nacional de Cordoba, Argentina).
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Tuesday, 07.05.2019, 13:30 (WIAS406)
 Seminar Materialmodellierung
Dr.Ing. Rainer Falkenberg, Bundesanstalt für Materialforschung und prüfung:
Aspects on the modelling of material degradation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Material degradation describes the loss of nominal strength. The physical causes as well as the consequences are often manifold: Mechanical loads exceeding a threshold value or temperature/speciesinduced effects are possible and can lead e.g. to a reduced loadbearing capacity in general or to crack initiation and propagation in a local sense. The formulation and solution of this initial boundary value problem must therefore cover some crucial aspects: e.g. the fulfillment of the second law of thermodynamics by the constitutive as well as the degradation model or the consideration of the PDE system's stability loss when dealing with strict local models. Wellestablished models that will be discussed in the finiteelement framework are the fracturemechanics based cohesive zone model, the damagemechanics based phasefield model and the micromechanicsbased Gursonmodel. Furthermore, an extension will be presented that allows for the simulation of corrosion processes.
Host
WIAS Berlin
 Tuesday, 30.04.2019, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
Irina Kmit, HumboldtUniversität zu Berlin:
Classical bounded and almost periodic solutions to quasilinear firstorder hyperbolic systems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We consider boundary value problems for quasilinear firstorder onedimensional hyperbolic systems in a strip. The boundary conditions are supposed to be of a smoothing type, in the sense that the L2generalized solutions to the initialboundary value problems become eventually C2smooth for any initial L2data. We investigate small global classical solutions and obtain the existence and uniqueness result under the condition that the evolution family generated by the linearized problem has exponential dichotomy on R. We prove that the dichotomy survives under small perturbations in the leading coefficients of the hyperbolic system. Assuming that the coefficients of the hyperbolic system are almost periodic, we prove that the bounded solution is almost periodic also.
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 30.04.2019, 15:00 (WIAS405406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Melina Freitag, University of Bath, UK:
A lowrank approach to the solution of weak constraint variational data assimilation problems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Host
WIAS Berlin
 Tuesday, 30.04.2019, 10:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Prof. Deb Kane, Macquarie University Sydney, Australia:
Experimental nonlinear semiconductorlaserbased systems: Rich resources for applications and nonlinear science
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Nonlinear laser systems provide rich opportunities for both theoretical modelling and for technological applications. There is significant diversity in the dynamics of the output power as a function of time, that can be derived from a single nonlinear laser system for different operating conditions, or, across different nonlinear laser systems. We have been undertaking experiments that generate high density, and/or long time series, datasets from various nonlinear laser systems as a resource for facilitating comparisons between theory and experiment, and for answering science questions. Some of our recent work will be discussed including (i) dynamical mapping of semiconductor lasers with delayed optical feedback systems, both integrated multisection systems and those using free space propagation; (ii) the dynamical diversity of the output of a long cavity VECSEL system primarily targeted for low pulse repetition rate passive modelocking; and (iii) forecasting the impact of partial coherence of delayed feedback light in systems.
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 24.04.2019, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Dirk Peschka, WIAS Berlin:
Modeling, simulation, and experiments for flows of concentrated suspensions
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 24.04.2019, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Dr. Chen Huang, Universität St. Gallen, Schweiz:
LASSO in time and space
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We consider the estimation and inference in a system of highdimensional regression equations allowing for temporal and crosssectional dependency in covariates and error processes, covering rather general forms of weak dependence. A sequence of regressions with many regressors using LASSO (Least Absolute Shrinkage and Selection Operator) is applied for variable selection purpose, and an overall penalty level is carefully chosen by a block multiplier bootstrap procedure to account for multiplicity of the equations and dependencies in the data. Correspondingly, oracle properties with a jointly selected tuning parameter are derived. We further provide highquality debiased simultaneous inference on the many target parameters of the system. We provide bootstrap consistency results of the test procedure, which are based on a general Bahadur representation for the Zestimators with dependent data. Simulations demonstrate good performance of the proposed inference procedure. Finally, we apply the method to quantify spillover effects of textual sentiment indices in a financial market and to test the connectedness among sectors.
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 23.04.2019, 13:30 (WIAS406)
 Seminar Materialmodellierung
Marijo Milicevic, AlbertLudwigsUniversität Freiburg:
The alternating direction method of multipliers with variable step sizes for the iterative solution of nonsmooth minimization problems and application to BVdamage evolution
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
The alternating direction method of multipliers (ADMM) is a flexible numerical method to solve a large class of convex minimization problems. Its most significant properties are the unconditional convergence with respect to the involved step size and the direct applicability. However, the performance critically depends on the choice of the step size. We propose an automated step size adjustment that relies on the monotonicity of the residual to accelerate the ADMM. Numerical experiments show a remarkable improvement over the standard ADMM with fixed step sizes. The ADMM with variable step sizes is then applied to a model for rateindependent, total variation regularized damage processes. The total variation regularization of the damage variable leads to sharp transitions of damaged to undamaged areas in the material. The results are compared to an H1regularization of the damage and the simulations reveal that, indeed, for the total variation regularization sharp transitions can be observed whereas for the H1regularization the interface is smeared out.
Host
WIAS Berlin
 Wednesday, 17.04.2019, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Grigor Nika, WIAS Berlin:
Multiscale modelling of magnetorheological suspensions
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Tuesday, 16.04.2019, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
Dr. Oleh Omelchenko, Universität Potsdam:
Traveling chimera states
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We overview recent results about the traveling chimera states observed in a ring of nonlocally coupled phase oscillators with broken reflection symmetry of the coupling kernel. These states manifest themselves as coherenceincoherence patterns moving along the ring. As the coupling asymmetry grows they undergo a sequence of transformations, which can be adequately explained using the continuum limit OttAntonsen equation. In the context of this equation the chimera states correspond to its smooth traveling wave solutions. Using the mathematical methods from the PDE and integral equations theory we carry out asymptotic analysis of these traveling waves, describe an algorithm for their numerical continuation and explore the spectrum of the corresponding linearized equation. We show that traveling chimera states can lose their stability via fold and Hopf bifurcations. Some of the Hopf bifurcations turn out to be supercritical resulting in the observation of modulated traveling chimera states.
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 16.04.2019, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Prof. Jérôme Lelong, Université Grenoble Alpes, Frankreich:
Pricing pathdependent Bermudan options using Wiener chaos expansion: An embarrassingly parallel approach
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In this work, we propose a new policy iteration algorithm for pricing Bermudan options when the payoff process cannot be written as a function of a lifted Markov process. Our approach is based on a modification of the wellknown Longstaff Schwartz algorithm, in which we basically replace the standard least square regression by a Wiener chaos expansion. Not only does it allow us to deal with a non Markovian setting, but it also breaks the bottleneck induced by the least square regression as the coefficients of the chaos expansion are given by scalar products on the L^2 space and can therefore be approximated by independent Monte Carlo computations. This key feature enables us to provide an embarrassingly parallel algorithm.
Further Informations
Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Host
WIAS Berlin
 Tuesday, 16.04.2019, 13:30 (WIASESH)
 Seminar Numerische Mathematik
Dr. Li Jie, University of Cambridge, GB:
Macroscopic model for headon binary droplet collisions in a gaseous medium
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this work, coalescencebouncing transitions of headon binary droplet collisions are predicted by a novel macroscopic model based entirely on fundamental laws of physics. By making use of an existing lubrication theory, we have modified the NavierStokes equations to accurately account for the rarefied nature of the interdroplet gas film. Through the disjoint pressure model, we have incorporated the intermolecular Van der Waals forces. Our model does not use any adjustable (empirical) parameters. It therefore encompasses an extreme range of length scales (more than 5 orders of magnitude): from those of the external flow in excess of the droplet size (a few hundred micros) to the effective range of the Van der Waals force around 10 nm. A state of the art moving adaptive mesh method, capable of resolving all the relevant length scales, has been employed. Our numerical simulations are able to capture the coalescencebouncing and bouncingcoalescence transitions that are observed as the collision intensity increases. The predicted transition Weber numbers for tetradecane and water droplet collisions at different pressures show remarkably good agreement with published experimental values. Our study also sheds new light on the roles of gas density, droplet size and mean free path in the rupture of the gas film.
Host
WIAS Berlin
 Thursday, 28.03.2019, 16:00 (WIASESH)
 Seminar Laserdynamik
Christian Schelte, University of the Balearic Islands, Spain:
Bistability and solitons in an injected timedelayed Kerr microcavity
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Seminar Laserdynamik
Host
WIAS Berlin
 Thursday, 28.03.2019, 10:00 (WIAS406)
 Seminar Laserdynamik
Aida Hajizadeh, LeibnizInstitut für Neurobiologie Magdeburg:
Computational modelling of signal processing in the human auditory cortex: Analytical solutions based on cortical network structure and oscillatory dynamics
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
Seminar Laserdynamik
Host
WIAS Berlin
 Wednesday, 27.03.2019, 10:30 (WIAS406)
 Seminar Interacting Random Systems
Dr. Giovanni Luca Torrisi, Istituto per le Applicazioni del Calcolo “Mauro Picone” (C.N.R), Italien:
The ClarkOcone formula for point processes
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
ClarkOcone formulas are powerful results in stochastic analysis with a variety of applications. In the talk we provide the ClarkOcone formula for squareintegrable functionals of point processes with stochastic intensity. Then we present two applications of the formula: the Poincare' inequality and a deviation bound for those functionals. Our results generalize the corresponding ones on the Poisson space
Further Informations
Seminar Interacting Random Systems
Host
WIAS Berlin
 Tuesday, 26.03.2019, 15:00 (WIASESH)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Valeriy Avanesov, WIAS Berlin:
Nonparametric change point detection in regression
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 March 20 – 22, 2019 (IAP)
 Workshop/Konferenz: Leibniz MMS Days 2019
more ... Location
LeibnizInstitute of Atmospheric Physics, Schlossstr. 6, 04318 Kühlungsborn, Germany
Host
WIAS Berlin
 Tuesday, 19.03.2019, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Darina Dvinskikh, WIAS Berlin:
Distributed decentralized (stochastic) optimization for dual friendly functions
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We study the optimal complexity bounds of firstorder methods for the problem of minimizing the finite sum of convex (strongly convex) functions. To address this problem, we appeal to distributed optimization and consider the network of multiple agents (processors) which cooperatively minimize the target function. We compare two different approaches toward the finding of the minimum depending on the functions properties in terms of oracle calls and communication rounds: primal approach and dual approach, based on the assumption of existence of the FenchelLegendre transform of the target function.
Host
WIAS Berlin
 March 18 – 22, 2019 (ZIBSEM)
 Workshop/Konferenz: New Directions in Stochastic Analysis: Rough Paths, SPDEs and Related Topics
more ... Location
ZuseZentrum für Informationstechnik (ZIB), Takustr. 7, 14195 Berlin, Seminarraum
Host
Technische Universität Berlin
WIAS Berlin
Universität Potsdam
Freie Universität Berlin
DFG Research Unit 2402
European Research Council
 Tuesday, 12.03.2019, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Malte Weber, HumboldtUniversität zu Berlin:
Community detection using belief propagation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Using the message passing algorithm "belief propagation" to detect communities in a network graph, i.e. finding subsets of the nodes of the graph which are more densly connected within, than they are to the other nodes of the graph.
Host
WIAS Berlin
 Thursday, 28.02.2019, 10:00 (WIAS406)
 Seminar Materialmodellierung
Prof. Uwe Thiele, Westfälische WilhelmsUniversität Münster:
Gradient dynamics models for films of complex fluids and beyond  dewetting, line deposition and biofilms
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
After briefly reviewing a number of experiments on dewetting and evaporating thin films/drops of simple and complex liquids, I introduce the concept of a gradient dynamics description of the evolution of interfacedominated films and drops on solid substrates. First, the case of films/drops of simple nonvolatile liquid is discussed, and illustrated with results on droplet patterns and sliding droplets. As a further example, the diffusion equation is formulated as a gradient dynamics. The obtained elements are combined into a thermodynamically consistent gradient dynamics formulation for films of mixtures and surfactant suspensions [1,2]. Next, such models are employed to investigate the outofequilibrium process of the deposition of line patterns at receding contact lines for evaporatively dewetting solutions/suspensions [3] and in Langmuir Blodgett transfer [4]. Finally, I discuss how to combine the presented thinfilm dynamics with bioactive elements to obtain models for the osmotic spreading of biofilms growing on moist agars [5]. I conclude with a summary and outlook. [1] U. Thiele, D. Todorova, H. Lopez, Phys. Rev. Lett. 111, 117801 (2013) [2] Thiele, U.; Archer, A.Pismen, L., Phys. Rev. Fluids 1, 083903 (2016). [3] U. Thiele, Advances in Colloid and Interface Science 206, 399413 (2014). [4] M.H. Köpf and U. Thiele, Nonlinearity 27, 27112734 (2014). [5] Trinschek, S.; John, K.; Lecuyer, S., Thiele, U., Phys. Rev. Lett. 119, 078003 (2017). [6] Trinschek, S.; John, K. Thiele, U., Soft Matter 14, 44644476 (2018)
Host
WIAS Berlin
 Tuesday, 26.02.2019, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr Paolo Pigato, WIAS Berlin:
Density estimates for stocastic differential equations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 19.02.2019, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Dr. Jan Schwientek; Holger Berthold, FraunhoferInstitut für Techno und Wirtschaftsmathematik ITWM:
Numerical methods for (general) semiinfinite optimization
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Semiinfinite programming has become a powerful modeling tool in (continuous) optimization tasks and is increasingly used in many practical problems from various fields recently. This is mainly due to the enormous further development of computer technology and numerical methods, which now make such problems tractable on standard PCs within reasonable time. The talk is divided into two parts. Firstly, we give a short introduction to (general) semiinfinite programming and survey its wide application range. We then review numerical methods from literature and present new promising approaches from ITWM. In the second part of the talk we give a detailed numerical comparison of several methods on basis of an exhaustive set of test problem, partly stemming from realworld applications. The focus of this comparison is on the performance of an ITWM solver opposing the other introduced numerical methods concerning running time, needed iterations, and accuracy. In doing so we investigate the behaviour of the implemented solvers also with respect to different mathematical environments like convexity and dimensionality.
Host
WIAS Berlin
 Thursday, 14.02.2019, 14:30 (WIASESH)
 Seminar Numerische Mathematik
Philipp Schroeder, GeorgAugustUniversität Göttingen:
Building bridges: Pressurerobust FEM, Beltrami flows and structure preservation in incompressible CFD
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this talk, an attempt is made to explain why pressurerobust FEM are (by construction) superior when it comes to simulating incompressible flows with a large amount of largescale/coherent structures. We show that flows with largescale structures are frequently dominated by large gradient (curlfree) forces. Pressurerobust methods are designed in exactly such a way that they can treat those forces more accurately than nonpressurerobust methods. Furthermore, the class of generalised Beltrami flows is introduced and placed in context with structure preservation and pressurerobustness. Several numerical examples, both in 2D and in 3D, of laminar and turbulent flows, are shown which underline our statements. All pressurerobust computations make us of (highorder) exactly divergencefree H(div)(H)DG methods.
Host
WIAS Berlin
 Wednesday, 13.02.2019, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Alexander Mielke, WIAS Berlin:
On similarity solutions for Kolmogorov's twoequation model for turbulence
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 13.02.2019, 11:30 (WIAS406)
 Seminar Interacting Random Systems
Peter Neijjar, Institute of Science and Technology Austria (IST Austria), Österreich:
Product limit laws at shocks in (T)ASEP
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We consider the asymmetric simple exclusion process (ASEP) on Z with an initial data such that in the large time particle density r a discontinuity at the origin is created, where the value of r jumps from zero to one, but r (resp. 1r) is strictly positive to the left (resp. right) of the origin. We consider the position of a particle macroscopically located at the discontinuity, and show that its limit law has a cutoff at the origin. Inside the discontinuity region, we show that a discrete product limit law arises, which bounds from above the limiting fluctuations of the particle in the general ASEP, and equals them in the totally ASEP. Sending the size of the shock region to infinity, we recover the product of GUE distributions previously observed at shocks in the totally ASEP.
Further Informations
Seminar Interacting Random Systems
Host
WIAS Berlin
 Wednesday, 13.02.2019, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Professor Albert Cohen, Université Pierre et Marie Curie, Paris, France:
Optimal nonintrusive methods in highdimension
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Motivated by nonintrusive approaches for highdimensional parametric PDEs, we consider the approximation of an unknown arbirary function in any dimension from the data of point samples, where the approximants are picked from given or adaptively chosen finite dimensional spaces. One principal objective is to obtain an approximation which performs as good as the orthogonal projection using a sampling budget that is linear in the dimension of the approximating space. Using a particular sampling measure, this objective turns out to be met by both leastsquares and pseudospectral methods in some probabilistic sense, however with some notable distinctions that will be discussed in this talk.
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Thursday, 07.02.2019, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Prof. Raimondas Čiegis, Vilnius Gediminas Technical University, Lithuania:
Numerical simulation of models with the memory effects: Diffusion, heat conduction, nonlinear optics
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Wednesday, 06.02.2019, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Serhiy Yanchuk, Technische Universität Berlin:
Temporal dissipative solitons in delay feedback systems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 06.02.2019, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Christian Clason, Universität DuisburgEssen:
Generalized modes in Bayesian inverse problems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this talk, we consider nonparametric modes and MAP estimates for priors that do not admit continuous densities, for which previous approaches based on small ball probabilities fail. We propose a novel denition of generalized modes based on the concept of approximating sequences, which reduce to the classical mode in certain situations that include Gaussian priors but also exist for a more general class of priors. The latter includes the case of priors that impose strict bounds on the admissible parameters and in particular of uniform priors. For uniform priors dened by random series with uniformly distributed coecients, we show that generalized MAP estimates but not classical MAP estimates can be characterized as minimizers of a suitable functional that plays the role of a generalized OnsagerMachlup functional. This is then used to show consistency of nonlinear Bayesian inverse problems with uniform priors and Gaussian noise. We also address the numerical computation of the corresponding generalized MAP estimates.
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 05.02.2019, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Jórg Polzehl, WIAS Berlin:
Towards invivo histology of the brain  some statistical contributions
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Wednesday, 30.01.2019, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Barbara Zwicknagl, Technische Universität Berlin:
On variational models for (almost) stressfree martensitic inclusions
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 30.01.2019, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. JeanPierre Florens, University of Toulouse:
Is completeness necessary? Penalized estimation in non identified linear models
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 29.01.2019, 15:15 (FU Berlin)
 Oberseminar Nonlinear Dynamics
Alejandro Kocsard, Universidade Federal Fluminense, Brazil:
Random walks, synchronization and existence of invariant measures
more ... Location
Freie Universität Berlin, Arnimallee 3, 14195 Berlin, Hinterhaus, Raum 130
Abstract
In this talk we start discussing some classical results due to Furstenberg [Fur63] about random product of matrices and how a certain form of synchronization naturally appears in this context. Then we shall consider some extensions of these results for random walks on compact smooth manifolds [Led84, Ant84, Cra90]. Finally we will see how these ideas can be used to study the existence of invariant (probability) measures for smooth actions on manifolds by some groups which are a priori nonamenable.
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 29.01.2019, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Darina Dvinskikh, WIAS Berlin:
Distributed decentralized (stochastic) optimization for dualfriendly functions
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 29.01.2019, 13:30 (WIAS406)
 Seminar Materialmodellierung
Prof. Vittorio Romano, University of Catania, Italy:
Charge and phonon transport in graphene
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
The last years have witnessed a great interest for 2Dmaterials due to their promising applications. The most investigated one is graphene which is considered as a potential new material to exploit in nanoelectronic and optoelectronic devices. Charge transport in graphene can be described with several degrees of physical complexity. At quantum level an accurate model is represented by the Wigner equation but in several cases its semiclassical limit, the Boltzmann equation, constitutes a fully acceptable model. However, the numerical difficulties encountered in the direct solution of both the Wigner and the semiclassical Boltzmann equation has prompted the development of hydrodynamical, energy transport and drift diffusion models, in view of the design of a future generation of electron devices where graphene replaces standard semiconductors like silicon and gallium arsenide. Moreover, thermal effects in low dimensional structures play a relevant role and, therefore, also phonon transport must be included. Interesting new mathematical issues related to the peculiar features of graphene arise. The main aspects will be discussed and recent results illustrated in the perspective of future developments, in particular the optimization of graphene field effect transistors.
Host
WIAS Berlin
 Thursday, 24.01.2019, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Dr. Stefan Schulz, Tyndall National Institute, Ireland:
Electronic, optical and transport properties of IIIN alloys and heterostructures: Insights from and challenges for theoretical modelling
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
InGaNbased heterostructures have attracted considerable interest for a variety of different applications. For example, the key building blocks of modern lightemitting devices operating in the blue spectral region are cplane InGaN/GaN quantum wells (QWs). It is remarkable that these devices are so successful, given the extremely high defect densities in InGaN/GaN systems. This defect insensitivity has been widely attributed to carrier localization effects introduced by alloy fluctuations, preventing carriers to reach nonradiative recombination centers. It is only recently that localization effects in InGaN QWs have been addressed in theoretical studies and, in comparison to other IIIV materials and alloys, such such as InGaAs, several key properties are not well understood. This lack of understanding ranges from fundamental material properties up to devices related aspects. In this talk, electronic and optical properties of bulk alloys, such as AlInN or InGaN, as well as InGaN quantum wells will be discussed by means of atomistic models. These approaches range from firstprinciples density functional methods up to inhouse developed empirical tightbinding models. Here, special attention is paid to nanoscale effects such as local fluctuations in intrinsic builtin fields. Theoretical results will be compared to available experimental data. Finally, theoretical and modeling challenges for instance in the area of transport calculations will be discussed and reviewed. Initial results of coupled tightbinding nonequilibrium Green?s function transport calculations will be presented.
Host
WIAS Berlin
 Wednesday, 23.01.2019, 15:00 (WIASESH)
 Seminar Numerische Mathematik
Prof. Vladimir A. Garanzha, Russian Academy of Sciences:
Moving adaptive meshes based on the hyperelastic stress deformation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We suggest an algorithm for the timedependent mesh deformation based on the minimization of hyperelastic quasiisometric functional without introducing time derivatives. The source of deformation is a timedependent metric tensor in Eulerian coordinates. Due to the nonlinearity of the EulerLagrange equations we can not assume that the norm of its residual is reduced to zero at each time step. Thus, time continuity of the moving mesh is not guaranteed since iterative minimization may result in considerable displacements even for infinitely small time steps. To solve this problem, we introduce a special variant of factorized representation of Lagrangian metric tensor and nonlinear interpolation procedure for factors of this metric tensor. Continuation problem with respect to interpolation parameters is similar to the hypoelastic deformation with a controlled stress relaxation. At each time step we start with a Lagrangian metric tensor which completely eliminates internal elastic stresses and makes current mesh an exact solution of the EulerLagrange equations. The continuation procedure gradually introduces internal stresses back while forcing the deformation to follow the prescribed Eulerian metric tensor. At each step of the continuation procedure the functional is approximately minimized using a few steps of the parallel preconditioned gradient search algorithm. We derive an auxiliary discrete evolution equation for target shape matrices (factors of Lagrangian metric tensor) which resembles stress relaxation equations in hypoelasticity. We present 2d and 3d examples of moving deforming meshes which serve to represent moving bodies for parallel immersed boundary flow solver.
Host
WIAS Berlin
 Wednesday, 23.01.2019, 13:00 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Prof. Dr. Maria Soledad Aronna, Technische Universität:
On second order optimality conditions for controlaffine problems: the finite and infinite dimensional case
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this talk I will present the main features of first and second order optimality conditions for optimal control problems of ordinary differential equations that are affine with respect to the control. Problems will be considered in the presence of control constraints. Both necessary and sufficient conditions for optimality will be presented. I will then show the extension of those results for a class of bilinear partial differential equations. Finally, if time allows it, I will briefly discuss the stateconstrained case.
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 23.01.2019, 11:30 (WIAS406)
 Seminar Interacting Random Systems
Pierre Houdebert, AixMarseille Université, Frankreich:
Sharp phase transition for the WidomRowlinson model
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
The WidomRowlinson model is formally defined as two homogeneous Poisson point processes forbidding the points of different type to be too close. For this Gibbs model the question of uniqueness/ nonuniqueness depending on the two intensities is relevant. This model is famous because it was the first continuum Gibbs model for which phase transition was proven, in the symmetric case of equal intensities large enough. But nothing was known in the nonsymmetric case, where it is conjectured that uniqueness would hold. In a recent work with D. Dereudre (Lille), we partially solved this conjecture, proving that for large enough activities the phase transition is only possible in the symmetric case of equal intensities. The proof uses percolation and stochastic domination arguments.
Further Informations
Seminar Interacting Random Systems
Host
WIAS Berlin
 Tuesday, 22.01.2019, 15:15 (FU Berlin)
 Oberseminar Nonlinear Dynamics
Edgard Pimentel, Pontifical Catholic University of Rio de Janeiro, Brazil:
Geometric methods in regularity theory for nonlinear PDEs
more ... Location
Freie Universität Berlin, Arnimallee 3, 14195 Berlin, Hinterhaus, Raum 130
Abstract
In this talk we examine the regularity theory of the solutions to a few examples of nonlinear PDEs. Arguing through a genuinely geometrical method, we produce regularity results in Sobolev and Hölder spaces, including some borderline cases. Our techniques relate a problem of interest to a further one  for which a richer theory is available  by means of a geometric structure, e..g., a path. Ideally, information is transported along such a path, giving access to finer properties of the original equation. In the first part of the talk, we cover examples including elliptic and parabolic fully nonlinear problems, the Isaacs equation and a double divergence model. Then we proceed to the setting of statedependent degenerate problems and report recent (optimal) results. We close the talk with a discussion on open problems and further directions of work.
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 22.01.2019, 15:00 (WIASESH)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Prof. Ahmed Kebaier, Université Paris 13, France:
Asymptotic properties of maximum likelihood estimator for the drift parameters of jumptype square root processes
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Host
WIAS Berlin
 Wednesday, 16.01.2019, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Joachim Rehberg, WIAS Berlin:
An extrapolation for the LaxMilgram isomorphism for second order divergence operators
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In 1989 Gröger generalized the famous isomorphy result of Meyer to a setting which allows for mixed boundary conditions. We again generalize Gröger's result to much more general geometric configurations.
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 16.01.2019, 13:00 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Tobias Keil, WIAS Berlin:
Optimal control of a coupled CahnHilliardNavierStokes system with variable fluid densities
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
This talk is concerned with the optimal control of two immiscible fluids with nonmatched densities. For the mathematical formulation of the fluid phases, we use a coupled CahnHilliard/NavierStokes system by Abels, Garcke and Grün, which involves a variational inequality of fourth order. We verify the existence of solutions to a suitable time discretization of the system and formulate an associated optimal control problem. We further discuss the differentiability properties of the controltostate operator and the corresponding stationarity concepts and present strong stationarity conditions for the problem. This enables us to provide a numerical solution algorithm which terminates at an at least Cstationary point which  in the best case  is even strongly stationary. The method is based on an adaptation of a bundlefree implicit programming approach for MPECs in function space presented by Hintermüller and Surowiec in 2016.
Further Informations
Joint Research Seminar on Mathematical Optimization / Nonsmooth Variational Problems and Operator Equations
Host
WIAS Berlin
 Wednesday, 16.01.2019, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Dr. Mathias Trabs, Universität Hamburg:
Parameter estimation for stochastic PDEs based on discrete observations in time and space
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Motivated by random phenomena in natural science as well as by mathematical finance, stochastic partial differential equations (SPDEs) have been intensively studied during the last fifty years with a main focus on theoretical analytic and probabilistic aspects. Thanks to the exploding number of available data and the fast progress in information technology, SPDE models become nowadays increasingly popular for practitioners, for instance, to model neuronal systems or interest rate fluctuations to give only two examples. Consequently, statistical methods are required to calibrate this class of complex models. We study the parameter estimation for parabolic, linear, second order SPDEs observing a mild solution on a discrete grid in time and space. Focusing first on volatility estimation and assuming a highfrequency regime in time, we provide an explicit and easy to implement method of moments estimator based on squared time increments of the process. If the observation frequency in time is finer than in space, the estimator is consistent and admits a central limit theorem. This is established moreover for the estimation of the integrated volatility in a semiparametric framework. In a second step, we consider not only time increments of the solution field but also space increments as well as spacetime increments. This allows for the construction of estimators which are robust with respect to the sampling regime, i.e., they are also applicable if the observation grid in space is finer than in time. Finally, we discuss the estimation of the parameters in the differential operator which determines the SPDE. This talk is based on joint works with Markus Bibinger and Florian Hildebrandt.
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 15.01.2019, 15:15 (FU Berlin)
 Oberseminar Nonlinear Dynamics
Prof. Willie Hsia, National Taiwan University:
On the mathematical analysis of the synchronization theory with timedelay effect
more ... Location
Freie Universität Berlin, Arnimallee 3, 14195 Berlin, Hinterhaus, Raum 130
Abstract
In this lecture, we will introduce a newly developed mathematical theory on the synchronized collective behavior of the Kuramoto oscillators with timedelayed interactions and phase lag effect. Both the phase synchronization and frequency synchronization are in view. This is joint work with Bongsuk Kwon, ChangYeol Jung and Yoshihiro Ueda.
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 15.01.2019, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Alexander Gasnikov, Moscow Institute of Physics and Technology, Russische Föderation:
Adaptive accelerated stochastic gradient descent
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Host
WIAS Berlin
 Friday, 11.01.2019, 15:00 (WIAS406)
 Seminar Interacting Random Systems
Dr. Darcy Camargo, The Weizmann Institute of Science, Israel:
The meteor process stationary distribution
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
The Potlatch and Smoothing processes have a long story of studies and application, but even today not much is known about their stationary distributions when they exist. In this talk we will present the simplest version of such models and expose recent developments and techniques used to get them, especially the coupling by WIMPs and Matching.
Further Informations
Seminar Interacting Random Systems
Host
WIAS Berlin
 Thursday, 10.01.2019, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Dr. Naveed Ahmed, Lahore University of Management Sciences, Pakistan:
Numerical comparisons of finite element stabilized methods for a 2D vortex dynamics simulation at high Reynolds number
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this talk, I will present an uptodate and classical Finite Element (FE) stabiliz ed methods for timedependent incompressible flows. All studied methods belong to the Variational MultiScale (VMS) framework. So, different realizations of stabilized FEVMS methods are compared in a high Reynolds number vortex dynamics simulation. In particular, a fully ResidualBased (RB)VMS method is compared with the classical StreamlineUpwind PetrovGalerkin (SUPG) method together with graddiv stabilization, a standard onelevel Local Projection Stabilization (LPS) method, and a recently proposed LPS method by interpolation. These procedures do not make use of the statistical theory of equilibrium turbulence, and no adhoc eddy viscosity modeling is required for all methods. Applications to the simulation of a high Reynolds numbers flow with vortical structures on relatively coarse grids are showcased, by focusing on a twodimensional plane mixinglayer flow. Both InfSup Stable (ISS) and Equal Order (EO) (H^1)conforming FE pairs are explored, using a secondorder semiimplicit Backward Differentiation Formula (BDF2) in time. Based on the numerical studies, it is concluded that the SUPG method using EO FE pairs performs best among all methods. Furthermore, there seems to be no reason to extend the SUPG method by the higher order terms of the RBVMS method.
Host
WIAS Berlin
 Wednesday, 09.01.2019, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar) & Seminar Materialmodellierung
Prof. Dr. Peter Friz, TU Berlin/ WIAS Berlin:
On differential equations with singular forcing
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
There is much recent progress in our ability to analyze (ordinary and partial) differential equations subjected to singular forcing. This will not be a big survey talk, I will instead focus on some explicit examples.
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 09.01.2019, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Dr. Frank Werner, GeorgAugustUniversität Göttingen:
Empirical risk minimization as parameter choice rule for filterbased regularization methods
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We consider aposteriori parameter choice rules for filter based linear regularization methods in the statistical inverse problem setting. In particular, we investigate the choice of the regularization parameter by minimizing an unbiased estimate of the predictive risk. This parameter choice rule and its usage are wellknown in the literature, but oracle inequalities and optimality results in this general setting are unknown. We prove a (generalized) oracle inequality, which relates the direct risk with the minimal prediction risk. From this oracle inequality, we are then able to conclude that filter based regularization methods with the investigated parameter choice rule achieve convergence rates of optimal order with respect to the mean integrated squared error in mildly illposed problems. Finally, we also present numerical simulations, which support the order optimality of the method and the finite sample performance of the parameter choice. In these simulations, we also investigate the behavior of different a posteriori parameter choice methods in exponentially illposed problems. This is joint work with Housen Li (University of Göttingen).
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Wednesday, 19.12.2018, 11:30 (WIAS406)
 Seminar Interacting Random Systems
Carina Betken, Universität Osnabrück:
Dynamic random graphs: Sedentary random waypoint and preferential attachment models
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
Seminar Interacting Random Systems
Host
WIAS Berlin
 Wednesday, 19.12.2018, 11:00 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Dr. Olivier Huber, HumboldtUniversität zu Berlin:
Using reformulations in nonsmooth mathematical programming: the examples of friction contact problems and optimal value functions
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this talk we illustrate how reformulations can be used to deal with nonsmoothness. In particular, we look at two specific structures arising from applications: the first one concerns finite dimensional variational inequalities with a nonsmooth functional. This is motivated by the study of contact problems with Coulomb friction. The second example involves optimization models with Optimal Value Functions (OVF) in the problem data. The OVF concept subsumes regularizers from fitting problems and coherent risk measures from Stochastic Optimization. Each reformulation scheme rely on tools from convex and variational analysis. In both instances, we obtain equivalent problems that are solvable by offtheshelf solvers. Finally, numerical results are presented and discussed: in the OVF case, the example is a riskaverse equilibrium problem from the electricity market.
Further Informations
Joint Research Seminar on Mathematical Optimization / Nonsmooth Variational Problems and Operator Equations
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 12.12.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Joachim Rehberg, WIAS Berlin:
L^{∞} bounds for the Neumann problem
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 12.12.2018, 11:30 (WIAS406)
 Seminar Interacting Random Systems
Prof. Dr. Kwabena DokuAmponsah, University of Ghana School of Physical and Mathematical Sciences, Ghana, Republik:
Joint large deviation result for empirical measures of the random geometric graphs
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We prove joint large deviation principle for the empirical pair measure and empirical locality measure of the near intermediate coloured random geometric graph models on n points picked uniformly in the space [0; 1]d; for d 2 N: From this result we obtain large deviation principles for the number of edges per vertex, the degree distribution and the proportion of isolated vertices for the near intermediate random geometric graph models.
Further Informations
Seminar Interacting Random Systems
Host
WIAS Berlin
 Wednesday, 12.12.2018, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Botond Szabo, Universität Leiden, Niederlande:
On the fundamental understanding of distributed computation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In recent years, the amount of available information has become so vast in certain fields of applications that it is infeasible or undesirable to carry out the computations on a single server. This has motivated the design and study of distributed statistical or learning methods. In distributed methods, the data is split amongst different administrative units and computations are carried out locally in parallel to each other. The outcome of the local computations are then aggregated into a final result on a central machine. In this talk we will consider the limitations and guarantees of distributed methods in general under communication constraints (i.e. only limited amount of bits are allowed to be transmitted between the machines) on the random design regression model. We derive minimax lower bounds, matching upper bounds and provide adaptive estimators reaching these limits. This is an ongoing joint work with Harry van Zanten.
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
Westfälische WilhelmsUniversität Münster
 Tuesday, 11.12.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Prof. Mathias Staudigl, Universität Maastricht, Niederlande:
On the convergence of gradientlike flows with noisy gradient input
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 11.12.2018, 13:30 (WIASESH)
 Seminar Numerische Mathematik
Dr. Wolfgang Dreyer, WIAS Berlin:
Kinetic theory of incompressible nonnewtonian fluids
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We consider a nonnewtonian fluid consisting of a newtonian solvent and polymer molecules as solute. The kinetic theory models the polymer molecules as dumbbells and compiles dynamical equations that embody internal dumbbell interactions and interactions of the dumbbell with the surrounding fluid via its velocity gradient. The dynamical equations imply a generalized FokkerPlanck equation for a distribution function of the system of polymer molecules. Then the FokkerPlanck equation is used to derive macroscopic evolution equations for certain mean values. For given velocity gradient of the fluid, three evolution equations are needed to end up with a closed equation system for the polymer molecules. The corresponding three thermodynamic variables are the number density, the mean squared endto end distance of a polymer molecule and the polymer stress. Finally we prove an Htheorem and solve the subtle problem of thermodynamic consistency.
Host
WIAS Berlin
 Tuesday, 11.12.2018, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Dr. Jitka Machalová, Palacky University Olomouc, Tschechische Republik:
Contact problem solution for nonlinear beam and foundation by CVM
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 December 5 – 7, 2018 (WIASESH)
 Workshop/Konferenz: 13th International Workshop on Variational Multiscale and Stabilized Finite Elements
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Wednesday, 05.12.2018, 11:30 (WIASHVP3.13)
 Seminar Interacting Random Systems
Prof. Dr. Serguei Popov, University of Campinas  UNICAMP, Brasilien:
Twodimensional random interlacements, conditional SRW, and the cryptocurrencies
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 3. Etage, Raum: 3.13
Abstract
Serguei Popov will briefly describe his recent research topics mentioned in the title.
Further Informations
Seminar Interacting Random Systems
Host
WIAS Berlin
 Wednesday, 05.12.2018, 10:00 (WIAS405406)
 Forschungsseminar Mathematische Statistik
Matthias Löffler, University of Cambridge, GB:
Spectral thresholding for Markov chain transition operators
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstract
We consider estimation of the transition operator P of a Markov chain and its transition density p where the eigenvalues of P are assumed to decay exponentially fast. This is for instance the case for periodised multidimensional diffusions observed in low frequency. We investigate the performance of a spectral hard thresholded Galerkintype estimator for P and p, discarding most of the estimated eigenpairs. Our main contribution is that we show its statistical optimality by establishing matching minimax upper and lower bounds in L^2loss. Particularly, the effect of the dimension d on the nonparametric rate improves from 2d to d.
Further Informations
Forschungsseminar “Mathematische Statistik”
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 04.12.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Yangwen Sun, HumboldtUniversität zu Berlin:
Complete graph based online change point detection
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Host
WIAS Berlin
 Friday, 30.11.2018, 13:00 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
StevenMarian Stengl:
Uncertainty Quantification of the AmbrosioTortorelli approximation in image segmentation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this talk we want to deal with quantification of uncertainties in image segmentation based on the MumfordShah model. The aim is to address the error propagation of noise and other error types in the original image to the segmentation and especially the edges. We analyze therefore the in the literature wellknown AmbrosioTortorelli approximation and discuss the existence of measurable selections of its solutions as well as samplingbased methods. We end the talk with numerical examples.
Further Informations
Joint Research Seminar on Mathematical Optimization / Nonsmooth Variational Problems and Operator Equations
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Thursday, 29.11.2018, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Prof. J.H.M. ten Thije Boonkkamp, Eindhoven University of Technology, Niederlande:
Flux vector approximation schemes for systems of conservation laws
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Conservation laws in continuum physics are often coupled, for example the continuity equations for a reacting gas mixture or a plasma are coupled through multispecies diffusion and a complicated reaction mechanism. For space discretisation of these equations we employ the finite volume method. The purpose of this talk is to present novel flux vector approximation schemes that incorporate this coupling in the discretisation. More specifically, we consider as model problems linear advectiondiffusion systems with a nonlinear source and linear diffusionreaction systems, also with a nonlinear source. The new flux approximation schemes are inspired by the complete flux scheme for scalar equations, see [1]. An extension to systems of equations is presented in [2]. The basic idea is to compute the numerical flux vector at a cell interface from a local inhomogeneous ODEsystem, thus including the nonlinear source. As a consequence, the numerical flux vector is the superposition of a homogeneous flux, corresponding to the homogeneous ODEsystem, and an inhomogeneous flux, taking into account the effect of the nonlinear source. The homogeneous ODEsystem is either an advectiondiffusion system or a diffusionreaction system. In the first case, the homogeneous flux contains only realvalued exponentials, on the other hand, in the second case, also complexvalued components are possible, generating oscillatory solutions. The inclusion of the inhomogeneous flux makes that all schemes display second order convergence, uniformly in all parameters (Peclet and Damköhler numbers). The performance of the novel schemes is demonstrated for several test cases, moreover, we investigate several limiting cases.
References
[1] J.H.M. ten Thije Boonkkamp and M.J.H. Anthonissen, “The finite volumecomplete flux scheme for advectiondiffusionreaction equations”, J. Sci. Comput., 46, 4770, (2011).
[2] J.H.M. ten Thije Boonkkamp, J. van Dijk, L. Liu and K.S.C. Peerenboom, “Extension of the complete flux scheme to systems of comservation laws”, J. Sci. Comput., 53, 552568, (2012).
Host
WIAS Berlin
 Wednesday, 28.11.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. PierreÉtienne Druet, WIAS:
Analysis of mass transfer, NavierStokes equations for multicomponent fluids subject to a volume constraint
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 28.11.2018, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Melanie Schienle, Karlsruher Institut für Technologie:
Determination of vector error correction models for different types of highdimensionality
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We provide a shrinkage type methodology which allows for simultaneous model selection and estimation of vector error correction models (VECM) when the dimension is large and can increase with sample size. Model determination is treated as a joint selection problem of cointegrating rank and autoregressive lags under respective practically valid sparsity assumptions. We show consistency of the selection mechanism by the resulting LassoVECM estimator under very general assumptions on dimension, rank and error terms. Moreover, with computational complexity of a linear programming problem only, the procedure remains computationally tractable in high dimensions. For the subcase of finite dimensions, we can modify and tailor the procedure with elementwise selection consistency. For ultrahigh dimensions we suggest a completely diferent prescreening approach. We demonstrate the effectiveness of the proposed techniques in simulations and an empirical application to recent CDS data after the financial crisis.
Further Informations
Forschungsseminar “Mathematische Statistik”
Host
Universität Potsdam
HumboldtUniversität zu Berlin
WIAS Berlin
 Tuesday, 27.11.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Yegor Klochkov, HumboldtUniversitát zu Berlin:
On uniform HansonWright type inequalities for subGaussian entries
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We investigate concentration of supremum of quadratic forms via entropy inequality. The problem is well understood for Gaussian vectors, and, more generally for Kconcentrated vectors. We extend the result to vectors with indpenent subGaussian entries with an extra logarythmic term. This is a joint work with Nikita Zhivotovskiy.
Further Informations
Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Host
WIAS Berlin
 Wednesday, 21.11.2018, 10:45 (WIASHVP3.13)
 Seminar Interacting Random Systems
Wen Sun, TU Berlin:
On the asymptotic distribution of nucleation times of polymerization processes
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 3. Etage, Raum: 3.13
Abstract
Experiments have shown that there is a sharp phase transition in polymerization: it takes long time to have small amount of stable polymers and once some amount of stable polymers appear, very quickly all particles are polymerized. Moreover, the lag time usually have a very high variance. We propose a growthfragmentation model with a critical mass to explain these phenomenon. Particles having a mass less than this critical mass are unstable  they are fragmented much more quicker than the larger particles. A scaling approach is used, by taking the initial total mass N as a scaling parameter and assuming that the ratio of the unstable fragmentation rates to stable fragmentation rates are of order Phi(N), which is a nondecreasing function of N. We study the time evolution of this infinite dimension process under a certain class of fragmentation distributions. We show that 1) with a proper scaling parameter, the time (T) spent for the stable polymers that generating from small particles is asymptotically exponential distributed; 2) the time for the growth of stable particles has a much smaller order than T. The exponential distribution explains the high variance and the different time scales explain the sharp phase transition. These results are proved via stochastic calculus, estimations for occupation measures on different time scales, some coupling techniques and branching processes. It is a joint work with Philippe Robert.
Further Informations
Forschungsgruppenseminar Interacting Random System
Host
WIAS Berlin
 Wednesday, 21.11.2018, 10:00 (WIAS406)
 Forschungsseminar Mathematische Statistik
Prof. Markus Bibinger, Universität Marburg:
Statistical analysis of path properties of volatility
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In this talk, we review recent contributions on statistical theory to infer path properties of volatility. The interest is in the latent volatility of an It^o semimartingale, the latter being discretely observed over a fixed time horizon. We consider tests to discriminate continuous paths from paths with volatility jumps. Both a local test for jumps at speciied times and a global test for jumps over the whole observation interval are discussed. We establish consistency and optimality properties under infill asymptotics, also for observations with additional additive noise. Recently, there is high interest in the smoothness regularity of the volatility process as confl icting models are proposed in the literature. To address this point, we consider inference on the Hurst exponent of fractional stochastic volatility processes. Even though the regularity of the volatility determines optimal spot volatility estimation methods, forecasting techniques and the volatility persistence, identifiability is an unsolved question in highfrequency statistics. We discuss a first approach which can reveal if path properties are stable over time or changing. Eventually, we discuss some recent considerations and conjectures on this open question. The related easier problem of inference on the Hurst exponent from direct discrete observations of a fractional Brownian motion is also visited.
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 20.11.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Michele Coghi, WIAS (Berlin):
Pathwise McKeanVlasov theory
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We take a pathwise approach to classical McKeanVlasov stochastic differential equations, as found e.g. in Sznitmann. We are much inspired by CassLyons (and more recent works of Bailleul et al.), but avoid all rough path complications due to our focus on additive noise. The resulting “pathwise McKeanVlasov theory” is both simple and powerful: as applications we discuss propagation of chaos with a priori independence and exchangeability assumption; common noise and reflecting boundaries are also easy to handle in this framework, last not least we can generalise the DawsonGärtner large deviation result to nonBrownian noise.
Host
WIAS Berlin
 November 19 – 21, 2018 (WIASESH)
 Workshop/Konferenz: Dynamics of Coupled Oscillator Systems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Friday, 16.11.2018, 14:00 (WIASESH)
 Seminar Quantitative Biomedizin
Priv.Doz. Dr Thomas Bocklitz, LeibnizInstitut für Photonische Technologien:
Machine learning of molecular sensitive spectral and image data
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Molecular sensitive imaging modalities, like multimodal imaging, e.g. the combination of coherentantiStokes Raman scattering (CARS), secondharmonic generation (SHG) and twophotonexcited fluorescence (TPEF), and Raman spectroscopic imaging feature a unique potential for disease diagnostics and treatment monitoring. In proofofprinciple studies the potential of these both imaging modalities for cancer detection and diagnostics of chronic inflammatory bowel diseases could be demonstrated. In order to utilize the huge potential of multimodal imaging and Raman spectroscopic imaging for diagnostic tasks powerful machine learning methods are necessary, which translate the experimental imaging data into medical information. This translation process is composed of image standardization, correction procedures to eliminate corrupting contributions within the acquired images, image enhancement methods and feature extraction procedures in the case of multimodal imaging. For Raman spectroscopic imaging advanced signal processing for correcting and standardizing the spectral data is necessary. After this socalled preprocessing was carried out, models like regression or classification methods can be applied to extract medical relevant information. This contribution shows, how the preprocessing have to be tailored to the measurement modalities and how the feature extraction has to be adapted to the samples and the specific diagnostic task to be solved.
Further Informations
Seminar "`Quantitative Biomedizin"'
Host
WIAS Berlin
 Thursday, 15.11.2018, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Dr. Gediminas Slekas, Vilnius Gediminas Technical University, Lithuania:
Solution of Boltzmann transport equation for photoexcited electrons in semiconductor with strong electric field
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Photoconductive terahertz antennas based on a low temperature grown gallium arsenide are one of the most popular and most promising terahertz wave generators developed so far. The operation of such antennas is based on relaxation of photoexcited electrons in high electric field. Electrons excited to the conductivity band of semiconductor are moving towards antennas contacts producing electric current, which induces terahertz pulse. Whereas the electron recombination time is less than picosecond, the dynamics of electrons is highly nonlinear. Driftdiffusion model is the simplest nontrivial carrier transport model which is derived as the zeroth order moment of Boltzmann transport equation. For many decades it has been used as a basic tool for simulation of semiconductor devices. However, nonlinear effects, such as electron velocity overshoot, are not described by driftdiffusion equations, so higher order transport models are used to include this effect into calculations. On the one hand, higher order models still require a lot of finetuning and a detailed understanding of the underlying physical phenomena. On the other hand, they are still not adapted to the case when initial distribution of electrons is far from thermal equilibrium, which is true in the latter case. Monte Carlo simulation is the golden tool for solution of Boltzmann equation. However this method is very computationally expensive, so it is not very reasonable for optimization problems.
Host
WIAS Berlin
 Thursday, 15.11.2018, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Prof. Jonathan Shewchuk, University of California at Berkeley, USA:
Higherquality tetrahedral mesh generation for domains with small angles by constrained Delaunay refinement
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Most algorithms for guaranteedquality tetrahedral mesh generation create Delaunay meshes. Delaunay triangulations have many good properties, but the requirement that all tetrahedra be Delaunay often forces mesh generators to overrefine where boundary polygons meet at small anglesthat is, they produce too many tetrahedra, making them too small. Relaxing the Delaunay property makes it possible both to reduce overrefinement and to obtain higherquality tetrahedra.
We describe a provably good algorithm that generates highquality meshes that are *constrained* Delaunay triangulations, rather than purely Delaunay. This change has two big advantages: it allows us to generate higherquality tetrahedra than purely Delaunay algorithms do, and it allows us to cope much more successfully with domains that have small angles. Both theory and an implementation show that our algorithm does not overrefine near small domain angles.
Host
WIAS Berlin
 Wednesday, 14.11.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Hannes Meinlschmidt, RICAM, Linz, Österreich:
Maximal regularity in optimal control for quasilinear parabolic evolution equations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 14.11.2018, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Jürgen Pilz, Universität Klagenfurt:
The interplay between random field models for Bayesian spatial prediction and the design of computer experiments
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In the first part of my talk, I will give an overview of recent work with my colleagues G. Spoeck and H. Kazianka in the area of Bayesian spatial prediction and design [1][5]. The Bayesian approach not only offers more flexibility in modeling but also allows us to deal with uncertain distribution parameters, and it leads to more realistic estimates for the predicted variances. Moreover, I will demonstrate how to apply copula methodology to Bayesian spatial modeling and use it to derive predictive distributions. I will also report on recent results for determining objective priors for the crucial nugget and range parameters of the widely used Maternfamily of covariance functions. Briefly, I will also consider the problem of choosing an öptimal" spatial design, i.e. finding an optimal spatial configuration of the observation sites minimizing the total mean squared error of prediction over an area of interest. Our results will be illustrated by modeling environmental phenomena and designing a hyrogeological monitoring network in Upper Austria. In the second part of my talk I will report on modifying and transferring spatial random field models to make them accessible to the analysis of complex computer code. Over the last three decades, the design of computer experiments has rapidly developed as a statistical discipline at the intersection of the well established theories of DoE, stochastic processes, stochastic simulation and statistical parameter estimation, with the aim of approximating complex computer models to reproduce the behaviour of engineering, physical, biological, environmental and social science processes. We will focus on the use of Gaussian Processes (GPs) for the approximation of computer models, thereby stepping from simple parametric setups to using GPs as basis functions of additive models. Then we discuss the numerical problems associated with the estimation of the model parameters, in particular, the secondorder (variance and correlation) parameters. To overcome these problems I will highlight joint recent work with my colleague N. Vollert [6] using Bayesian regularization, based on objective (reference) priors for the parameters. Finally, we will consider design problems associated with the search for numerical robustness of the estimation procedures. We illustrate our findings by modeling the magnetic field of a magnetic linear position detection system as used in the automotive industry. References: [1] H. Kazianka and J. Pilz: Bayesian spatial modeling and interpolation using copulas. Computers & Geosciences 37(3): 310319, 2011 [2] H. Kazianka and J. Pilz: Objective Bayesian analysis of spatial data taking account of nugget andrange parameters. The Canadian Journal of Statistics 40(2): 304327, 2012 [3] J. Pilz, H. Kazianka and G. Spoeck: Some advances in Bayesian spatial prediction and sampling design. Spatial Statistics 1: 6581, 2012 [4] G. Spoeck and J. Pilz: Spatial sampling design based on spectral approximations of the errorprocess. In: Spatiotemporal design: Advances in Efficient Data Acquisition (W.G. Mueller and J. Mateu, Eds.), Wiley, New York 2013, 72102 [5] G. Spoeck and J. Pilz: Simplifying objective functions and avoiding stochastic search algorithms in spatial sampling design. Front. Environ. Sci. 3:39: 122, 2015 [6] N. Vollert, M. Ortner and J. Pilz: Robust Additive Gaussian Process Models Using ReferencePriors and CutOffDesigns. To appear in: Applied Mathematical Modelling (2019), https://doi.org/10.1016/j.apm.2018.07.050
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 13.11.2018, 15:00 (WIASHVP3.13)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
PhD Eric Joseph Hall, RheinischWestfälische Technische Hochschule Aachen:
Causality and Bayesian network PDE for multiscale representations of porous media
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 3. Etage, Raum: 3.13
Abstract
Hierarchical porous media that feature properties and processes at multiple scales arise in many engineering applications including the design of novel materials for energy storage devices. Microscopic (porescale) properties of the media impact their macroscopic (continuum or Darcyscale) counterparts and understanding the relationships between processes on these two scales is essential for informing engineering decision tasks. However, microscopic properties typically exhibit complex statistical correlations that present challenges for the estimation of macroscopic quantities of interest (QoIs), e.g., global sensitivity analysis (GSA) of macroscopic QoIs with respect to microscopic material properties that respect structural constraints. We present a systematic framework for building correlations into stochastic multiscale models through Bayesian networks. This allows us to construct the joint probability density function (PDF) of model parameters through causal relationships that emulate engineering processes related to the design of hierarchical nanoporous materials. Such PDFs also serve as input for the forward propagation of parametric uncertainty; our findings indicate that the inclusion of causal relationships impacts predictions of macroscopic QoIs. To assess the impact of correlations and causal relationships between microscopic parameters on macroscopic material properties, we use a momentindependent GSA based on the differential mutual information. Our GSA accounts for the correlated inputs and complex nonGaussian QoIs. The global sensitivity indices are used to rank the effect of uncertainty in microscopic parameters on macroscopic QoIs, to quantify the impact of causality on the multiscale model's predictions, and to provide physical interpretations of these results for hierarchical nanoporous materials.
Further Informations
Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Host
WIAS Berlin
 Tuesday, 13.11.2018, 14:15 (TUBMA 415)
 Oberseminar Nonlinear Dynamics
Dr. Hannes Stuke, Freie Universität Berlin:
A dynamical systems approach to outlier robust machine learning
more ... Location
Technische Universität, Straße des 17. Juni 136, 10623 Berlin, MA 415
Abstract
We consider a typical problem of machine learning  the reconstruction of probability distributions of observed data. We introduce the socalled gradient conjugate prior (GCP) update and study the induced dynamical system. We will explain the dynamics of the parameters and show how one can use insights from the dynamical behavior to recover the ground truth distribution in a way that is more robust agains outliers. The developed approach also carries over to neutral networks.
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 13.11.2018, 13:30 (WIAS406)
 Seminar Materialmodellierung
Alex Christoph Goeßmann, FritzHaberInstitut der MaxPlanckGesellschaft:
Representing crystals for kernelbased learning of their properties
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Accurate modeling of manybody systems like crystals requires to capture their quantummechanical nature at the atomic scale. The solution of the associated electronic structure problem is however illusional due to the number of variables, but we obtain certain properties by computationaldemanding methods like densityfunctional theory. In this talk, I will discuss the potential of kernelbased machine learning to circumvent this computational bottleneck and predict crystal properties. A crucial preliminary step is the representation of crystals, which has to satisfy different conditions for the learning to perform optimally.
Host
WIAS Berlin
 Monday, 12.11.2018, 13:00 (WIASESH)
 Seminar Quantitative Biomedizin
Prof. Anna MarciniakCzochra, Universität Heidelberg:
PostTuring tissue pattern formation: Insights from mathematical modelling
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Cells and tissue are objects of the physical world, and therefore they obey the laws of physics and chemistry, notwithstanding the molecular complexity of biological systems. What are the mathematical principles that are at play in generating such complex entities from simple laws? Understanding the role of mechanical and mechanochemical interactions in cell processes, tissue development, regeneration and disease has become a rapidly expanding research field in the life sciences.To reveal the patterning potential of mechanochemical interactions, we have developed two classes of mathematical models coupling dynamics of diffusing molecular signals with a model of tissue deformation. First we derived a model based on energy minimisation that leads to 4th order partial differential equations of evolution of infinitely thin deforming tissue (pseudo3D model) coupled with a surface reactiondiffusion equation. The second approach (full3D model) consists of a continuous model of large tissue deformation coupled with a discrete description of spatial distribution of cells to account for active deformation of single cells. The models account for a range of mechanochemical feedbacks, such as signallingdependent strain, stress, or tissue compression. Numerical simulations show ability of the proposed mechanisms to generate development of various spatiotemporal structures. We compare the resulting patterns of tissue invagination and evagination to those encountered in developmental biology. We discuss analytical and numerical challenges of the proposed models and compare them to the classical Turing patterns as well as reactiondiffusion ODE models coupling diffusionbased celltocell communication with intracellular signalling.
Host
WIAS Berlin
 Wednesday, 07.11.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Thomas Frenzel, WIAS Berlin:
Membrane limit for porous medium equation in weighted Wasserstein space
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We discuss the limit passage of a porous medium equation where a membrane is enclosed by two bulkparts. The diffusion coefficient on the membranepart scales like its thickness. By using a gradient structure with a weighted Wasserstein dissipation we perform the analysis by means of evolutionary Gammaconvergence. The major issue is then in deriving the effective dissipation potential. As a byproduct we obtain the transmission condition that couples the equations of the remaining bulk parts on the membrane with zero thickness.
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 07.11.2018, 11:30 (WIAS406)
 Seminar Interacting Random Systems
András Tóbiás, Technische Universität Berlin:
Signal to interference ratio percolation for Cox point processes
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We study signaltointerference plus noise ratio (SINR) percolation for Cox point processes, i.e., Poisson point processes with a random intensity measure. SINR percolation was first studied by O. Dousse et al. in the case of a twodimensional Poisson point process. It is a version of continuum percolation where the connection between two points depends on the locations of all points of the point process. Continuum percolation for Cox point processes was recently studied by C. Hirsch, B. Jahnel and E. Cali. We study the SINR graph model for a stationary Cox point process in two or higher dimensions. We show that under suitable moment or boundedness conditions on the pathloss function and the intensity measure, this graph has an infinite connected component if the spatial density of points is large enough and the interferences are sufficiently reduced (without vanishing). This holds in all dimensions larger than 1 if the intensity measure is asymptotically essentially connected, and in two dimensions also if the intensity measure is only stabilizing but the connection radius is large. A prominent example of the intensity measure is the twodimensional PoissonVoronoi tessellation. We show that its total edge length in a given square has some exponential moments. We conclude that its SINR graph has an infinite cluster if the pathloss function is bounded and has a powerlaw decay of exponent at least 3.
Further Informations
Forschungsgruppenseminar Interacting Random System
Host
WIAS Berlin
 Tuesday, 06.11.2018, 15:15 (FU Berlin)
 Oberseminar Nonlinear Dynamics
Prof. em. Dr. Lutz SchimanskyGeier, HumboldtUniversity Berlin:
Celestial mechanics of fruit flies or a theory for mushroomers
more ... Location
Freie Universität Berlin, Arnimallee 3, 14195 Berlin, Hinterhaus, Raum 130
Abstract
The topic of global search in complex environments have been often investigated. But a search can also be local in the sense that it is centered at a given home position. In the latter case, the searcher does not only look for a new target but is also required to regularly return to the home position. Such behavior is typical for many insects and achieves technical importance for selfnavigating robotic systems. We propose a stochastic nonlinear model for local search which does not distinguish between the two aims. The dynamics bases on an unique pursuit and escape behavior of the heading from the position vector realizing thereby optimal exploration of space and the return to the home. We discuss the mechanics of the searcher and inspect the role of noise. Such randomness is present in the decision making rule of selecting the new heading direction. We consider Levy noises with different degree of discontinuity and report about steady spatial densities for the searchers. Also we report about an optimal noise intensity that a searcher finds a target at nearby places. For this noise value the required time for finding the target becomes minimal which appears to be the consequence of different relaxation processes in the spatial and the angular dynamics. Further extensions of the model are discussed during the lecture.
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 06.11.2018, 15:15 (FU Berlin)
 Oberseminar Nonlinear Dynamics
Ivan Ovsyannikov, University of Hamburg:
Birth of discrete Lorenz attractors in global bifurcations
more ... Location
Freie Universität Berlin, Arnimallee 3, 14195 Berlin, Hinterhaus, Raum 130
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 06.11.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Prof. Raul Tempone, RheinischWestfälische Technische Hochschule Aachen:
Multilevel and Multiindex Monte Carlo methods for the McKeanVlasov equation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In this talk, I will talk about our recent work where we address the approximation of functionals depending on a system of parti cles, described by stochastic differential equations (SDEs), in the meanf ield limit when the number of particles is infinite. This problem is equiv alent to estimating the weak solution of the limiting McKeanVlasov SDE. To that e nd, our approach uses systems with finite numbers of particles and a timeste pping scheme. In this setting, there are two discretization parameters: the number of time steps and the number of particles. Based on these two parameters, we consider different variants of the Monte Carlo, Multilevel Monte Carlo (MLMC) and MultiIndex Monte Carlo methods and show that, based on som e assumptions that are verified numerically, we are able to achi eve a near optimal work complexity in a typical setting.
Host
WIAS Berlin
 Tuesday, 06.11.2018, 14:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Prof. John Meddocks, École Polytechnique Fédérale de Lausanne, Switzerland:
Estimating structured precision matrices
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In my group's work on estimating parameter sets in coarsegrain (or multiscale) sequencedependent models of DNA we came across the following basic problem: For a given (positivedefinite) covariance matrix (in our case estimated in standard ways from Molecular dynamics simulation time series) what is the "best fit" precision, or inverse covariance, matrix under the contraint that the precision matrix must have a prescribed block banded sparsity pattern. I will describe various known, but apparently not well known, results in this and related directions, involving maximum entropy and relative entropy and likelihood principles.
Host
WIAS Berlin
 Thursday, 25.10.2018, 11:30 (WIAS406)
 Seminar Interacting Random Systems
Andrea Agazzi, Duke University, USA:
Large deviations and recurrence for chemical reaction networks
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
The microscopic dynamics of wellstirred networks of chemical reactions are modeled as jump Markov processes. At large volume, one may expect in this framework to have a straightforward application of large deviation theory. This is not at all true, for the jump rates are typically neither globally Lipschitz, nor bounded away from zero, with both blowup and absorption as quite possible scenarios. In joint work with Amir Dembo and JeanPierre Eckmann, we utilize Lyapunov stability theory to bypass this challenges and to characterize a large class of network topologies that satisfy the full WentzellFreidlin theory of asymptotic rates of exit from domains of attraction. The extension of such results to the estimation of transitions times between metastable states further requires the positive recurrence of such processes. This property depends critically on dynamics at of the jump Process when the concentration of some of the components are small. Precise statements on the connection between this property and the structure of the underlying network are an active area of research.
Further Informations
Seminar Interacting Random Systems
Host
WIAS Berlin
 Wednesday, 24.10.2018, 15:00 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Dan Tiba, Romanian Academy, Bucharest:
Implicit parametrizations and applications in optimization and control
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The talk will discuss necessary conditions (with less Lagrange multipliers), perturbations and general algorithms in nonconvex optimization problems. Optimal control problems with mixed constraints, governed by ordinary differential equations, will also be studied in this context. The treatment is based on a recent approach to implicit systems, constructing parametrizations of the corresponding manifold, via iterated Hamiltonian equations.
Host
WIAS Berlin
 Wednesday, 24.10.2018, 14:00 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Dr. Pierluigi Colli, Università di Pavia, Italien:
Shape memory alloys, phasefield models, CahnHilliard systems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The title collects some special keywords for research fields in the framework of phase transitions and free boundary problems describing an important research area receiving attention, interest, and a number of significant contributions from Jürgen Sprekels. This talk will offer the speaker the possibility of reviewing some models, problems, and results in the analysis and optimal control of the related systems of partial differential equations. And, more than that, it will be a pleasure for him to recall some thirty years enjoying math by his collaboration with J. Sprekels.
Host
WIAS Berlin
 Wednesday, 24.10.2018, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Dr. Evgeny Stepanov, Russian Academy of Sciences, Russische Föderation:
Hybrid control in a model from molecular biology: Between continuous and discrete
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The central argument of the talk will be the rather modern concept in automated control: Hybrid controls through finite state machines in continuous dynamical models. It will be shown that hybrid systems present a highly complicated dynamics. Then a class of largely open problems arizing from molecular biology will be presented and studied, where the hybrid system comes out from a extra ordinarily simple and completely classical models based on ODEs without any discrete object incorporated.
Further Informations
Forschungsseminar “Mathematische Statistik”
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 23.10.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Alexey Naumov, National Research University Higher School of Economics, Russische Föderation:
Gaussian approximations for maxima of large number of quadratic forms of highdimensional random vectors
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Host
WIAS Berlin
 Tuesday, 23.10.2018, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Dr. Dan Tiba, Romanian Academy, Bucharest:
Optimal control methods in shape optimization
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Wednesday, 17.10.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Artur Stephan, WIAS Berlin:
On reaction systems with different time scales
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 17.10.2018, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Mark Podolskij, Aarhus University, Denmark:
Statistical inference for fractional models
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In recent years, fractional and moving average type models have gained popularity in economics and finance. Most popular examples include fractional Brownian/stable motion, rough volatility models and Hawkes processes. In this talk we will review some existing estimation methods and present new theoretical results.
Host
WIAS Berlin
Universität Potsdam
HumboldtUniversität zu Berlin
 Tuesday, 16.10.2018, 15:15 (FU Berlin)
 Oberseminar Nonlinear Dynamics
Jan Sieber, University of Exeter, UK:
A nonsmooth saddlenode in a nonautonomous dynamical system
more ... Location
Freie Universität Berlin, Arnimallee 3, 14195 Berlin, Hinterhaus, Raum 130
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 16.10.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Alexander Gasnikov, WIAS Berlin:
Unified view on accelerated methods for structural convex optimization problems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 16.10.2018, 13:30 (WIAS406)
 Seminar Materialmodellierung
Dr. Arik Yochelis, BenGurion University of the Negev, Israel:
From solvent free to dilute electrolytes: A unified continuum approach
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 16.10.2018, 10:15 (WIAS406)
 Seminar Materialmodellierung
Dr. Charlotte Kuhn/Dr. Alexander Schlüter, Technische Universität Kaiserslautern:
Phase field modelling of fracture  From a mechanics point of view
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
Seminar Materialmodellierung
Host
WIAS Berlin
 October 8 – 10, 2018 (WIASESH)
 Workshop/Konferenz: AMaSiS 2018: Applied Mathematics and Simulation for Semiconductors
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
University of Massachusetts
 Tuesday, 25.09.2018, 15:00 (WIASHVP3.13)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Franz Besold, HumboldtUniversität zu Berlin:
Adaptive clustering using kernel density estimators
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 3. Etage, Raum: 3.13
Abstract
We investigate statistical properties of a clustering algorithm suggested by Ingo Steinwart, Bharath K. Sriperumbudur and Philipp Thomann that receives level set estimates from a kernel density estimator and then estimates the first split in the density level cluster tree if such a split is present or detects the absence of such a split. Key aspects of the analysis include finite sample guarantees, consistency, rates of convergence, and an adaptive datadriven strategy for choosing the kernel bandwidth. For the rates and the adaptivity we do not need continuity assumptions on the density such as Hölder continuity, but only require intuitive geometric assumptions of nonparametric nature.
Host
WIAS Berlin
 September 24 – 28, 2018 (WIASESH)
 Workshop/Konferenz: Analysis of Evolutionary and Complex Systems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
Universität Stuttgart
University of Warwick
 Tuesday, 18.09.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Prof. M. Thamban Nair, Indian Institute of Technology Madras, Indien:
An inverse problem in parabolic PDEs
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Host
WIAS Berlin
 Tuesday, 18.09.2018, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Prof. Alexander Kruger, Federation University Ballarat, Australia:
Extremal principle revisited
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Thursday, 13.09.2018, 15:00 (WIASESH)
 Seminar Numerische Mathematik
Dr. Mine Akbas, Duzce University, Türkei:
The analogue of graddiv stabilization in DG methods for incompressible flows: limiting behavior and extension to tensorproduct meshes
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Graddiv stabilization is a classical remedy in conforming mixed finite element methods for incompressible flow problems, for mitigating velocity errors that are sometimes called poor mass conservation. Such errors arise due to the relaxation of the divergence constraint in classical mixed methods and are excited whenever the spacial discretization has to deal with comparably large and complicated pressures. In this contribution, an analogue of graddiv stabilization for Discontinuous Galerkin methods is studied. Here, the key is the penalization of the jumps of the normal velocities over facets of the triangulation, which controls the measurevalued part of the distributional divergence of the discrete velocity solution. Our contribution is twofold: first, we characterize the limit for arbitrarily large penalization parameters, which shows that the stabilized nonconforming Discontinuous Galerkin methods remain robust and accurate in this limit; second, we extend these ideas to the case of nonsimplicial meshes; here, broken graddiv stabilization must be used in addition to the normal velocity jump penalization, in order to get the desired pressure robustness effect. Several numerical examples illustrate the theory and show their relevance for the simulation of practical, nontrivial flows.
Host
WIAS Berlin
 Thursday, 13.09.2018, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Vojtěch Miloš, Charles University Prague:
Thermodynamics and electrochemical impedance spectroscopy  1D model of YSZ electrolyte and triple phase boundary interface
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Electrochemical impedance spectroscopy (EIS) together with reliable models provides a powerful tool for analysing processes taking place in solid oxide cells (SOC). The presented model is derived within the framework of nonequilibrium thermodynamics [1, 2]. It is a suitable tool for description of the fundamental processes in charged mixtures [3, 4, 5], especially on interfaces, such as surface adsorption, bulk and surface diffusion, electrochemical reactions and formation of charged double layers. Special attention is dedicated to the thermodynamically consistent derivation of the boundary conditions and to handling of the electrical double layer. The contribution contains a derivation of 1D model for YSZ electrolyte and tripple boundary interface and also includes numerical solution of model partial differential equations. The implementation of finite element method (FEM) is done using open source library FEniCS. In order to explore the parametric space, EIS was simulated for a wide range of kinetic parameters of the model.
References:
1. De Groot, S. R., Mazur, P. Nonequilibrium thermodynamics., 1984.
2. Guhlke, Clemens. “Theorie der elektrochemischen Grenzfläche”, TU Berlin (2015).
3. Dreyer, W., Guhlke, C., Landstorfer, M. Electrochem. Commun. 43 (2014): 7578.
4. Dreyer, W., Clemens, Guhlke, C., Müller, R. Ph. Chem. Chem. Ph. 17.40 (2015): 2717627194.
5. Landstorfer, M., Guhlke, C., Dreyer, W. Electrochimica Acta 201 (2016): 187219.
Host
WIAS Berlin
 Tuesday, 11.09.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Franz Besold, HumboldtUniversität zu Berlin:
Adaptive clustering using kernel density estimators
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We investigate statistical properties of a clustering algorithm suggested by Ingo Steinwart, Bharath K. Sriperumbudur and Philipp Thomann that receives level set estimates from a kernel density estimator and then estimates the first split in the density level cluster tree if such a split is present or detects the absence of such a split. Key aspects of the analysis include finite sample guarantees, consistency, rates of convergence, and an adaptive datadriven strategy for choosing the kernel bandwidth. For the rates and the adaptivity we do not need continuity assumptions on the density such as Hölder continuity, but only require intuitive geometric assumptions of nonparametric nature.
Host
WIAS Berlin
 Monday, 03.09.2018, 14:00 (WIASESH)
 INSTITUTSKOLLOQUIUM
Prof. Dr. Bernd Witzigmann, University of Kassel, Germany:
Carrier Injection Efficiency and Impurity Modeling in IIInitride LEDs (joint work with H. Fülle and F. Römer)
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
IIInitride based multiple quantum well structures are the active region of choice for LEDs and lasers from the ultraviolet to the visible spectral regime. For maximum efficiency, the electron and hole carrier densities need to be distributed uniformly in the quantum wells at all relevant operating conditions. We analyze the carrier injection and distribution in polar and semipolar LEDs using a microscopic carrier transport model. It is based on driftdiffusion currents, and quantum wells are treated as scattering centers, with selfconsistent kpband structure calculation for the quantum well carriers. Tunneling currents at hetero interfaces are included via an effective potential model. Impurities such as Si, Mg and O are activated according to a Schottkytype model. Their distribution is found from experimental SIMS data. The activation mode includes both the impurity density as well as the local electric field (PooleFrenkel effect). Comparison to experimental data reveals the following findings: the hole injection efficiency depends critically on the proximity of the Mg dopants to the pside quantum well. At the same time, electron leakage is suppressed by ionized Mg atoms forming an electrostatic barrier, which is reduced with rising current due to saturation of the acceptor levels. Impurities that form shallow donors (e.g. oxygen) also hamper the hole injection efficiency as they reduce the Mg ionization rate. In UV LEDs, special care has to be taken for electron injection into the deep quantum wells. Therefore a high performance LED requires nanoscale control of intentional and unintentional impurity distribution. Finally, it is shown that the ideality factor of the pindiode contains information on the injection homogeneity of the LED.
Host
WIAS Berlin
 Thursday, 23.08.2018, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Markus Kantner, WIAS Berlin:
Hybrid quantumclassical modeling of quantum dot based singlephoton sources
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Thursday, 26.07.2018, 15:00 (WIAS406)
 FG Stochastische Systeme mit Wechselwirkung
Prof. Alexander Drewitz, Universität zu Köln:
Phase transitions in some percolation models with longrange correlations on general graphs
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We consider two fundamental percolation models with longrange correlations on reasonably general and wellbehaved transient graphs: The Gaussian free field and (the vacant set) of Random Interlacements. Both models have been the subject of intensive research during the last years and decades, on $Z^d$ as well as on some more general graphs. We consider their percolation phase transition and investigate a couple of interesting properties of their critical parameters, in particular the existence of a phase transition. This talk is based on joint works with A. Prevost (Koeln) and P.F. Rodriguez (Los Angeles).
Further Informations
FG 5 Seminar
Host
WIAS Berlin
 Wednesday, 18.07.2018, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Dr. Jan van Waaij, Humboldt Universität zu Berlin:
Adaptive nonparametric Bayesian methods for SDEs
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We consider continuous time observations (Xt_0le tle T of the SDE dXt = Theta(Xt)dt + dWt: Our goal is estimating the unknown drift function Theta. Due to their numerical advantages, Bayesian methods are often used for this. In this talk I discuss optimal rates of convergence for these methods. I will start with an introduction to Bayesian methods for SDEs and what sufficient con ditions are for posterior convergence. I show that the sufficient conditions are satisfied for the Gaussian process prior, which leads to optimal convergence rates, provided the smoothness of Theta matches the smootness of the Gaussian process. Adaptivity can be obtained by equipping the hyperparameter(s) of the Gaussian process prior with an additional prior. We discuss several choices for such hyperparameters. A new promising approach to obtain adaptivity is empirical Bayes. Here the optimal hyperparameters for the Gaussian process prior are first esti mated from the data and then the prior with those hyperparameters plugged in is used for the inference. This talk is based on van Waaij, 2018 and joint work with Frank van der Meulen (TU Delft), Moritz Schauer (Leiden University) and Harry van Zanten (University of Amsterdam).
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Thursday, 12.07.2018, 10:00 (WIASESH)
 Seminar Laserdynamik
Prof. Dmitry Turaev, Imperial College London, GB:
On positive metric entropy conjecture
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Wednesday, 11.07.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Martin Heida, WIAS Berlin:
Dynamic and hysteretic boundary conditions for the MullinsSekerka equation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 11.07.2018, 11:00 (WIASESH)
 Seminar Numerische Mathematik
Dr. Ernesto Meneses Rioseco, LeibnizInstitut für Angewandte Geophysik, Hannover:
Modeling, simulation and optimization of geothermal reservoir  THMC (thermohydraulical, mechanical, chemical) processes involved
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Geothermal energy constitutes an important renewable energy that can significantly contribute to the energy transition in Germany. The optimization of the geothermal energy extraction in the underground is a multivariable and multiscale optimization problem that has not been extensively addressed in the scientific community. Understanding and minimizing the risks, in particular induced seismicity, that the exploitation of deep geothermal energy may pose is of major public and scientific concern.
Robust mathematical models and numerical methods are required to capture the complex interplay of thermal, hydraulic, mechanical and chemical (THMC) processes in heterogeneous and anisotropic medium domains. In addition, the distribution and implementation of material properties in topologically complex 3D modeling domains is an ongoing effort. Considerable effort is required to realistically implement the complex architecture that results from highly heterogeneous and anisotropic geologic media.
This work presents a general overview of the mathematical formulations of the transport phenomena of mass, energy and momentum in porous and fractured geothermal reservoirs and emphasizes the current challenges faced for the simulation of the main risks (e.g. induced seismicity) that result from the complex interaction of THMC processes during the operation of geothermal plants and the need of complex optimization methods.
This presentation aims at encouraging the collaboration between the Leibniz Institute of Applied Geophysics (LIAG) and the Weierstrass Institute for Applied Analysis and Stochastics (WIAS) within the framework of the Leibniz MMS network.
Host
WIAS Berlin
 Monday, 09.07.2018, 14:00 (WIASESH)
 Oberseminar Nonlinear Dynamics
Nils Berglund, Iniversite d'Orleans, Universite de Tours, CNRS, Frankreich:
Metastable dynamics of AllenCahn SPDEs on the torus
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Stochastic processes subject to weak noise often show a metastable behaviour, meaning that they converge to equilibrium extremely slowly; typically, the convergence time is exponentially large in the inverse of the variance of the noise (Arrhenius law). In the case of finitedimensional Ito stochastic differential equations, the largedeviation theory developed in the 1970s by Freidlin and Wentzell allows to prove such Arrhenius laws and compute their exponent. Sharper asymptotics for relaxation times, including the prefactor of the exponential term (EyringKramers laws) are known, for instance, if the stochastic differential equation involves a gradient drift term and homogeneous noise. One approach that has been very successful in proving EyringKramers laws, developed by Bovier, Eckhoff, Gayrard and Klein around 2005, relies on potential theory. I will describe EyringKramers laws for some parabolic stochastic PDEs such as the AllenCahn equation on the torus. In dimension 1, an Arrhenius law was obtained in the 1980s by Faris and JonaLasinio, using a largedeviation principle. The potentialtheoretic approach allows us to compute the prefactor, which turns out to involve a Fredholm determinant. In dimensions 2 and 3, the equation needs to be renormalized, which turns the Fredholm determinant into a CarlemanFredholm determinant. Based on joint work with Barbara Gentz (Bielefeld), and with Giacomo Di Gesù (Vienna) and Hendrik Weber (Warwick).
Host
Freie Universität Berlin
WIAS Berlin
 Thursday, 05.07.2018, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Nina Owschimikow, TU Berlin:
Carrier dynamics in InAs submonolayer quantum dots
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Wednesday, 04.07.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Jan Mankau, Technische Universität Dresden:
A descent step algorithm based on generalized gradients on sets
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
here
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Tuesday, 03.07.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Paolo Pigato, WIAS Berlin:
Asymptotic analysis of rough volatility models
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Friday, 29.06.2018, 14:30 (WIASESH)
 Halbleiterseminar
Dr. Miguel Caro, Aalto University, Finnland:
Growth of amorphous carbon simulated with a machinelearning based interatomic potential
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
WIASHalbleiterseminar
Host
WIAS Berlin
 Friday, 29.06.2018, 14:00 (WIASESH)
 Halbleiterseminar
Prof. Dr. Morten Willatzen, Technical University of Denmark, Dänemark:
Strain and symmetry effects in Bi_{2}Se_{3} thin films using the k·p method
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
WIASHalbleiterseminar
Host
WIAS Berlin
 Wednesday, 27.06.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Dr. Leonid Berlyand, Pennsylvania State University, USA:
Free boundary PDE models of active gels
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
here
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 27.06.2018, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Stanislav Nagy, Charles University, Prague:
Statistical depth for functional data
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The concept of data depth is an attempt to generalize quantiles to complex data (random vectors, random functions, or distributions on manifolds and graphs). The main idea is, for a general space S, to assign to any points from S its depth D(s; P) with respect to a probability distribution P on S. The depth D(s; P) says how "centrally located" s is with respect to P. The point maximizing D(:; P) over the sample space is a generalized median; loci of points with high depth constitute inner depthquantile regions of P. We study depth designed for functional data, and its general framework. We show that most known functional depths can be classied into few groups, within which they share similar theoretical properties. We focus on uniform sample consistency results, and demonstrate that some wellknown approaches to depth assessment are hardly theoretically adequate.
Host
Universität Potsdam
HumboldtUniversität zu Berlin
WIAS Berlin
 Tuesday, 26.06.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Alexandra Suvorikova, WIAS Berlin:
CLT in 2Wasserstein space
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 26.06.2018, 13:30 (WIASESH)
 Seminar Numerische Mathematik
Prof. Traian Iliescu, Virginia Tech, USA:
Physicallyconstrained datadriven correction for reduced order modeling of fluid flows
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We propose a datadriven correction reduced order model (DDCROM) framework for the numerical simulation of fluid flows, which can be formally written as DDCROM = GalerkinROM + Correction. The new DDCROM is constructed by using ROM spatial filtering and datadriven ROM closure modeling (for the Correction term). Furthermore, we propose a physicallyconstrained DDCROM (CDDCROM), which aims at improving the physical accuracy of the DDCROM. The new physical constraints require that the CDDCROM operators satisfy the same type of physical laws (i.e., the Correction term's linear component should be dissipative and the Correction term's nonlinear component should conserve energy) as those satisfied by the fluid flow equations. To implement these physical constraints, in the datadriven modeling step, we replace the unconstrained least squares problem with a constrained least squares problem. We perform a numerical investigation of the new CDDCROM and standard DDCROM for a 2D channel flow past a circular cylinder at Reynolds numbers Re=100, Re=500, and Re=1000. To this end, we consider a reproductive regime as well as a predictive (i.e., crossvalidation) regime in which we use as little as 50 % of the original training data. The numerical investigation clearly shows that the new CDDCROM is significantly more accurate than the DDCROM in both regimes.
Host
WIAS Berlin
 June 25 – 27, 2018 (TUH2036)
 Workshop/Konferenz: Interplay of Random Media and Stochastic Interface Models (RMSI2018)
more ... Location
Technische Universität, Straße des 17. Juni 135, 10623 Berlin, Main building, Room H 2036
Host
Technische Universität Berlin
 Wednesday, 20.06.2018, 14:30 (WIASESH)
 INSTITUTSKOLLOQUIUM
Prof. Dr. Michael C. Ferris, Computer Sciences Department and Wisconsin Institute for Discovery, University of WisconsinMadison, USA:
Modelling 100 percent renewable electricity
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In the past few decades, power grids across the world have become dependent on markets that aim to efficiently match supply with demand at all times via a variety of pricing and auction mechanisms. These markets are based on models that capture interactions between producers, transmission and consumers. Energy producers typically maximize profits by optimally allocating and scheduling resources over time. A dynamic equilibrium aims to determine prices and dispatches that can be transmitted over the electricity grid to satisfy evolving consumer requirements for energy at different locations and times. Computation allows large scale practical implementations of socially optimal models to be solved as part of the market operation, and regulations can be imposed that aim to ensure competitive behaviour of market participants. The recent explosion in the use of renewable supply such as wind, solar and hydro has led to increased volatility in this system. We develop models that aim to ensure enough generation capacity for the long term under various constraints related to environmental concerns, and consider the recovery of costs for this enhanced infrastructure. We demonstrate how risk can impose significant costs on the system that are not modeled in the context of socially optimal power system markets and highlight the use of contracts to reduce or recover these costs. We also outline how battery storage can be used as an effective hedging instrument.
Host
WIAS Berlin
 Wednesday, 20.06.2018, 10:00 (WIAS406)
 Forschungsseminar Mathematische Statistik
Prof. Zuoqiang Shi, Tsinghua University, Beijing, China:
PDEbased methods for Interpolation on High Dimensional Point Cloud
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Interpolation on high dimensional point cloud provides a fundamental model in many data analysis and machine learning problems. In this talk, we will present some PDE based methods to do interpolation on point cloud. Applications in image processing and data analysis are shown to demonstrate the performance of our methods.
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Tuesday, 19.06.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Prof. Zuoqiang Shi, Tsinghua University, Beijing, China:
Low dimensional manifold model for image processing
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In this talk, I will introduce a novel low dimensional manifold model for image processing problem. This model is based on the observation that for many natural images, the patch manifold usually has low dimension structure. Then, we use the dimension of the patch manifold as a regularization to recover the original image. Using some formula in differential geometry, this problem is reduced to solve LaplaceBeltrami equation on manifold. The LaplaceBeltrami equation is solved by the point integral method. Numerical tests show that this method gives very good results in image inpainting, denoising and superresolution problem. This is joint work with Stanley Osher and Wei Zhu.
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Tuesday, 19.06.2018, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Prof. Dr. Guanghui Hu, Beijing Computational Science Research Center, China:
Outgoing radiation conditions for the Helmholtz equation in inhomogeneous periodic media
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Monday, 18.06.2018, 15:00 (WIAS406)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Dr. Johannes Pfefferer, TU München:
hpfinite elements for fractional diffusion
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In this talk we introduce and analyze a numerical scheme based on hpfinite elements to solve boundary value problems involving the spectral fractional Laplacian. The approach is based on a reformulation of the problem posed on a semiinfinite cylinder in one more spatial dimension. After a suitable truncation of this cylinder, the resulting problem is discretized with linear finite elements in the original domain and with hpfinite elements in the extended direction. The proposed approach yields a reduction of the computational complexity in terms of degrees of freedom and even has slightly improved convergence properties compared to the stateoftheart discretization using linear finite elements for both the original domain and the extended direction. The performance of the method is illustrated by numerical experiments.
Further Informations
Joint Research Seminar on Mathematical Optimization / Nonsmooth Variational Problems and Operator Equations
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 June 18 – 20, 2018 (WIASESH)
 Workshop/Konferenz: Nonlinear Dynamics in Semiconductor Lasers
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Thursday, 14.06.2018, 15:00 (WIAS405406)
 Seminar Numerische Mathematik
Prof. Liyong Shen, University of the Chinese Academy of Sciences, Beijing:
Implicitizing rational tensor product surfaces using the resultant of three moving planes
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstract
Implicitizing rational surfaces is a fundamental computational task in Computer Graphics and Computer Aided Design. Ray tracing, collision detection, and solid modeling all benefit from implicitization procedures for rational surfaces. Recently a popular method is based on analysis of moving planes (syzygies): construct the implicit matrix using moving planes or compute the resultant of μbasis. The moving planes method relies on the construction of appropriate moving planes. The μbases for rational surfaces are difficult to compute. Moreover, μbases for a rational surface often have high degrees, so these resultants generally contain many extraneous factors.
Here we develop fast algorithms to implicitize rational tensor product surfaces by computing the resultant of three moving planes corresponding to three syzygies with low degrees. These syzygies are easy to compute, and the resultants of the corresponding moving planes generally contain fewer extraneous factors than the resultants of the moving planes corresponding to μbases. We predict and compute all the possible extraneous factors that may appear in these resultants.
Host
WIAS Berlin
 Thursday, 14.06.2018, 14:00 (WIAS405406)
 Seminar Numerische Mathematik
Dr. Myfanwy Evans, TU Berlin:
Surfaces and tangling
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstract
In biological systems, hyperbolic surfaces are readily identifiable as critical to function. This talk will introduce a few interesting systems that motivate thinking in this direction, followed by a more formal mathematical process that aims to probe the realm of complicated threedimensional structure, in particular highly tangled materials.
Host
WIAS Berlin
 June 14 – 16, 2018 (WIASESH)
 Workshop/Konferenz: 9th Annual ERC BerlinOxford Young Researchers Meeting on Applied Stochastic Analysis
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
Technische Universität Berlin
University of Oxford
 Wednesday, 13.06.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Markus Mittnenzweig, WIAS Berlin:
Hydrodynamic limit and large deviations for reactiondiffusion master equations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 13.06.2018, 13:00 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Dr. Kathrin Welker, Universität Trier:
Constrained shape optimization problems in shape spaces
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Shape optimization problems arise frequently in technological processes which are modelled in the form of partial differential equations (PDEs) or variational inequalities (VIs). In many practical circumstances, the shape under investigation is parametrized by finitely many parameters, which on the one hand allows the application of standard optimization approaches, but on the other hand limits the space of reachable shapes unnecessarily. In this talk, the theory of shape optimization is connected to the differentialgeometric structure of shape spaces. In particular, efficient algorithms in terms of shape spaces and the resulting framework from infinite dimensional Riemannian geometry are presented. In this context, the space of H^1/2shapes is defined. The H^1/2shapes are a generalization of smooth shapes and arise naturally in shape optimization problems. Moreover, VI constrained shape optimization problems are treated from an analytical and numerical point of view in order to formulate approaches aiming at semismooth Newton methods on shape vector bundles. Shape optimization problems constrained by VIs are very challenging because of the necessity to operate in inherently nonlinear and nonconvex shape spaces. In classical VIs, there is no explicit dependence on the domain, which adds an unavoidable source of nonlinearity and nonconvexity due to the nonlinear and nonconvex nature of shape spaces.
Further Informations
Joint Research Seminar on Mathematical Optimization / Nonsmooth Variational Problems and Operator Equations
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 13.06.2018, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Alain Celisse, Universite des Sciences et Technologies de Lille, France:
Early stopping rule and discrepancy principle in reproducing kernel Hilbert spaces
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The main focus of this work is on the nonparametric estimation of a regression function by means of reproducing kernels and several iterative learning algorithms such as gradient descent, spectral cutoff, Tikhonov regularization,... First, we exploit the general framework of filter estimators to provide a unified analysis of these different algorithms. With the Tikhonov regularization, we will discuss the in uence of the parametrization on the interaction between the condition number of the Gram matrix and the number of iterations. More generally, we also discuss existing links between the qualification assumption and the used filter estimators. Second, we introduce an early stopping rule derived from the socalled discrepancy principle. Its behavior is compared with that one of other existing stopping rules and analyzed through the understanding of the dependence of the empirical risk with respect to in uential parameters (Gram matrix eigenvalues, cumulative step size, initialization). An oracletype inequality is derived to quantify the finitesample performance of the proposed stopping rule. The practical performance of the procedure is also empirically assessed from several simulation experiments.
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Tuesday, 12.06.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Pavel Dvurechensky, WIAS Berlin:
Distributed calculation of Wasserstein barycenters
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We study the semidiscrete optimal transport problem of decentralized distributed computation of a discrete approximation for regularized Wasserstein barycenter of a finite set of continuous probability measures distributedly stored over a network. Particularly, we assume that there is a network of agents/machines/computers where each agent holds a private continuous probability measure, and seek to compute the barycenter of all the measures in the network by getting samples from its local measure and exchanging information with its neighbors. Motivated by this problem, we develop a novel accelerated primaldual stochastic gradient descent method for general stochastic convex optimization problems with linear equality constraints, and modify it for decentralized distributed optimization setting to generate a new algorithm for the distributed semidiscrete regularized Wasserstein barycenter problem. The proposed algorithm can be executed over arbitrary networks that are undirected, connected and static, using the local information only. Moreover, we show explicit nonasymptotic convergence rates in terms of the problem parameters. Finally, we show the effectiveness of our method on the distributed computation of the regularized Wasserstein barycenter of univariate Gaussian and von Mises distributions; as well as some applications to image aggregation.
Host
WIAS Berlin
 Tuesday, 12.06.2018, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Dr. Michael Peters, Eidgenössische Technische Hochschule Zürich, Schweiz:
Uncertainty quantification for elliptic PDEs
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Monday, 11.06.2018, 16:00 (WIAS406)
 Seminar Laserdynamik
Iva Bačić, University of Belgrade:
Stochastic dynamics in systems of adaptively coupled active rotators
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Monday, 11.06.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Dr. Dorothee Knees, Universität Kassel:
Rateindependent processes with timediscontinuous data
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Rateindependent processes typically exhibit nonsmooth behavior even if the given data are smooth in time. If the underlying energy functional is nonconvex, then discontinuous solutions appear. Meanwhile, there is a wide variety of solution concepts dealing with such discontinuities. However, in these investigations it is typically assumed that the given data (applied loads in the mechanical context) are in some sense differentiable with respect to time. But this excludes processes, where for instance the loads are switched on or off instantaneously. The aim of this lecture is to discuss for a prototypical rateindependent model with a nonconvex energy functional a solution concept that allows for discontinuous data. The idea is to start from a vanishing viscosity procedure and to identify as precisely as possible the limit process. If time permits the results are put into relation with the results from [1], where the convex case is treated in the framework of Kurzweilintegrals.
The lecture relies on joint work with Chiara Zanini (Politecnico di Torino) and discussions with Pavel Krejci.
[1] P. Krejci, M. Liero, Rate independent Kurzweil processes, Appl. Math., Praha, 54(2):117145,2009.
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 06.06.2018, 16:00 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Seungchan Ko, Oxford University, GB:
Analysis and approximation of incompressible chemically reacting nonNewtonian fluids
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
here
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 06.06.2018, 10:00 (WIASHVP3.13)
 Forschungsseminar Mathematische Statistik
Igor Cialenco, Illinois Institute of Technology:
Parameter estimation problems for parabolic SPDEs
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 3. Etage, Raum: 3.13
Abstract
In the rst part of the talk we will discuss the parameter estimation problem using Bayesian approach for the drift coecient of some linear (parabolic) SPDEs driven by a multiplicative noise of special structure. We assume that one path of the rst N Fourier modes of the solution are continuously observed over a nite time interval, and we derive Bayesian type estimators for the drift coefficient. As custom for Bayesian statistics, we prove a BernsteinVon Mises theorem for the posterior density, and consequently, we derive some asymptotic properties of the proposed estimators, as N goes to innity. In the second part of the talk we will study parameter estimation problems for discretely sampled SPDEs. We will discuss some general results on derivation of consistent and asymptotically normal estimators based on computation of the pvariations of stochastic processes and their smooth perturbations, that consequently are conveniently applied to SPDEs. Both the drift and the volatility cofficients are estimated using two sampling schemes  observing the solution at a xed time and on a discrete spatial grid, and at a xed space point and at discrete time instances of a nite interval. The theoretical results will be illustrated via numerical examples.
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Tuesday, 05.06.2018, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
Prof. Dr. Jens Starke, Universität Rostock:
Multiscale analysis of collective behaviour in particle systems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 05.06.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Priv.Doz. Dr. Peter Mathé, WIAS Berlin:
Nyström subsampling for regression functions of low smoothness
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 05.06.2018, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Daniel Walter, Technische Universität München:
Sparse sensor placement for inverse problems: From finite to infinite dimensional parameters
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Wednesday, 30.05.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. José Francisco Rodrigues, University of Lisbon, Portugal:
Evolutionary quasivariational and variational inequalities with constraints on the derivatives
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this talk I shall present a general framework for the study of the existence of quasivariational and variational solutions to a class of nonlinear evolution systems in convex sets of Banach spaces describing constraints on a linear combination of partial derivatives of the solutions, which is a joint work with Lisa Santos and Fernando Miranda. The quasilinear operators are of monotone type, but are not required to be coercive for the existence of weak solutions, which is obtained by a double penalisation/regularisation for the approximation of the solutions. In the case of timedependent convex sets that are independent of the solution, we show also the uniqueness and the continuous dependence of the strong solutions of the variational inequalities, extending previous results to a more general framework and including several models that will be surveyed.
Further Informations
Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 30.05.2018, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Florian Schäfer, California Institute of Technology, USA:
Compression, inversion, and approximate PCA of dense kernel matrices at nearlinear computational complexity
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Many popular methods in machine learning, statistics, and uncertainty quantification rely on priors given by smooth Gaussian processes, like those obtained from the Matern covariance functions. Furthermore, many physical systems are described in terms of elliptic partial differential equations. Therefore, implicitely or explicitely, numerical simulation of these systems requires an ecient numerical representation of the corresponding Green's operator. The resulting kernel matrices are typically dense, leading to (often prohibitive) O (N^2) or O(N^3) computational complexity. In this work, we prove rigorously that the dense N x N kernel matrices obtained from elliptic boundary value problems and measurement points distributed approximately uniformly in a ddimensional domain can be Cholesky factorised to accuracy in computational complexity O(N log^2(N) log^2d(N/e)) in time and O (N log(N) log d(N/e)) in space. For the closely related Matern covariances we observe very good results in practise, even for parameters corresponding to noninteger order equations. As a byproduct, we obtain a sparse PCA with nearoptimal lowrank approximation property and a fast solver for elliptic PDE. We emphasise that our algorithm requires no analytic expression for the covariance function. Our work is inspired by the probabilistic interpretation of the Cholesky factorisation, the screening effect in spatial statistics, and recent results in numerical homogenisation.
Further Informations
Forschungsseminar “Mathematische Statistik”
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 29.05.2018, 15:15 (FU Berlin)
 Oberseminar Nonlinear Dynamics
Murad Banaji, Middlesex University London, England:
Inheritance of behaviours in bio/chemical networks
more ... Location
Freie Universität Berlin, Arnimallee 3, 14195 Berlin, Hinterhaus, Raum 130
Abstract
Consider the following imprecise questions about dynamical systems with some network structure: If a small network is embedded in a larger one, then must the larger one "inherit" some behaviours of the smaller one? Can the presence of certain "motifs" be sensibly used to make predictions about dynamical behaviours of a network? Once such questions are phrased precisely, the answers turn out to depend on the class of networks studied, the dynamical behaviour of interest and, crucially, the chosen notion of ßubnetwork". My talk will focus on some recent results on chemical reaction networks (CRNs), where the behaviours in question are multistationarity and oscillation. Network modifications such as adding or deleting reactions, adding or deleting species from reactions, and inserting intermediates into a reaction are considered for their effects on multistationarity and oscillation. For example, it can be shown that both behaviours are inherited in the induced subnetwork partial ordering on fully open CRNs, but the same does not hold for general CRNs. Under certain mild assumptions, growing a CRN by inserting intermediates into reactions preserves the capacity for multistationarity in a CRN. The theorems are proved using essentially local techniques  the implicit function theorem and regular and singular perturbation theory  and hold for various kinetics including (but not exclusively) mass action kinetics. The results on multisationarity are joint with Casian Pantea.
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 29.05.2018, 13:30 (WIASESH)
 Seminar Numerische Mathematik
Prof. Grigory Panasenko, University of Lyon, Frankreich & University of Chile:
Asymptotic analysis of wave propagation in a laminated beam with contrasting stiffness of the layers
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The wave equation in a thin laminated beam is considered in the case when the ratio of the thickness and the length is a small parameter e, while the ratio of the stiffness coefficients of the layers is a great parameter w. The question of an approximation of such a beam by the one dimensional models is discussed. It is shown that the classical homogenized approximation is valid for the case of sufficiently small value of the product of e square by w. If this product is not small then the classical model should be replaced by a multicomponent homogenization model analogous to [1, 2]. The waves in such multicomponent beam model can have multiple wave velocities. This result generalizes [3] Section 2.6.
[1] Panasenko, G.P. “Averaging of processes in strongly in homogeneous media”, Doklady Akademii Nauk SSSR, 1988, 298, 1, 7679 (in Russian). English transl. in Soviet Phys. Dokl., 1988, 33.
[2] Panasenko, G.P. “Multicomponent homogenization of processes in strongly nonhomogeneous structures” Mathematics USSRSbornik, 1990, 181, 1, 134142 (in Russian); English transl. in Math. USSR Sbornik, 1991, 69, 1, 143153.
[3] Panasenko, G.P. “MultiScale Modelling for Structures and Composites”, Springer, Dordrecht, 2005, 398 pp.
Host
WIAS Berlin
 Monday, 28.05.2018, 14:00 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Dr. Francisco José Romero Hinrichsen, ETH Zurich, Schweiz:
Dynamical superresolution with applications to ultrafast ultrasound
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Recently there has been a successful development in ultrasound imaging, increasing significantly the sampling rate and therefore enhancing this imaging's capacities. In particular, for vessel imaging, the use of microbubble tracking allows us to superresolve blood vessels, and by estimating the particles' speeds inside them, it is possible to calculate the vessels' diameters. In this context, we model the microbubble tracking problem, formulating it in terms of a sparse spike recovery problem in the phase space (the position and velocity space), that allows us to obtain simultaneously the speed of the microbubbles and their location. This leads to an L1 minimization algorithm for point source tracking, that promises to be faster than current alternatives.
Further Informations
Joint Research Seminar on Mathematical Optimization / Nonsmooth Variational Problems and Operator Equations
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 23.05.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Dr. Pierluigi Colli, Università di Pavia, Italien:
A CahnHilliard system with convection and dynamic boundary conditions: Wellposedness and optimal velocity control
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 23.05.2018, 13:00 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Dr. Amal Alphonse, WIAS:
Directional differentiability for elliptic QVIs of obstacle type
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Quasivariational inequalities (QVIs) are generalisations of variational inequalities where the associated constraint set is no longer explicitly given but it depends on the solution itself. In this talk, we present some work on the directional differentiability of the multivalued mapping that takes the source term of a QVI onto the set of solutions. This result represents a first step in the study of differential sensitivity of QVIs in infinite dimensions. We also discuss an application to thermoforming and show some numerical experiments.
Further Informations
Joint Research Seminar on Mathematical Optimization / Nonsmooth Variational Problems and Operator Equations
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 23.05.2018, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Markus Reiß/Randolf Altmeyer, HumboldtUniversität zu Berlin:
A nonparametric estimation problem for linear SPDEs
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
(Please find here)
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 22.05.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Tobias Kley, HumboldtUniversität zu Berlin:
Sequential detection of structural changes in irregularly observed data
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Online surveillance of time series is traditionally done with the aim to identify changes in the marginal distribution under the assumption that the data between changepoints is stationary and that new data is observed at constant frequency. In many situations of interest to data analysts, the classical approach is too restrictive to be used unmodified. We propose a unified system for the monitoring of structural changes in streams of data where we use generalised likelihood ratiotype statistics in the sequential testing problem, obtaining the flexibility to account for the various types of changes that are practically relevant (such as, for example, changes in the trend of the mean). The method is applicable to sequences where new observations are allowed to arrive irregularly. Early identification of changes in the trend of financial data can assist to make trading more profitably. In an empirical illustration we apply the procedure to intraday prices of components of the NASDAQ100 stock market index. This project is joint work with Piotr Fryzlewicz.
Host
WIAS Berlin
 Tuesday, 22.05.2018, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Prof. Dr. Masahiro Yamamoto, University of Tokyo, Japan:
Inverse problems of determining moving sources in diffusion equations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Thursday, 17.05.2018, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Prof. Ulf Leonhardt, Weizmann Institute of Science, Israel:
Light at the horizon
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Thursday, 17.05.2018, 15:00 (WIAS406)
 FG Stochastische Systeme mit Wechselwirkung
Prof. Dr. Nicolas Petrelis, Université de Nantes, Frankreich:
Scaling limit of the Interacting partially directed selfavoiding walk at criticality
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
Seminar FG 5
Host
WIAS Berlin
 Thursday, 17.05.2018, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Caroline Geiersbach, Universität Wien, Österreich:
A projected stochastic gradient algorithm for optimization with random elliptic PDE constraints
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Wednesday, 16.05.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Alexander Mielke, WIAS Berlin:
Finding limiting dissipative potentials via EDP convergence
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
A gradient structure for an evolutionary system is a triple, a socalled gradient system, consisting of a state space, a possibly timedependent energy functional, and a dissipation potential that induces the given evolutionary system. The gradient structure, which is not unique, contains additional thermodynamical information, e.g. on the fluctuations in an associated microscopic model. Considering a family of gradient systems depending on a small parameter, it is natural to ask for the limiting or effective gradient system if the parameter tends to 0. We propose some ideas towards the derivation of the effective gradient structure that are based on De Giorgi's EnergyDissipation Principle (EDP). We discuss several versions of EDP convergence and show by examples that the theory is flexible enough to allow situations where starting from quadratic dissipation potentials we arrive at effective dissipation potentials that are no longer quadratic.
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 16.05.2018, 13:00 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Ass.Prof. Dr. Lothar Banz, Universität Salzburg, Österreich:
A posteriori error estimates for $hp$dual mixed finite elements by implicit reconstruction
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
A posteriori error estimates are derived for dual mixed methods of $hp$adaptive finite elements for variational equations as well as for variational inequalities. The error control relies on the use of a special, but never computed, $H^1$reconstruction of the nonsmooth discrete potential. Thus, no postprocessing reconstruction (and therewith no additional computation) is needed. Moreover, the use of the discrete potential instead of its reconstruction improves significantly the error estimation in terms of the numerical efficiency indices which are nearly constant and close to one in the numerical experiments. Numerical experiments demonstrate the convergence rates and the efficiency indices of these a posteriori error estimates in $h$ and $hp$adaptivity.
Further Informations
Joint Research Seminar on Mathematical Optimization / Nonsmooth Variational Problems and Operator Equations
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 16.05.2018, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Moritz Jirak, TU Braunschweig; Martin Wahl, HumboldtUniversität zu Berlin:
Relative perturbation bounds with applications to empirical covariance operators
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
A problem of fundamental importance in quantitative science is to estimate how a perturbation of a covariance operator effects the corresponding eigenvalues and eigenvectors. Due to its importance, this problem has been heavily investigated and discussed in the literature. In this talk, we present general perturbation expansions for a class of symmetric, compact operators. Applied to empirical covariance operators, these expansions allow us to describe how perturbations carry over to eigenvalues and vectors in terms of necessary and sucient conditions, characterising the perturbation transition. We demonstrate the usefulness of these expansions by discussing pca and fpca in various setups, including more exotic cases where the data is assumed to have high persistence in the dependence structure or exhibits (very) heavy tails. This talk is jointly given by Moritz Jirak and Martin Wahl, and divided into two parts
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 15.05.2018, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
Dr. Alexander Linke, WIAS Berlin:
On the role of the HelmholtzLeray projector for a novel pressurerobust discretization theory for the incompressible NavierStokes equations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The talk discusses several physical regimes of the incompressible NavierStokes equations with respect to the role of the pressure and the role of the HelmholtzLeray projector in the NavierStokes momentum balance. It is emphasized that not the forces in the momentum balance themselves matter for the complexity of the flow field, but their HelmholtzLeray projector. Since the HelmholtzLeray projector vanishes for arbitrary gradient fields, a semi norm and a corresponding equivalence class of forces play naturally a major role for the evolution of incompressible flows. Novel pressurerobust mixed finite element methods are designed for an appropriate discrete treatment of this equivalence class of forces. On the contrary, classical, (only) infsup stable mixed methods do not care about the existence of such an equivalence class. In order to deliver accurate simulation results, they have to resort to expensive high order ansatz spaces. Finally, the talk will indicate suitable applications for efficient and accurate loworder pressurerobust mixed methods like flows with electrolytes and flows with stagnation points, and it will discuss possible extensions to compressible lowMach number flows.
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 15.05.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Michele Coghi, WIAS Berlin:
Interacting particle systems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Wednesday, 09.05.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Ansgar Jüngel, Technische Universität Wien, Österreich:
Crossdiffusion systems with entropy structure
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
here
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 09.05.2018, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Gitta Kutyniok, Technische Universität Berlin:
Optimal approximation with sparsely connected deep neural networks
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Despite the outstanding success of deep neural networks in realworld applications, most of the related research is empirically driven and a mathematical foundation is almost completely missing. One central task of a neural network is to approximate a function, which for instance encodes a classication task. In this talk, we will be concerned with the question, how well a function can be approximated by a neural network with sparse connectivity. Using methods from approximation theory and applied harmonic analysis, we will derive a fundamental lower bound on the sparsity of a neural network. By explicitly constructing neural networks based on certain representation systems, socalled shearlets, we will then demonstrate that this lower bound can in fact be attained. Finally, we present numerical experiments, which surprisingly show that already the standard backpropagation algorithm generates deep neural networks obeying those optimal approximation rates. This is joint work with H. B?olcskei (ETH Zurich), P. Grohs (Uni Vienna), and P. Petersen (TU Berlin).
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 08.05.2018, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
Prof. Marc Timme, Technische Universität Dresden:
Network dynamics as an inverse problem
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
Freie Universität Berlin
 Tuesday, 08.05.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Valeriy Avanesov, WIAS Berlin:
SDE's, Gaussian processes, clusters, etc.
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 08.05.2018, 13:30 (WIAS406)
 Seminar Materialmodellierung
Dr. Simon Praetorius, Technische Universität Dresden:
From individual motion to collective cell migration
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
here
Host
WIAS Berlin
 Monday, 07.05.2018, 13:15 (WIAS406)
 Halbleiterseminar
Dr. Annegret Glitzky, WIAS Berlin:
Thermodynamically consistent models for coupling reactiondiffusion effects in bulk and interfaces
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
Halbleiterseminar
Host
WIAS Berlin
 Thursday, 03.05.2018, 15:00 (WIASESH)
 Seminar Numerische Mathematik
Lukas Feierabend, Universität DuisburgEssen:
Model development for flowing slurry electrodes in zincair batteries
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Slurry or suspension electrodes are gaining a renewed interest for largescale energy storage technologies due to potentially higher energy densities compared to redox flow batteries [1]. A suspension electrode typically consists of a liquid electrolyte and a solid material, which is chemically active and electrically conducting. For the investigated zincair flow batteries employing a suspension electrode, microscopic zinc particles are suspended in an aqueous potassium hydroxide electrolyte [2, 3]. Sedimentation of the metallic zinc is minimized by adding a gelling agent to the electrolyte. The gelling agent and the high particle loading lead to a pseudoplastic rheological behavior. When the flowable suspension electrode is pumped through the channels of the zincair fuel cell setup, the dynamic percolation network within the suspension dictates the active electrode surface area and the maximum discharge power density. Therefore, it is desirable to investigate the influence of the local flow conditions on the particle percolation and consequently the electrochemical performance of the battery cell with adequate simulation methods. In the developed threedimensional numerical model for the flowing suspension electrode, the complex, nonNewtonian twophase flow is approximated by a coupling of an Eulerian continuum description for the electrolyte and a discrete, Lagrangian particle description for the motion and interaction of the microscopic particles. The partial differential equations for momentum, species, charge and energy are discretized by the finite volume method and implemented in the OpenFOAM library [4]. The particle motion including multiple simultaneous particle contacts is described with the discrete element method using the LIGGGHTS library [5]. Coupling between the particle and fluid phase is realized with the CFDDEM method using the CFDEM library [5], where an empirical description accounts for the momentum exchange between the nonNewtonian fluid and the densely distributed particle assemblies. Due to relatively high particle concentrations, the volume displacement by the particles is considered in the electrolyte continuum model. A halfcell model for the anode part of the zincair flow battery is implemented, which accounts for the flow characteristics via the described CFDDEM coupling method. Simultaneously, the charge and species transport is considered according to the classic porous electrode theory by Newman [6] adapted with newer formulations for concentrated electrolytes [7]. In contrast to electrodes with a static porous matrix, the heterogeneous local porosities change temporally depending on the evolving particle distributions. Additionally, the active electrode surface area in each finite volume is dependent on the percolation network from the considered local point to the current collector surface. To estimate the basic parameters for the charge transfer and species transport, a flatplate electrode with a flowing electrolyte without particles is investigated. In this rather simple reference case, discontinuities of the current density close to the electrodeelectrolyteinterface could be observed, which should be inherently excluded due to the model formulations. These inconsistencies will be discussed in detail. Funding by the Federal Ministry for Economic Affairs and Energy (BMWi) of the project â?œZnPLUS Wiederaufladbare ZinkLuftBatterien zur Energiespeicherungâ?? and the project â?œZnMobil  Mechanisch und elektrisch wiederaufladbare ZinkLuftBatterie für automobile Anwendungenâ?? is gratefully acknowledged.
Host
WIAS Berlin
 Thursday, 03.05.2018, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Dr. Holger Stephan, WIAS Berlin:
One million perrin pseudo primes including a few giants
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Pseudoprimes are integers that are no primes but behave like them in some sense. Suppose we have a theorem like the following: If n is a prime, then statement A(n) holds. In general, the opposite is not true: It may be that A(n) holds, but n is a composite number, a socalled pseudo prime with respect to statement A. Pseudoprimes are interesting if they are very rare, as for instance Perrin's pseudoprimes, the smallest of which is 271441. The talk introduces pseudoprimes which are based on recurrent sequences. In addition, some new numerical results on Perrin's pseudoprimes and a fast algorithm for their calculation are presented.
Host
WIAS Berlin
 Wednesday, 25.04.2018, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Nicolai Baldin, University of Cambridge, GB:
Optimal link prediction with matrix logistic regression
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this talk, we will consider the problem of link prediction, based on partial observation of a large network, and on side information associated to its vertices. The generative model is formulated as a matrix logistic regression. The performance of the model is analysed in a highdimensional regime under a structural assumption. The minimax rate for the Frobeniusnorm risk is established and a combinatorial estimator based on the penalised maximum likelihood approach is shown to achieve it. Furthermore, it is shown that this rate cannot be attained by any (randomised) algorithm computable in polynomial time under a computational complexity assumption. (joint work with Q. Berthet)
Further Informations
Forschungsseminar “Mathematische Statistik”
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Monday, 23.04.2018, 14:00 (WIASESH)
 Seminar Quantitative Biomedizin
Prof. Sarah Waters, University of Oxford, GB:
Fluid dynamical models for tissue engineering
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Tissue engineers aim to grow tissues in vitro to replace those in the body that have been damaged through age, trauma or disease. A common approach is to seed cells within a scaffold which is then cultured in a bioreactor. The key challenge it to provide the appropriate mechanical and biochemical cellular environment that promotes tissue growth in vitro. Fluid flows have a key role to play in addressing this challenge, as they can provide mechanical cues to cells (e.g. via fluid shear and pressure), and enhance the delivery of nutrients and growth factors (via advection). In this talk, I will explore how mechanistic mathematical models, in combination with stateofthe art experimental studies, can provide quantitative insights into the interplay between the fluid flows and the resulting tissue growth. Quantitative understanding of this interplay offers the exciting potential to manipulate the experimental design (e.g. scaffold porosity, bioreactor operating conditions) to establish defined mechanical cues that enhance the generation of complex 3D tissues in vitro.
Host
WIAS Berlin
 Wednesday, 18.04.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Mario Varga, Technische Universität Dresden:
Stochastic unfolding and homogenization
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 18.04.2018, 15:00 (WIAS406)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Dr. Pavel Dvurechensky:
Firstorder optimization methods with inexact information about the objective function value and its gradient
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In this talk I will discuss firstorder methods with inexact oracle for finitedimensional optimization. Oracle model of optimization methods assumes that, given a point, the oracle returns some information on the objective function at this point. In the case of firstorder optimization methods, this information is the function value and its gradient at this point. I will start with convex problems, inexact oracle defined in the work by O. Devolder, F. Glineur, Yu. Nesterov, Math. Prog., 2014, and convergence rates for gradient descent and accelerated gradient descent in this case. I will also describe an extension for nonconvex problems. Then I will discuss some ideas on how these methods potentially can be extended and applied for infinitedimensional problems. If time allows, I will cover other optimization problems and methods, which I work with. Among others, optimal transport problem and an accelerated gradient descent for its solution, randomized optimization methods, such as random coordinate descent and random derivativefree method, variational inequalities, saddlepoint problems and firstorder methods for their solution.
Further Informations
Joint Research Seminar on Mathematical Optimization / Nonsmooth Variational Problems and Operator Equations
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 18.04.2018, 13:30 (WIASESH)
 Seminar Numerische Mathematik
Prof. Paul Deuring, Université du Littoral “Côte d'Opale”, Frankreich:
Stabilitäts und Fehlerschranken einer FEFVDiskretisierung von KonvektionsDiffusionsgleichung: exponentielle Abhängigkeit von Parametern
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Wir betrachten eine FEFVMethode zur Bestimmung von Näherungslösungen von KonvektionsDiffusionsgleichungen. Bei dieser Methode wird der Diffusionsterm mittels CrouzeixRaviartElementen diskretisiert, während man den Konvektionsterm durch baryzentrische finite Volumen approximiert. Wir gehen der Frage nach, ob sich Stabilitäts und Fehlerschranken für diese Methode finden lassen, die von keiner Größe exponentiell abhängen, insbesondere nicht vom Kehrwert des Diffusionskoeffizienten.
Host
WIAS Berlin
 Wednesday, 18.04.2018, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Dr. Alexandra Suvorikova, WIAS Berlin:
Gaussian process forecast with multidimensional distributional input
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this work, we focus on forecasting a Gaussian process indexed by probability distributions. We introduce a family of positive definite kernels constructed with the use of optimal transportation distance and provide their probabilistic understanding. The technique allows to forecast efficiently Gaussian processes, which opens new perspective in Gaussian process modelling.
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 17.04.2018, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
Misha Zaks, Universität Potsdam:
Collective dynamics of globally coupled excitable units
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 17.04.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Prof. Peter Friz, WIAS und TU Berlin:
“Algebraic statistics meets rough paths”, joint work with C. Armendola and B. Sturmfels
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
The signature of a parametric curve is a sequence of tensors whose entries are iterated integrals. This construction is central to the theory of rough paths in stochastic analysis. It is here examined through the lens of algebraic geometry. We introduce varieties of signature tensors for both deterministic and random paths. For the former, we focus on piecewise linear paths, on polynomial paths, and on varieties derived from free nilpotent Lie groups. For the latter, we focus on Brownian motion and its mixtures.
Host
WIAS Berlin
 Thursday, 12.04.2018, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Prof. Michael J. Neilan, University of Pittsburgh, USA:
Infsup stable Stokes pairs on barycentric refinements producing divergencefree approximations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We construct several stable finite element pairs for the Stokes problem on barycentric refinements in arbitrary dimensions and for any polynomial degree. A key feature of the spaces is that the divergence maps the discrete velocity space onto the discrete pressure space; thus, when applied to models of incompressible flows, the pairs yield divergencefree velocity approximations. The key ingredients to prove these results are local infsup stability estimates and a modification of BernardiRaugel bubble functions. This is joint work with Johnny Guzman.
Host
WIAS Berlin
 Tuesday, 10.04.2018, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Prof. Dr. Ozan Öktem, KTH Royal Institute of Technology, Schweden:
Recent advances in using machine learning for image reconstruction
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
The talk will outline recent approaches for using (deep) convolutional neural networks to solve a wide range of inverse problems, such as image reconstruction in medical tomography. A key element is to use a neural network architecture for reconstruction that includes physics based models that describe how data is generated as well as its statistical properties. Another is the possibility to integrate complex task related a priori information and elements of decision making into the reconstruction procedure. The resulting approach outperforms current stateoftheart in terms of 'quality', computational speed and there is no need to manually set parameters as with variational methods. Furthermore, the amount of training data and network size can be kept surprisingly small.
Host
WIAS Berlin
 Tuesday, 27.03.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Elena Ivanova, AOK:
Community detection on evolving graphs
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We consider algorithms for detecting the cluster structure in a continual evolving decentralised graph with large number of vertices. As a model for the graph we use the evolving stochastic block model, where only the set of edges changes over time. Algorithms with low upper error bounds will be presented.
Host
WIAS Berlin
 Tuesday, 27.03.2018, 13:30 (WIAS406)
 Seminar Materialmodellierung
Dr. Esteban Meca, University of Cordoba, Spanien:
Localized instabilities in phasechanging systems: The effect of elasticity
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 20.03.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Benjamin Stemper, WIAS und TU Berlin:
Advances in calibrating rough stochastic volatility models via neural networks
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We consider rough stochastic volatility models where the driving noise of volatility has fractional scaling, in the “rough" regime of Hurst parameter H < 1/2. This regime recently attracted a lot of attention both from the statistical and option pricing point of view for its ability to better fit market data than conventional stochastic volatility models like Heston. A drawback of the new regime is that efficient pricing schemes are yet unknown, making calibration  where repetitive evaluation of the pricing functional is required  prohibitively expensive. In our last talk, we envisioned a calibration scheme using deep learning where the expensive pricing functional is learned by an artificial neural network. In this talk, we report on our progress and share some challenges encountered on the way. Work in progress, joint with Christian Bayer.
Host
WIAS Berlin
 Thursday, 08.03.2018, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Sabrina Pickartz:
Optical soliton control by interactions with dispersive waves
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 07.03.2018, 14:00 (WIASESH)
 Seminar Materialmodellierung
Dr. Matthias Liero, WIAS Berlin:
Modeling and simulation of charge transport in organic semiconductors via kinetic and driftdiffusion models
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The use of organic materials in electronic applications such as displays, photovoltaics, lighting, or transistors, has seen an substantial increase in the last decade. This is mainly due to the lower production cost, sustainability, and flexibility. Moreover, the toolbox of organic chemistry opens an enormous potential for new device concepts. In contrast to classical semiconductors such as silicon or galliumarsenide, chargetransport in organic materials happens via temperature activated hopping transport of electrons or holes between adjacent molecules. Here, the crucial feature is the random alignment of the molecule, which leads to a disordered system with Gaussian distributed energy levels. A common approach to simulate the transport of charge carriers in organic materials is based on a master equation description of the hopping transport and kinetic MonteCarlo methods. However, the computational costs of this approach are typically very high and the treatment of complicated multidimensional device structures is very challenging. Moreover, the inclusion of multiphysics effects such as heat flow is out of scope. The latter, in particular, is of high importance as organic devices show a strong interplay between electrical current and heat flow. Here, driftdiffusion models provide an immense advantage. In this talk, we give an overview over the two modeling approaches and give an outlook to future challenges.
Host
WIAS Berlin
 Tuesday, 06.03.2018, 15:15 (WIASESH)
 Seminar Laserdynamik
Dr. Otti D'Huys, Aston University, GB:
Dynamics of delaycoupled networks with timevarying connections
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Seminar Laserdynamik
Host
WIAS Berlin
 Thursday, 01.03.2018, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Dr. Franco Dassi, Politecnico di Milano, Italien:
Recent advancements of the Virtual Element Method in 3D
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The Virtual Element Method is a novel way to discretize a partial differential equation. It avoids the explicit integration of shape functions and introduces an innovative construction of the stiffness matrix so that it acquires very interesting properties and advantages. One among them is the possibility to apply the VEM to general polygonal/polyhedral domain decomposition, also characterized by nonconforming and nonconvex elements.
In this talk we focus on the definition/construction of the Virtual Element functional spaces in three dimensions and how apply this new strategy to set a standard Laplacian problem in 3D.
Finally we test the method to show its robustness with respect to element distortion and the polynomial approximation degree $k$. Then, we move to more involved cases: convectiondiffusionreaction problems with variable coefficients and magnetostatic Maxwell equations.
Host
WIAS Berlin
 Wednesday, 28.02.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Moritz Egert, Université de ParisSud, Frankreich:
How halforder time derivatives help us to better understand parabolic equations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In the study of parabolic problems, the prototypes of which are related to the heat operator ∂ _{t}  Δ, an old but often overlooked approach is to decompose the timederivative into two fractional derivatives of order 1/2. Depending on ones preferences, this can either be considered 'natural' since it brings back the parabolic homogeneity, for instance when the elliptic part is interpreted in the weak sense via a sesquilinear form, or rather 'peculiar' as it introduces nonlocal operators in the context of local equations.In this talk I shall touch on some recent results that used halforder timederivatives in a crucial way, placing an emphasis on my own contributions obtained with several collaborators. This includes improvements of timeregularity for solutions to parabolic systems with measurable coefficients of second as well as fractional order, nonautonomous maximal regularity for the related initial value problem, a new approach to parabolic boundary value problems, and the solution of the parabolic Kato square root problem.
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Monday, 26.02.2018, 14:00 (WIASESH)
 Seminar Laserdynamik
Dr. Karin Mora, Universität Paderborn:
Says Newton to Hopf and HogkinHuxley: Vibrating! Impacting! Exciting!
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Wednesday, 21.02.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar) & Seminar Materialmodellierung
Dr. Marco Morandotti, TU München:
Dimension reduction in the context of structured deformations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The theory of structured deformations shows good potential to deal with mechanical problems where multiple scales and fractures are present. Math ematically, it amounts to relaxing a given energy functional and to show also the relaxed one has an integral representation. In this seminar, I will focus on a problem for thin objects: the derivation of a 2D relaxed energy via dimension reduction from a 3D energy, incorporat ing structured deformations in the relaxation procedure. I will discuss the twostep relaxation (first dimension reduction, then structured deformations and vice versa) and I will compare it with another result in which the two relaxation procedures are carried out simultaneously. An explicit example for purely interfacial initial energies will complete the presentation. These results have been obtained in collaboration with G. Carita, J. Matias, and D.R. Owen.
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Tuesday, 20.02.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Pavel Dvurechensky, WIAS Berlin:
Faster algorithms for (regularized) optimal transport
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We propose an alternative to ubiquitous Sinkhorn algorithm for solving regularized optimal transport problem. Our approach is based on accelerated gradient descent applied to the dual problem and allows to solve not only entropyregularized optimal transport problem, but also squared2normregularized OT problem, which produces sparser optimal transport plan approximation. We prove that, our algorithm, allows to solve nonregularized optimal transport problem with support size $p$ up to accuracy $epsilon$ in $Oleft(minleftfracp^9/4epsilon, fracp^2epsilon^2 rightright)$ arithmetic operations, which is better than stateoftheart result $Oleft(fracp^2epsilon^3right)$.
Host
WIAS Berlin
 Thursday, 15.02.2018, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
JanPhilipp Koester, FerdinandBraunInstitut Berlin:
Simulation of pulsed laser diodes driven far above threshold with WIASBALaser and comparison with experiment
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Wednesday, 14.02.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Wolfgang Dreyer, WIAS Berlin:
Modeling of nonNewtonian fluids without material frame indifference
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In the fifties the modeling of nonNewtonian fluids initiated the search for invariant time derivatives with respect to certain space time transformations. Then Euclidean Transformations were selected to establish the Principle of Material Frame Indifference and N^{th} Grade Fluids. However, the two concepts lead to serious inconsistencies between thermodynamic consistent models and experimental observations. In 1986 the subject has been resolved in a remarkable paper by I. Müller and K. Wilmanski. We discuss alternative nonNewtonian fluids models of Maxwelltype and of Balancetype within Continuum Thermodynamics as it was laid down by D. Bothe and W. Dreyer.
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Tuesday, 13.02.2018, 15:15 (FU140)
 Oberseminar Nonlinear Dynamics
Marek Fila, Comenius University Bratislava, Slovakia:
A GagliardoNirenbergtype inequality and its applications to decay estimates for solutions of a degenerate parabolic equation
more ... Location
Freie Universität Berlin, Arnimallee 7, 14195 Berlin, Hinterhaus, Raum: 140
Abstract
We discuss a GagliardoNirenbergtype inequality for functions with fast decay. We use this inequality to derive upper bounds for the decay rates of solutions of a degenerate parabolic equation. Moreover, we show that these upper bounds, hence also the GagliardoNirenbergtype inequality, are sharp in an appropriate sense. The talk will consist of two parts  an introduction of one hour and a presentation of proofs of also one hour.
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 13.02.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Martin Redmann, MPI Magdeburg:
Solving parabolic rough partial differential equations using regression
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In this talk, we discuss the numerical approximation of parabolic partial differential equations (PDEs) driven by a rough path which, e.g., can be the lift of a path of a fractional Brownian motion. By using the FeynmanKac formula, the solution can be represented as the expected value of a functional of the corresponding hybrid Stratonovichrough differential equation. A timediscretisation of this equation and a Monte Carlo regression in the spatial variable lead to an approximation of the solution to the rough PDE. We analyse the regression error and provide several numerical experiments to illustrate the performance of our method.
Host
WIAS Berlin
 Wednesday, 07.02.2018, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Gitta Kutyniok, Technische Universität Berlin:
Optimal approximation with sparsely connected deep neural networks
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Despite the outstanding success of deep neural networks in realworld applications, most of the related research is empirically driven and a mathematical foundation is almost completely missing. One central task of a neural network is to approximate a function, which for instance encodes a classication task. In this talk, we will be concerned with the question, how weural network with sparse connectivity. Using methods from approximation theory and applied harmonic analysis, we will derive a fundamental lower bound on the sparsity of a neural network. By explicitly constructing neural networks based on certain representation systems, socalled shearlets, we will then demonstrate that this lower bound can in fact be attained. Finally, we present numerical experiments, which surprisingly show that already the standard backpropagation algorithm generates deep neural networks obeying those optimal approximation rates. This is joint work with H. B?olcskei (ETH Zurich), P. Grohs (Uni Vienna), and P. Petersen (TU Berlin).
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 06.02.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Mario Maurelli, WIAS Berlin:
McKeanVlasov SDEs with irregular drift: large deviations for particle approximation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
McKeanVlasov SDEs are SDEs where the coefficients depend on the law of the solution to the SDE. Their interest is in the links with nonlinear PDEs on one side (the SDErelated FokkerPlanck equation is nonlinear) and with interacting particles on the other side: the McKeanVlasov SDE can be approximated by a system of weakly coupled SDEs. In this talk we consider McKeanVlasov SDEs with irregular drift: though wellposedness for this SDE is not known, we show a large deviation principle for the corresponding interacting particle system. This implies, in particular, that any limit point of the particle system solves the McKeanVlasov SDE. The proof combines rough paths techniques and an extended Varadhan lemma. This is a joint work with Thomas Holding.
Host
WIAS Berlin
 Friday, 02.02.2018, 14:30 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Thomas Ruf, Universität Augsburg:
On a variational approach to the nonlinear wave equation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In a 2012 paper, E. Serra and P. Tilli proved a conjecture by E. de Giorgi stating that global weak solutions of wave equations such as w”  Delta w + wlwl^(p2) = 0 on R^+ times R^d can be obtained as limits of minimizers of suitable variational functionals. We generalize this proof to equations of the form w”  Delta w + f_w (t; x; w) = 0 with pgrowth conditions on f, also replacing R^d by an arbitrary open set O subset R^d and suitable boundary conditions.
Further Informations
Joint Research Seminar on Mathematical Optimization / Nonsmooth Variational Problems and Operator Equations
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Thursday, 01.02.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Prof. Alexander Gasnikov, Moscow Institute of Physics and Technology, Russia:
Recent developments of accelerated gradient descent, part II
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Thursday, 01.02.2018, 15:00 (WIASESH)
 Seminar Numerische Mathematik
Laura Blank, WIAS Berlin:
Towards a simple and robust finite element method for the numerical simulation of porous media flow
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The topic of this talk is the numerical simulation of flow through porous media based on the Brinkman model as a unified framework that allows the transit between Darcy and Stokes problems. Therefore an unconditionally stable low order finite element approach, which is robust with respect to the physical parameters, is proposed. This approach is based on the combination of stabilized equal order finite elements with a nonsymmetric (penaltyfree) Nitsche method for the weak imposition of essential boundary conditions. Focusing on the twodimensional case, optimal a priori error estimates in a meshdependent norm, which allows to extend the results also to the Stokes and Darcy limits, are obtained.
Host
WIAS Berlin
 Thursday, 01.02.2018, 14:00 (WIASESH)
 Seminar Quantitative Biomedizin
Dr. Edoardo Sinibaldi, Italian Institute of Technology:
Selected modeling approaches for biomedical applications and biorobotics tools
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The effective deployment of theranostic agents (including drugs), smart?materials?based systems and interfaces to target regions (prospectively) in the human body where to perform the sought actions also requires theoretical models and physical tools. Modeling the delivery and the (remote) actuation/stimulation of the aforementioned agents/systems/interfaces, in particular, permits to compensate for experimental conditions hard to characterize and to better interpret the experimental results, thus paving the way for quantitative therapy design and control. This is complemented by modelbased design of related experimental devices, flexible tools able to safely navigate anatomical pathways, and miniaturized effectors. In this talk I will firstly present the solution to an inverse problem, namely to determine the velocity profile in a vessel crosssection starting from the flowrate, which is relevant to pulsatile biological flows (blood and cerebrospinal fluid flows), with application, e.g., to magnetic particle targeting. Then I will address numerical models for intrathecal drugdelivery (drug infusion in the cerebrospinal fluid, also accounting for transport to the spinal cord) and simplified analytical models for intratissue drugdelivery (particle transport into porous/poroelastic media, with application to intratumoral thermotherapy). Finally, I will overview modelbased approaches for: piezoelectric nanoparticlemediated cell stimulation; realscale physical models of the bloodbrain barrier; flexible biorobotics probes; miniature (bioinspired) actuators and effectors.
Host
WIAS Berlin
 Wednesday, 31.01.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Alexander Linke, WIAS Berlin:
On the role of the HelmholtzLeray projector for a novel pressurerobust discretization theory for the incompressible NavierStokes equations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The talk discusses several physical regimes of the incompressible NavierStokes equations with respect to the role of the pressure and the role of the HelmholtzLeray projector in the NavierStokes momentum balance. It is emphasized that not the forces in the momentum balance themselves matter for the complexity of the flow field, but their HelmholtzLeray projector. Since the HelmholtzLeray projector vanishes for arbitrary gradient fields, a semi norm and a corresponding equivalence class of forces play naturally a major role for the evolution of incompressible flows. Novel pressurerobust mixed finite element methods are designed for an appropriate discrete treatment of this equivalence class of forces. On the contrary, classical mixed methods do not care about the existence of such an equivalence class. In order to deliver accurate simulation results, they have to resort to expensive high order ansatz spaces. Finally, the talk will indicate suitable applications for efficient and accurate loworder pressurerobust mixed methods like flows with electrolytes, flows with stagnation points and flows with a dominant Coriolis force.
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 31.01.2018, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Elisabeth Gassiat, Universite ParisSud:
Estimation of the proportion of explained variation in high dimensions
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The estimation of the heritability of a phenotypic trait based on genetic data may be set as the estimation of the proportion of explained variation in high dimensional linear models. I will be interested in understanding the impact of: not knowing the sparsity of the regression parameter, not knowing the variance matrix of the covariates on minimax estimation of heritability. In the situation where the variance of the design is known, I will present an estimation procedure that adapts to unknown sparsity. When the variance of the design is unknown and no prior estimator of it is available, I will show that consistent estimation of heritability is impossible. (Joint work with N. Verzelen, and PHD thesis of A. Bonnet).
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Wednesday, 24.01.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Hagen Neidhardt, WIAS Berlin:
On the spectral shift function: Recent results
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 24.01.2018, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Andreas Maurer, München:
Concentration for functions of bounded interaction
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Some multivariate functions have the property that their variation in any argument does not change too much when another argument is modied. The talk will give some examples and concentrates on the random variable W obtained by applying such a function to a vector of independent variables. Functions with weakly interacting arguments share some important properties with sums: the expectation of W can be estimated by a version of Bernstein's inequality and its variance can be tightly estimated in terms of an iid sample, which has only one datum more than the function has arguments. There is also a version of the central limit theorem.
Host
Universität Potsdam
HumboldtUniversität zu Berlin
WIAS Berlin
 Tuesday, 23.01.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Paolo Pigato, WIAS Berlin:
The exploding skew of implied volatility
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We show how a simple local volatility model, with volatility function discontinuous atthemoney, is capable of reproducing the explosion of the implied volatility skew, observed on empirical data. We use such local volatility as a leverage function, in a stochasticlocal volatility model, obtaining good fits of the whole implied volatility surface on empirical observations.
Host
WIAS Berlin
 Tuesday, 23.01.2018, 14:00 (WIAS406)
 Seminar Materialmodellierung
Prof. Jan Giesselmann, RWTH Aachen:
Modelling error estimates and model adaptation in compressible flows
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
tba
Host
WIAS Berlin
 Friday, 19.01.2018, 14:00 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Prof. Dr. Sören Bartels, AlbertLudwigsUniversität Freiburg:
Finite element methods for nonsmooth problems and application to a problem in optimal insulation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Nonsmooth problems arise in the mathematical modeling of contact and obstacle problems, the description of plastic material behavior, and mathematical image processing. The unknown functions are typically characterized as minimizers of nondifferentiable functionals. Numerical schemes approximately solve these problems either via duality methods or classically by making use of appropriate regularizations. In the talk we discuss the discretization and iterative solution of a model problem defined on functions of bounded variation. The numerical analysis of finite element discretizations leads to reduced convergence rates which can be improved using adaptive mesh refinement. Suitable iterative solution procedures are ADMM schemes, for which we propose an automatic step size adjustment strategy, and gradient flows, for which we demonstrate the unconditional stability of a semiimplicit time discretization. The methods are applicable in the numerical determination of optimal insulating films for heat conducting bodies. Below a critical value of available insulation mass an unexpected break of symmetry occurs.
Further Informations
Joint Research Seminar on Mathematical Optimization / Nonsmooth Variational Problems and Operator Equations
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Thursday, 18.01.2018, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Prof. Wolfgang Dreyer, WIAS Berlin:
Modeling of nonNewtonian fluids without material frame indifference
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In the fifties the modeling of nonNewtonian fluids initiated the search for invariant time derivatives with respect to certain space time transformations. Then Euclidean Transformations were selected to establish the Principle of Material Frame Indifference and moreover, the introduction of N^{th} grade fluids. However, the two concepts lead to serious inconsistencies in both thermodynamic modeling and experimental observations. In 1986 the subject has been resolved in a remarkable paper by I. Müller and K. Wilmanski. In this lecture we show how an appropriate model of nonNewtonian fluids may be incorporated in Continuum Thermodynamics as it was laid down by D. Bothe and W. Dreyer.
Host
WIAS Berlin
 Wednesday, 17.01.2018, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Dr. Jürgen Sprekels, WIAS Berlin:
CahnHilliard systems with general fractionalorder operators
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 17.01.2018, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Anthony Nouy, École Centrale de Nantes, Frankreich:
Learning highdimensional functions with tree tensor networks
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Tensor methods are among the most prominent tools for the approximation of high dimensional functions. Such approximation problems naturally arise in statistical learning, stochastic analysis and uncertainty quantication. In many practical situations, the approximation of high dimensional functions is made computationally tractable by using rankstructured approximations. In this talk, we give an introduction to treebased (hierarchical) tensor formats, which can be interpreted as deep neural networks with particular architectures. Then we present adaptive algorithms for the approximation in these formats using statistical methods.
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 16.01.2018, 15:15 (FU140)
 Oberseminar Nonlinear Dynamics
JiaYuan Dai, Freie Universität Berlin:
Existence of local solutions of Gowdy spacetimes
more ... Location
Freie Universität Berlin, Arnimallee 7, 14195 Berlin, Hinterhaus, Raum: 140
Abstract
We consider a class of Gowdy spacetimes that reduces the Einstein's field equation to a system of two semilinear wave equations, by assuming a universe without matter, in which the gravitational wave fronts repeat in space and are mutually parallel. To prove the existence of local solutions of the system, we add a linear perturbation and seek periodicinspace solutions. The idea of the proof is to apply the LyapunovSchmidt reduction. We will solve a related smalldivisor problem and discuss how to design the correct functional setting that fits to the nonlinearity. This ongoing research is a joint work with Dr. Hannes Stuke.
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 16.01.2018, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Prof. Alexander Gasnikov, Moscow Institute of Physics and Technology, Russia:
Recent developments of accelerated gradient descent, part I
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 16.01.2018, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Dr. Ingo Bremer, WIAS Berlin:
Introduction to a framework for nonlinear optimization with adaptation to probabilistic constraints
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Thursday, 11.01.2018, 16:00 (WIASESH)
 Seminar Laserdynamik
Prof. Andrey L. Shilnikov, Neuroscience Institute, Georgia State University, USA:
Torus bifurcations in slow fast systems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Thursday, 11.01.2018, 15:00 (WIASESH)
 Seminar Numerische Mathematik
Dr. Amer Rasheed, Lahore University of Management Sciences, Pakistan:
Influence of magnetic field on dendrites during solidification of binary mixtures
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
A phase field model has been proposed which incorporates convection and magnetic field in an isothermal environment. A numerical scheme is proposed and numerical analysis of model in twodimensional geometry is performed. The numerical stability and error analysis of this approximation scheme which is based on mixed finiteelement method are performed. An application of a nickelcopper binary alloy is considered. Influence of various magnetic fields on the dendrites during the solidification process has been discussed.
Host
WIAS Berlin
 Thursday, 11.01.2018, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Prof. Gert Lube, GeorgAugustUniversität Göttingen:
Why exactly divergencefree H(div)conforming FEM for transient incompressible flows?
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Recent results show that one can reconstruct classical infsup stable H1conforming FEM for incompressible flow problems to be pressurerobust. Exactly divergencefree FEM are pressurerobust per construction. In particular, exactly divergencefree H(div)conforming FEM combine excellent stability and conservation properties with minimal stabilization. We show that the numerical analysis of such methods allows to separate the (static) linear Stokes regime and the nonlinear dynamic regime. Semirobust error estimates w.r.t. the Reynolds number will be given. In a hybridized form, H(div)conforming FEM are suitable for large scale computation. Applications of the approach to two and threedimensional problems of vortex dynamics will be presented for high Reynolds numbers.
Host
WIAS Berlin
 Thursday, 11.01.2018, 10:00 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Dr. Tobias Kluth, Universität Bremen:
Modelbased magnetic particle imaging
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Magnetic particle imaging (MPI) is a tracerbased imaging modality developed to detect the concentration of superparamagnetic iron oxide nanoparticles. It is highly sensitive to the nanoparticle's nonlinear response to a dynamic applied magnetic field. Modelbased reconstruction techniques are still not able to reach the quality of databased approaches in which the linear system function is determined by a timeconsuming measurement process. Possible reasons include the relaxation behavior of nanoparticles in fast changing magnetic fields. However, the equilibrium model described by the Langevin function is still used to predict the system behavior. In this context we discuss the illposedness of the imaging problem. We further focus on the modelbased MPI reconstruction problem incorporating deviations in the forward operator. This is illustrated by initial results from real data using a regularized total least squares approach.
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 10.01.2018, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Antoine Chambaz, Universität Paris Descartes, Frankreich:
An introduction to targeted learning
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Coined by Mark van der Laan and Dan Rubin in 2006, targeted learning is a general approach to learning from data that reconciles machine learning and statistical inference. On the one hand, machine learning" refers to the estimation of innitedimensional features of the law of the data, P, for instance a regression function. Machine learning algorithms are versatile, and produce (possibly highly) dataadaptive estimators. Driven by the need to make accurate predictions, they do not care so much about the assessment of prediction uncertainty. On the other hand, statistical inference" refers to the estimation of nitedimensional parameters of P, for instance a measure of association with a causal interpretation. It focuses on the construction of condence regions or the development of hypotheses tests. Emphasis is placed on robustness (guaranteeing that one goes to the truth even under mild and reasonable assumptions on P), eciency (trying to draw as much information from the data as possible), and controlling the asymptotic levels or type I errors.
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Thursday, 21.12.2017, 14:15 (WIASHVP4.13)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Dr. Guozhi Dong, HumboldtUniversität zu Berlin:
Regularization methods and nonlinear PDEs for solving inverse and imaging problems
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 4. Etage, Raum: 4.13
Abstract
In this talk, I will present some recent developments on regularization methods in image sciences. I shall show a tiny background and also mention some of the state of the art in this area. The focus will be then to discuss some nonconvex regularization models for specific problems which suffer from displacement errors. The nonconvex energy functionals reveal to have tight connections to some nonlinear (geometric) partial differential equations, e.g. mean curvature flows. Finally, I will show some numerical results with some discussions on the algorithms.
Further Informations
Joint Research Seminar on Mathematical Optimization / Nonsmooth Variational Problems and Operator Equations
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 December 18 – 19, 2017 (WIASESH)
 Workshop/Konferenz: Dynamics of novel modelocked and frequencyswept lasers
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Thursday, 14.12.2017, 14:00 (WIASESH)
 Seminar Materialmodellierung
Bartlomiej Matejczyk, University of Warwick, GB:
Macroscopic models for ion transport in nanoscale pores
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
During this talk, we discuss ionic transport through confined geometries. Our problem concerns modelling ionic flow through nanopores and ion channels. We present different methods of engineering the pores together with its characteristics. Next, we comment on the challenges in simulating the flow efficiently. In the second part, we present a derivation of 1D asymptotic reduction of the PoissonNernstPlanck model applied to long and narrow pores. We discuss numerical schema and compare the results the solution of the twodimensional system of equations.
Host
WIAS Berlin
 Wednesday, 13.12.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Joachim Rehberg, WIAS Berlin:
On maximal parabolic regularity for nonautonomous parabolic operators, Part 2
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 13.12.2017, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Dr. Fabian Dunker, University of Canterbury, Christchurch, New Zealand:
Multiscale tests for shape constraints in linear random coefficient models
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
A popular way to model unobserved heterogeneity is the linear random coecient mo del Y i = i;1Xi;1 + i;2Xi;2 + ::: + i;dXi;d. We assume that the observations (Xi; Yi); i = 1; :::; n, are i.i.d. where Xi = (Xi;1; :::;Xi;d) is a ddimensional vector of regressors. The random coecients i = (i;1; :::; i;d); i = 1; :::; n, are unobserved i.i.d. realizations of an unknown ddimensional distribu tion with density f independent of Xi. We propose and analyze a nonparametric multiscale test for shape constraints of the random coecient density f. In particular we are interested in condence sets for slopes and modes of the density. The test uses the connection between the model and the ddimensional Radon transform and is based on Gaussian approximation of empirical processes. This is a joint work with K. Eckle, K. Proksch, and J. SchmidtHieber.
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 12.12.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Franz Besold, HumboldtUniversität zu Berlin:
Persistence diagrams
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In this talk we introduce persistence diagrams. These can be used as a tool to infer topological information from noisy data. To do that, we review simplicial and singular homology. Persistence diagrams have originally be defined for functions on topological spaces, but can be more generally defined using persistence modules. Stability results ensuring that close data sets have close persistence diagrams show that persistence diagrams are wellsuited to deal with reallife data. Applications include data smoothing or recovering topological features of manifolds from a sampled point cloud.
Host
WIAS Berlin
 Monday, 11.12.2017, 14:00 (WIASESH)
 INSTITUTSKOLLOQUIUM
Jürgen Borchardt/Peter Mathé, WIAS:
Der blockorientierte Prozesssimulator BOP: Was er kann und was er tat.
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
BOP dient zur Prozesssimulation, insbesondere zum Lösen großer DAE Systeme (differentialalegebraic systems). Über viele Jahre hinweg wurden mit BOP Simulationen von Gas/ÖlTurbinen vorgenommen, in der Kooperation mit Alstom, Switzerland. Um eine derartige praxisbezogene Zusammenarbeit langfristig zu gestalten, wurden die Fähigkeiten des solvers weiterentwickelt. Peripher wurden verschiedene Verfahren implementiert, insbesondere zur deterministischen und Bayes'schen Optimierung. Die Simulationsergebnisse können vielfältig visualisiert werden. Im Vortrag werden diese Entwicklungen vorgestellt. Weiterhin wird die erfolgreiche Zusammenarbeit mit dem Kooperationspartner im Rückblick skizziert.
Host
WIAS Berlin
 Wednesday, 06.12.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Joachim Rehberg, WIAS Berlin:
On maximal parabolic regularity for nonautonomous parabolic operators, Part 1
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 06.12.2017, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Dr. Alexander Meister, Universität Rostock:
Nonparametric density estimation for intentionally corrupted functional data
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We consider statistical models where, in order to satisfy privacy constraints, functional data are artificially contaminated by independent Wiener processes. We show that the corrupted observations have a Wiener density, which determines the distribution of the original functional random variables uniquely. We construct a nonparametric estimator of the functional density and study its asymptotic properties. We provide an upper bound on its mean integrated squared error which yields polynomial convergence rates, and we establish lower bounds on the minimax convergence rates which are close to the rates attained by our estimator. Our estimator requires the choice of a basis and of two smoothing parameters. We propose datadriven ways of choosing them and prove that the asymptotic quality of our estimator is not significantly affected by the empirical parameter selection. We apply our technique to a classification problem of real data and provide some numerical results. This talk is based on a joint work with A. Delaigle (University of Melbourne).
Host
WIAS Berlin
 Tuesday, 05.12.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Maxim Panov, Skolkovo Institute of Science and Technology, Moskow, Russia:
Consistent estimation of mixed memberships with successive projections
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In this talk, we consider several types of accelerated randomized gradient methods: random directional search, random coordinate descent, randomized zeroorder method. Using the concept of inexact oracle, we present a generic theorem on the convergence rate for all the three methods. Despite their random nature, these methods have complexity with the same dependence on the desired accuracy of the solution as deterministic accelerated gradient method. Joint work with A. Gasnikov and A. Tiurin.
Host
WIAS Berlin
 Tuesday, 05.12.2017, 10:00 (WIASESH)
 Seminar Laserdynamik
Prof. Raimondas Čiegis, Vilnius Gediminas Technichal University, Litauen:
Numerical simulation of nonlocal delayed feedback controller for some new smart bioreactors
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The new nonlocal delayed feedback controller is used to control the production of drugs in a simple bioreactor. This bioreactor is based on the enzymatic conversion of substrate into the required product. The dynamics of this device is described by a system of two nonstationary nonlinear diffusionreaction equations. The control loop defines the changes of the substrate concentration delivered into the bioreactor at the external boundary of the bioreactor depending on the difference of measurements of the produced drug delivered into the body and the flux of the drug prescribed by a doctorin accordance with the therapeutic protocol. The system of PDEs is solved by using the finite difference method, the control loop parameters are defined from the analysis of stationary linearized equations. The stability of the algorithm for the inverse boundary condition is investigated. Results of computational experiments are presented and analyzed.
Host
WIAS Berlin
 Thursday, 30.11.2017, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Sabrina Pickartz, WIAS Berlin:
Alloptical control of fibersolitons
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Thursday, 30.11.2017, 14:00 (WIASESH)
 Seminar Numerische Mathematik
PD Dr. Michal Pavelka, Charles University, Tschechische Republik:
42=GENERIC  Unified Hamiltonian description of solids and fluids
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
GENERIC (General equation for nonequilibrium reversibleirreversible coupling) provides evolution equations for many physical theories: fluid mechanics, kinetic theory, mechanics of solids, plasticity, nonNewtonian fluid mechanics, electromagnetic field coupled with matter, dynamics of mixtures, etc. The equations consist of a reversible Hamiltonian part, generated by a Poisson bracket and energy, and by an irreversible gradient part, generated by a dissipation potential and entropy. The purpose of this talk is to provide introduction into GENERIC and discuss some specific applications.
Host
WIAS Berlin
 Wednesday, 29.11.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Pavel Gurevich, Freie Universität Berlin:
Rattling in hysteretic reactiondiffusion systems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Tuesday, 28.11.2017, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Christian Löbbert, RWTH Aachen:
Parallel arithmetic for distributed tensors in the HTformat
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Monday, 27.11.2017, 14:00 (WIASESH)

Dr. Anne Höner, Forschungsverbund Berlin e.V.:
Funding opportunities for WIAS Researchers within the European Framework Programme Horizon 2020
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Monday, 27.11.2017, 09:30 (WIASHVP4.13)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Dr. Andrea Ceretani, HumboldtUniversität zu Berlin:
Anomalous diffusion with free boundaries
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 4. Etage, Raum: 4.13
Abstract
Recently, time fractional Stefanlike problems have been used to model anomalous diffusion with free boundaries and long memory retention. Nevertheless, the physical foundations of this usage is still unclear. We present a model for acid water neutralization with anomalous and fast diffusion. Though this problem presents short memory retention, it is a first step in deriving mathematical models for anomalous diffusion under memory effects based on commonly accepted physical laws. The problem consists in the neutralization of an acid solution in which the hydrogen ions are transported according to Cattaneo's diffusion, and we consider the specific case of a marble slab reacting with a sulphuric acid solution in a onedimensional geometry. The mathematical problem is reduced to a hyperbolic free boundary problem where the consumption of the slab is described by a nonlinear differential equation. We prove global wellposedness and present some numerical simulations.
Further Informations
Joint Research Seminar on Mathematical Optimization / Nonsmooth Variational Problems and Operator Equations
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Friday, 24.11.2017, 14:00 (WIASESH)
 Halbleiterseminar
Dr. Oliver Marquardt, WIAS Berlin:
Anwendungen der kpTheory
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Halbleiterseminar
Host
WIAS Berlin
 Wednesday, 22.11.2017, 14:30 (WIAS406)
 FG Stochastische Systeme mit Wechselwirkung
Dr. Sergio Simonella, Technische Universität München:
Correlations in the mean field dynamics: a random walk expansion
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 November 22, 2017 (WIASESH)
 Workshop/Konferenz: Colloquium in Mathematical Statistics
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 21.11.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Valerij Avanesov, WIAS Berlin:
Dynamics of highdimensional covariance matrices
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We consider the detection and localization of an abrupt break in the covariance structure of highdimensional random data. The study proposes two novel approaches for this problem. The approaches are essentially hypothesis testing procedures which requires a proper choice of a critical level. In that regard calibration schemes, which are in turn different nonstandard bootstrap procedures, are proposed. One of the approaches relies on techniques of inverse covariance matrix estimation, which is motivated by applications in neuroimaging. A limitation of the approach is a sparsity assumption crucial for precision matrix estimation which the second approach does not rely on. The description of the approaches are followed by a formal theoretical study justifying the proposed calibration schemes under mild assumptions and providing the guaranties for the break detection. Theoretical results for the first approach rely on the guaranties for inference of precision matrix procedures. Therefore, we rigorously justify adaptive inference procedures for precision matrices. All the results are obtained in a truly high dimensional (dimensionality p _x001d_ n) finitesample setting. The theoretical results are supported by simulation studies, most of which are inspired by either real world neuroimaging or financial data.
Host
WIAS Berlin
 Tuesday, 21.11.2017, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Prof. Eric Charkaluk, Ecole Polytechnique, Frankreich:
Fatigue of metallic additive manufactured structures: What can we learn from other manufacturing processes?
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Monday, 20.11.2017, 14:00 (WIASESH)
 Seminar Quantitative Biomedizin
Prof. JeanFrederic Gerbeau, Inria de Paris & Sorbonne Universités UPMC Paris 6:
Numerical methods for variability modeling and biomarkers design
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Many phenomena are modeled by deterministic differential equations, whereas the observation of these phenomena, in particular in life science, exhibit an important intersubject variability. We will address the following question: how the model can be adapted to reflect the variability observed in a population? We will present a nonparametric and nonintrusive procedure based on offline computations of the deterministic model. The algorithm infers the probability density function of uncertain parameters from the matching of the observable statistical moments at different points in the physical domain. This inverse procedure is improved by incorporating a point selection algorithm that both reduces its computational cost and increases its robustness. The method will be illustrated for different models, based on Ordinary or Partial Differential Equations. In particular, applications to experimental data sets in cardiac electrophysiology will be presented.
In biophysics and medicine, the system of interest is often studied by monitoring quantities, called biomarkers, extracted from measurements. These biomarkers convey some information about relevant hidden quantities, which can be seen as parameters of an underlying model. We propose a strategy to automatically design biomarkers to estimate a given parameter. Such biomarkers are chosen as the solution of a sparse optimization problem. We will show applications in electrophysiology where our algorithm provides composite biomarkers which improve the parameter estimation and the classification problems.
Host
WIAS Berlin
 Thursday, 16.11.2017, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Dr. Carsten Brée, WIAS Berlin:
Shaping beams of broad area lasers with photonic crystals
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Thursday, 16.11.2017, 14:00 (WIASHVP)
 Seminar Materialmodellierung
Prof. Andreas Münch, University of Oxford, GB:
Asymptotic analysis of models involving surface diffusion
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 4. Etage, Raum: 4.01
Abstract
We study the evolution of solid surfaces and pattern formation by surface diffusion. Phase field models with degenerate mobilities are frequently used to model such phenomena, and are validated by investigating their sharp interface limits. We demonstrate by a careful asymptotic analysis involving the matching of exponential terms that a certain combination of degenerate mobility and a double well potential leads to a combination of surface and nonlinear bulk diffusion to leading order. We also present a stability analysis for the sharp interface model of an evolving nonhomogeneous base state and show how to correctly determine the dominant mode, which is not the one predicted by a frozen mode eigenvalue analysis.
Host
WIAS Berlin
 Wednesday, 15.11.2017, 15:15 (WIASESH)
 Halbleiterseminar
Prof. Anton Boitsev, St. Petersburg National University of Information Technologies, Mechanics and Optics, RUSSIA:
Boundary triplets, tensor products and point contacts to reservoirs
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
WIASHalbleiterseminar
Host
WIAS Berlin
 Wednesday, 15.11.2017, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Enkelejd Hashorva, University of Lausanne, Switzerland:
From classical to parisian ruin in Gaussian risk models
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
This talk is concerned with Gaussian risk models which approximate reasonably the risk process of an insurance company. Such models incorporate various nancial elements related to inflation/deflationion and taxation. Of interest also from the probabilistic point of view, is the approximation of the ruin probability and the ruin time when the initial capital is large. The concept of Parisian ruin is quite new and appealing for mathematical models of insurance risks. However the calculation of Parisian ruin and the Parisian ruin time is a hard problem. Recent research has also focused on the investigation of multivalued risk models analysing the ruin probability and the ruin time. Currently, due to the lack of appropriate tools, results are available only for the Brownian risk model. In this talk various approxi mations of ruin probability and ruin times for both classical and Parisian case will be discussed including results for the multivalued Brownian risk model. Joint work with K. Debicki, University of Wroclaw and L. Ji, University of Lausanne
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 14.11.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Adrien Barrasso, École Nationale Supérieure de Techniques Avancées, Paris, France:
BSDEs and decoupled mild solutions of (possibly singular, path dependent or integroPDEs.)
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Friday, 10.11.2017, 14:00 (WIASESH)
 Halbleiterseminar
Dr. Thomas Koprucki, WIAS Berlin:
Einführung in die kpTheory
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Halbleiterseminar
Host
WIAS Berlin
 Wednesday, 08.11.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Robert Lasarzik, Technische Universität Berlin:
Generalised solutions to the EricksenLeslie model describing liquid crystal flow
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
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Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 08.11.2017, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Arnak Dalayan, ENSAE ParisTech:
On the exponentially weighted aggregate with the Laplace prior
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this talk, we will present some results on the statistical behaviour of the Exponentially Weighted Aggregate (EWA) in the problem of highdimensional regression with xed design. Under the assumption that the underlying regression vector is sparse, it is reasonable to use the Laplace distribution as a prior. The resulting estimator and, specically, a particular instance of it referred to as the Bayesian lasso, was already used in the statistical literature because of its computational convenience, even though no thorough mathematical analysis of its statistical properties was carried out. The results of this talk ll this gap by establishing sharp oracle inequalities for the EWA with the Laplace prior. These inequalities show that if the temperature parameter is small, the EWA with the Laplace prior satises the same type of oracle inequality as the lasso estimator does, as long as the quality of estimation is measured by the prediction loss. Extensions of the proposed methodology to the problem of prediction with lowrank matrices will be discussed as well. (based on a joint work with Edwin Grappin and Quentin Paris)
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 07.11.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Egor Klochkov, HumboldtUniversität zu Berlin:
Invertibility of 1D random kernel matrix
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 07.11.2017, 13:30 (WIASESH)
 Seminar Numerische Mathematik
Prof. Julia Novo, Universidad Autónoma de Madrid, Spanien:
Quasioptimal methods to approximate the incompressible NavierStokes squations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this talk we will consider different methods to approximate the incompressible NavierStokes squations. Our main concern is to get error bounds with constants independent on inverse powers of the viscosity parameter. We will consider infsup stable methods with graddiv stabilization, non infsup stable methods with local projection stabilization and fully discrete schemes based on projection methods in time plus graddiv stabilization in space. Some numerical experiments will be shown to check the optimality of the theoretical rates of convergence of the methods.
Host
WIAS Berlin
 Friday, 03.11.2017, 14:00 (WIASESH)
 Halbleiterseminar
Dr. Manuel Landstorfer, WIAS Berlin:
Modellierung von ElektrolytMetallGrenzflächen
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Halbleiterseminar
Host
WIAS Berlin
 Wednesday, 01.11.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Tomáš Roubíček, Czech Academy of Sciences, Tschechische Republik:
Seismic waves and earthquakes in a global monolithic model
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
A model of seismic sources during rupturing of lithospheric faults is combined with a model of propagation of the emitted seismic waves in a layered continuum, admitting also a viscoelastic (Boger) fluid and reflecting thus the Earth mantle/core structure. This model is approximated by a monolithic way, handling the damageable solid (with the phasefield crack model) and the Boger fluid in a unified way. Numerical simulations showing rupture on preexisting fault, wave propagation and Swave reflection performed by Roman Vodicka is shown, together with another experiment where a new fault and a surface depression are born.
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 01.11.2017, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Denis Belomestny, Universität DuisburgEssen:
Statistical inference for McKeanVlasovSDEs
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
McKeanVlasovSDEs provide a very rich modelling framework for large complex systems. They naturally appear in modelling and simulation of turbulent flows by fluidparticle method. In biomathematics, a McKeanVlasovSDE model for neuronal networks has been proposed. Although potentially very powerful, the lack of efficient statistical procedures prevents further expansion of these results into application areas. When proposing a McKeanVlasovSDE model, one of the main challenges is the appropriate choice of the coefficients. In this talk, we study the problem of the nonparametric estimation of the McKeanVlasov diffusion coefficients from lowfrequency observations.
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Monday, 30.10.2017, 14:00 (WIASESH)
 INSTITUTSKOLLOQUIUM
Prof. Dr. Leonid Berlyand, Pennsylvania State University, USA:
Hierarchy of PDE Models of Cell Motility
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We consider mathematical PDE models of motility of eukaryotic cells on a substrate and discuss them in a broader context of active materials. Our goal is to capture mathematically the key biological phenomena such as steady motion with no external stimuli and spontaneous breaking of symmetry. We first describe the hierarchy of PDE models of cell motility and then focus on two specific models: the phasefield model and the free boundary problem model. The phasefield model consists of the AllenCahn equation for the scalar phase field function coupled with a vectorial parabolic equation for the orientation of the actin filament network. The key mathematical properties of this system are (i) the presence of gradients in the coupling terms and (ii) the mass (volume) preservation constraints. These properties lead to mathematical challenges that are specific to active (out of equilibrium) systems, e.g., the fact that variational principles do not apply. Therefore, standard techniques based on maximum principle and Gammaconvergence cannot be used, and one has to develop alternative asymptotic techniques. The free boundary problem model consists of an elliptic equation describing the flow of the cytoskeleton gel coupled with a convectiondiffusion PDE for the density of myosin motors. This PDE system is of KellerSegel type but in a free boundary setting with nonlocal condition that involves boundary curvature. Analysis of this system allows for a reduction to a Liouville type equation which arises in various applications ranging from geometry to chemotaxis. This equation contains an additional term that presents an additional challenge in analysis. In the analysis of the above models our focus is on establishing the traveling wave solutions that are the signature of the cell motility. We also study breaking of symmetry by proving existence of nonradial steady states. Bifurcation of traveling waves from steady states is established via the Schauder's fixed point theorem for the phase field model and the LeraySchauder degree theory for the free boundary problem model. These results are obtained in collaboration with Jan Fuhrmann, M. Potomkin, and V. Rybalko.
Host
WIAS Berlin
 Wednesday, 25.10.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Joachim Rehberg, WIAS Berlin:
Explicit and uniform resolvent estimates for second order divergence operators on L^{p} spaces
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 25.10.2017, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Debarghya Ghoshdastidar, Universität Tübingen:
Twosample hypothesis testing for inhomogeneous random graphs
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this work, we consider the problem of testing between two populations of inhomogeneous random graphs dened on the same set of vertices. We are particularly interested in the highdimensional setting where the population size is potentially much smaller than the graph size, and may even be constant. It is known that this setting cannot be tackled if the separation between two models is quantied in terms of total variation distance. Hence, we study twosample testing problems where the separation between models is quantied by the Frobenius or operator norms of the dierence between the population adjacency matrices. We derive upper and lower bounds for the minimax separation rate for these problems. Interestingly, the proposed nearoptimal tests are uniformly consistent in both the large graph, small sample and small graph, large sample regimes. This is a joint work with Maurilio Gutzeit, Alexandra Carpentier and Ulrike von Luxburg.
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 24.10.2017, 15:15 (FU140)
 Oberseminar Nonlinear Dynamics
Carlos Rocha, Instituto Superior Técnico of Lisbon:
Global attractors for nonautonomous systems
more ... Location
Freie Universität Berlin, Arnimallee 7, 14195 Berlin, Hinterhaus, Raum: 140
Abstract
We survey the notions of global attractors for nonautonomous systems, and consider small nonautonomous perturbations of dynamical systems to discuss the resulting changes on the global attractors. We review the notion of MorseSmale dynamical system and extend this notion to the nonautonomous framework, based on a recent joint work with R. Czaja and W. Oliva.
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 24.10.2017, 13:45 (WIAS406)
 Seminar Materialmodellierung
Anna Zubkova, KarlFranzensUniversität Graz, Österreich:
Homogenization of the generalized PoissonNernstPlanck system with nonlinear interface conditions
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We consider the generalized system of nonlinear PoissonNernstPlanck equations, which describes concentrations of multiple charged particles with the overall electrostatic potential. It is modeled in terms of the Fickian multiphase diffusion law coupled with thermodynamic principles. The generalized model is supplied by volume and positivity constraints and quasiFermi electrochemical potentials depending on the pressure. The model describes a plenty of electrokinetic phenomena in physical and biological sciences. We examine nonlinear inhomogeneous transmission conditions describing electrochemical reactions on the interface in a periodic twophase medium. We aim at a proper variational modeling, wellposedness, and asymptotic analysis as well as homogenization of the model.
Host
WIAS Berlin
 Thursday, 19.10.2017, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Prof. Leo Rebholz, Clemson University, USA:
On conservation laws of NavierStokes Galerkin discretizations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We study conservation properties of Galerkin methods for the incompressible NavierStokes equations, without the divergence constraint strongly enforced. In typical discretizations such as the mixed finite element method, the conservation of mass is enforced only weakly, and this leads to discrete solutions which may not conserve energy, momentum, angular momentum, helicity, or vorticity, even though the physics of the NavierStokes equations dictate that they should. We aim in this work to construct discrete formulations that conserve as many physical laws as possible without utilizing a strong enforcement of the divergence constraint, and doing so leads us to a new formulation that conserves each of energy, momentum, angular momentum, enstrophy in 2D, helicity and vorticity (for reference, the usual convective formulation does not conserve most of these quantities). Several numerical experiments are performed, which verify the theory and test the new formulation.
Host
WIAS Berlin
 Wednesday, 18.10.2017, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Dr. Vladimir Spokoiny, WIAS Berlin:
Big ball probability with applications in statistical inference
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We derive the bounds on the Kolmogorov distance between probabilities of two Gaussian elements to hit a ball in a Hilbert space. The key property of these bounds is that they are dimensionalfree and depend on the nuclear (Schattenone) norm of the difference between the covariance operators of the elements. We are also interested in the anticoncentration bound for a squared norm of a noncentered Gaussian element in a Hilbert space. All bounds are sharp and cannot be improved in general. We provide a list of motivation examples and applications in statistical inference for the derived results as well. (joint with Götze, Naumov and Ulyanov)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
Universität Potsdam
 Tuesday, 17.10.2017, 15:15 (FU140)
 Oberseminar Nonlinear Dynamics
Dr. Jan Sieber, University of Exeter, UK:
Smooth center manifolds for delaydifferential equations
more ... Location
Freie Universität Berlin, Arnimallee 7, 14195 Berlin, Hinterhaus, Raum: 140
Abstract
Delaydifferential equations (DDEs) with statedependent delays are, as far as is known, at best continuously differentiable once as dynamical systems. That is, the timet map does not depend on its argument with a higher degree of smoothness than 1. However, as I will show, center manifolds near equilibria are still as smooth as expected from the spectral gap and from the smoothness of coefficients. In particular, I will review what precisely ßmoothness of coefficients" means.
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 17.10.2017, 15:00 (WIASESH)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Alexandra Suvorikova, WIAS Berlin:
Twosample test based on 2Wasserstein distance
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Monday, 16.10.2017, 14:00 (WIASESH)
 INSTITUTSKOLLOQUIUM
Dr. Shalva Amiranashvili, WIAS:
Negative frequency radiation in optical fibers
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Thursday, 12.10.2017, 10:30 (HU Berlin in Adlershof RUD25 Raum 2.417)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Dr. Stephan Schmidt, Universität Würzburg:
SQP methods for shape optimization based on weak shape Hessians
more ... Location
HumboldtUniversität zu Berlin, Rudower Chaussee 25, 12489 Berlin, JohannvonNeumannHaus, Raum 2.417
Abstract
Many PDE constrained optimization problems fall into the category of shape optimization, meaning the geometry of the domain is the unknown to be found. Most natural applications are drag minimization in fluid dynamics, but many tomography and image reconstruction problems also fall into this category. The talk introduces shape optimization as a special subclass of PDE constraint optimization problems. The main focus here will be on generating Newtonlike methods for large scale applications. The key for this endeavor is the derivation of the shape Hessian, that is the second directional derivative of a cost functional with respect to geometry changes in a weak form based on material derivatives instead of classical local shape derivatives. To avoid human errors, a computer aided derivation system is also introduced. The methodologies are tested on problem from fluid dynamics and geometric inverse problems.
Further Informations
Joint Research Seminar on Mathematical Optimization / Nonsmooth Variational Problems and Operator Equations
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 October 11 – 14, 2017 (WIASESH)
 Workshop/Konferenz: SPP 1962 Autumn School 2017 “Nonsmooth Structures in Mathematical Models”
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
There will be an autumn school on "Nonsmooth Structures in Mathematical Models" at the Weierstrass Institute in Berlin as part of the DFG SPP 1962. We will have three lecturer courses: 'Splitting algorithms in nonsmooth convex and nonconvex optimization' by Prof. Dr. Bot, 'Systems with rate independence: models, sensitivity, optimization' by Prof. Dr. Brokate, 'Problems with equilibrium constraints: Theory and numerics' by Prof. Dr. Outrata. More details of the program can be found at http://www.wiasberlin.de/workshops/sppsummerschool2017/program.jsp. The autumn school will start at 4pm on the 11th October and end around 12:30pm on the 14th October. This school is primarily intended for the doctoral and postdoctoral students. Interested parties may apply to register; the number of available places is limited so registration is mandatory for all and the deadline for registration is 30th August. There is no registration fee, however travel costs will not be paid. For full details and registration, please see http://www.wiasberlin.de/workshops/sppsummerschool2017/index.jsp.
Host
WIAS Berlin
DFG Schwerpunktprogramm 1962
 October 4 – 6, 2017 (WIASESH)
 Workshop/Konferenz: Homogenization Theory and Applications
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
SFB 1114: Scaling Cascades in Complex Systems
SFB 910 “Control of selforganizing nonlinear systems: Theoretical methods and concepts of application”
 Tuesday, 26.09.2017, 13:30 (WIASESH)
 Seminar Numerische Mathematik
Yuxue Ren, Dalian University of Technology, China:
On tetrahedralisations containing knotted and linked line segments
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
This talk considers a set of twisted line segments in 3d such that they form a knot (a closed curve) or a link of two closed curves. Such line segments appear on the boundary of a family of 3d indecomposable polyhedra (like the Schönhardt polyhedron) whose interior cannot be tetrahedralised without additional vertices added. On the other hand, a 3d (nonconvex) polyhedron whose boundary contains such line segments may still be decomposable as long as the twist is not too large. It is therefore interesting to consider the question: when there exists a tetrahedralisation contains a given set of knotted or linked line segments?
In this talk, we studied a simplified question with the assumption that all vertices of the line segments are in convex position. It is straightforward to show that no tetrahedralisation of 6 vertices (the threelinesegments case) can contain a trefoil knot. When the number of twisted line segments is larger than 3, it is necessary to create new interior edges to form a tetrahedralisation. We provided a detailed analysis for the case of a set of 4 twisted line segments. We show that the addition of a pair of new interior edges decomposes the original knot (or link) into two links (or knots) with less crossing numbers. This leads to a crucial condition on the orientation of pairs of new interior edges which determines whether this set is decomposable or not. We then prove a new theorem about the decomposability for a set of n (n ≥ 3) twisted line segments. This theorem implies that the family of polyhedra generalised from the Schönhardt polyhedron by Rambau are all indecomposable.
Host
WIAS Berlin
 Thursday, 21.09.2017, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Dr. Christoph Freysoldt, MaxPlanckInstitut für Eisenforschung, Düsseldorf:
Vortrag entfällt / Lecture not applicable
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Tuesday, 19.09.2017, 15:00 (WIASESH)
 Seminar Numerische Mathematik
Matteo Patriarca, University of Rome “Tor Vergata”, Italy:
Discontinuous finite element discretization for semiclassical particle transport
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In order to understand how semiconductor devices operate, it is very common to solve a Poisson equation coupled with driftdiffusion equations for electrons and holes. We present several discontinuous approaches to solving the Poisson equation: nonsymmetric interior penalty, lifting operator and a mixed approach among finite volume method and discontinuous Galërkin finite element method. We discuss the advantages and drawbacks of these approaches in order to extend the best discretization method to the driftdiffusion model. The stationary case is implemented in our software simulator TiberCAD. Simulation results are shown to highlight the problems encountered.
Host
WIAS Berlin
 Tuesday, 19.09.2017, 10:15 (WIASESH)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Sebastian Wolf, Technische Universität Berlin:
Tensor reconstruction
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Monday, 18.09.2017, 14:00 (WIASESH)
 Seminar Quantitative Biomedizin
Prof. Dominique Chapelle, Inria Saclay  Ile de France , Frankreich:
Biomechanical modeling of the heart, and cardiovascular system  From sarcomeres to organ/system, with experimental assessments and patientspecific clinical validations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Cardiac contraction originates at a subcellular  molecular, indeed  scale, within specific components of the cardiomyocytes (i.e. cardiac cells) called sarcomeres. This contractile behaviour then needs to be integrated at the organ level, namely, with a specific structure and shape. Furthermore, this organ crucially interacts with other physiological systems, the first of which being blood circulation via the cardiac function itself, and also the nervous system that controls the heart via various regulation mechanisms, and these interactions must be adequately represented in order to obtain accurate and predictive model simulations. This presentation will provide an overview of the recent advances on cardiac modeling achieved in the M3DISIM group, with a particular focus on the key multiscale, multiphysics and integrated system modeling aspects that need to be addressed, with many associated challenges pertaining to numerical methods, model validation, and inverse problems, in particular.
Host
WIAS Berlin
 Thursday, 14.09.2017, 15:00 (WIAS405406)
 Seminar Numerische Mathematik
Prof. Na Lei, Dalian University of Technology, China:
Quadrilateral and hexahedral mesh generation based on surface foliation theory
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstract
For the purpose of isogeometric analysis, one of the most common ways is to construct structured hexahedral meshes, which have regular tensor product structure, and fit them by volumetric TSplines. This theoretic work proposes a novel surface quadrilateral meshing method, colorable quadmesh, which leads to the structured hexahedral mesh of the enclosed volume for high genus surfaces. The work proves the equivalence relations among colorable quadmeshes, finite measured foliations and Strebel differentials on surfaces. This trinity theorem lays down the theoretic foundation for quadrilateral/hexahedral mesh generation, and leads to practical, automatic algorithms. The work proposes the following algorithm: the user inputs a set of disjoint, simple loops on a high genus surface, and specifies a height parameter for each loop; a unique Strebel differential is computed with the combinatorial type and the heights prescribed by the user?s input; the Strebel differential assigns a flat metric on the surface and decomposes the surface into cylinders; a colorable quadmesh is generated by splitting each cylinder into two quadrilaterals, followed by subdivision; the surface cylindrical decomposition is extended inward to produce a solid cylindrical decomposition of the volume; the hexahedral meshing is generated for each volumetric cylinder and then glued together to form a globally consistent hexmesh.
Host
WIAS Berlin
 Thursday, 14.09.2017, 14:00 (WIAS405406)
 Seminar Numerische Mathematik
Prof. Vladimir Garanzha, Russian Academy of Sciences, Moskau:
Construction of quasiisometric elastic deformations in mesh generation problems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstract
Theory of quasiisometric (QI) mappings allows to reformulate in unified terms the intuitive idea of quasiuniform meshes and presents natural multidimensional generalization of equidistribution principle. Suprisingly theory of QI mapping is not very rich. Rigorous results about existence of QI mappings are available only in 2d, see works by Reshetnyak, Bakelman, Bonk and Lang, Burago on parameterization of 2d manifolds of bounded curvature. In 2000 Garanzha suggested stored energy with guaranteed QI minimizer. Multidimensional "existence theorems" (Garanzha, 2005, 2010) essentially follow formulations of existence theorems of finite hyperelasticity due to John Ball: minimum of stored energy is attained on admssible mapping provided that at least one admissible mapping exists. It is not known how to find this initial admissible mapping. Another unsolved problem is lack of discrete convergence: one cannot prove that solution of discretized variational problem converges to exact minimizer. In order to construct QI mappings one has to solve continuation problem which minimizes certain evaluation of quasiisometry constant. While providing rigorous foundations and best results in terms of distortion, this aproach is too complicated for solving engineering problems. Simple solution to this problem is based on introducing spatial weight distributions which premultiply density of stored energy (distortion measure) and sharply increase in the zones where small distortion is required. Strategies for devising these weight functions are discussed as applied to construction of smooth and orthogonal boundary layer meshes with precise stretching control, to construction of prismatic mesh layer using elastic springback technique, to surface flattening and parameterization and to construction of adaptive meshes.
Host
WIAS Berlin
 September 13 – 15, 2017 (WIASESH)
 Workshop/Konferenz: Workshop on Mathematics of Deep Learning
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
Technische Universität Berlin
DFG Research Center MATHEON
DFG Research Unit 1735
DFG Research Unit 2402
 Thursday, 07.09.2017, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
NUSODHighlights:
Nachlese zur NUSOD 2017
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Thursday, 31.08.2017, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Clemens Bartsch, WIAS Berlin:
A mixed stochasticdeterministic approach to particles interacting in a flow
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We present a new approach to the solution of coupled particle population balance systems. Such population balance systems consist of particles transported by a moving fluid. The particles interact with each other and with the surrounding fluid. Population balance systems aim at keeping track of both particle and fluid quantities. In our approach, particleparticle interactions and particlefluid interactions are solved with a stochastic simulation algorithm, while a finite element flow solver is used for fluidfluid interactions. This bestoftwoworlds approach enables the efficient treatment even of such particlefluid systems, where the particles are described by multiple internal coordinates. A simulation of a flow crystallizer will be presented as a proof of concept.
Host
WIAS Berlin
 Tuesday, 29.08.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Alexander Zadorozhnyi, Universität Potsdam:
Concentration of weakly dependent Banachvalued sums and applications to kernel learning methods
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We obtain a new Bernsteintype inequality for sums of Banachvalued random variables satisfying a weak dependence assumption of general type and under certain smoothness assumptions of the underlying Banach norm. We use this inequality in order to investigate statistical rates of convergence for the broad family of spectral regularization methods for reproducing kernel decision rules, when trained on a sample coming from a stationary $tau$mixing process.
Host
WIAS Berlin
 Wednesday, 09.08.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Dr. Dongo Chae, ChungAng University, Korea:
On the blowup problem for the incompressible Euler equation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
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Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 02.08.2017, 16:00 (WIAS406)
 FG Stochastische Systeme mit Wechselwirkung
Prof. Dr. Alexander Drewitz, Universität zu Köln:
The maximal particle of branching RW in random branching environment
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We consider branching random walk in spatially random branching environment (BRWRE) in dimension one, as well as related differential equations: the FisherKPP equation with random branching and its linearized version the parabolic Anderson model (PAM). When the random environment is bounded, we show that after recentering and scaling, the position of the maximal particle of the BRWRE, the front of the solution of the PAM, as well as the front of the solution of the randomized FisherKPP equation fulfill quenched invariance principles. In addition, we prove that at time t the distance between the median of the maximal particle of the BRWRE and the front of the solution of the PAM is in O(ln t). This is joint work with Jiří Černý.
Host
WIAS Berlin
 Wednesday, 02.08.2017, 15:00 (WIAS406)
 FG Stochastische Systeme mit Wechselwirkung
Prof. Dr. Markus Kraft, University of Cambridge, GB:
Moment projection method for solving population balance equations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
A new moment method for solving the population balance equations is presented. The moment projection method (MPM) addresses the challenge of particle shrinkage due to processes such as oxidation, evaporation or dissolution and particle fragmentation. It directly solves the moment transport equation for the moments and tracks the number of the smallest particles using the algorithm by Blumstein and Wheeler. The new method was validated for particle inception, coagulation, condensation, growth, shrinkage and fragmentation. Different types of particle size distributions (PSDs) are supplied as an initial condition. Comparisons are made with the method of moments (MOM), hybrid method of moments, quadrature method of moments and a highprecision stochastic solution calculated using the established direct simulation algorithm (DSA). The results suggest that MPM shows improved performance compared to MOM, HMOM and QMOM in the treatment of shrinkage and fragmentation. The new method predicts mean quantities which are almost as accurate as the stochastic solution.
Host
WIAS Berlin
 Wednesday, 02.08.2017, 14:00 (WIAS406)
 FG Stochastische Systeme mit Wechselwirkung
Prof. Dr. Orazio Muscato, Università degli Studi di Catania, Italien:
The evergreen Wigner transport equation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Wednesday, 02.08.2017, 14:00 (WIAS406)
 FG Stochastische Systeme mit Wechselwirkung
Orazio Muscato, Università degli Studi di Catania, Italien:
The evergreen Wigner transport equation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 01.08.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Andzhey Koziuk, WIAS (Berlin):
Smooth representation of the Kolmogorov distance
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In this talk, we consider several types of accelerated randomized gradient methods: random directional search, random coordinate descent, randomized zeroorder method. Using the concept of inexact oracle, we present a generic theorem on the convergence rate for all the three methods. Despite their random nature, these methods have complexity with the same dependence on the desired accuracy of the solution as deterministic accelerated gradient method. Joint work with A. Gasnikov
Host
WIAS Berlin
 Wednesday, 26.07.2017, 13:15 (WIASESH)
 Seminar Nichtglatte Variationsprobleme und Operatorgleichungen
Prof. Hasnaa Zidani, ENSTA ParisTech, Frankreich:
Multiobjective control problems under state constraints
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Tuesday, 25.07.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Benjamin Stemper, WIAS Berlin:
Some thoughts on calibration under rough volatility via deep learning
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 July 24, 2017 (WIASESH)
 Workshop/Konferenz: Kolloquium zum Ruhestand von Dr. G. Schmidt
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Thursday, 20.07.2017, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Sabrina Pickartz, WIAS Berlin:
Cancellation of Raman selffrequency shift for compression of optical pulses
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Wednesday, 19.07.2017, 18:15 (WIASESH)
 Berliner Kolloquium Wahrscheinlichkeitstheorie/Berlin Young Probabilists' Seminar
Prof. Dr. Anton Bovier, Rheinische FriedrichWilhelmsUniversität Bonn:
Adaptive dynamics, diploid models, and the escape from selection
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Standard stochastic models of adaptive dynamics are based on haploid reproduction schemes. They are sometimes criticised for the difficulty to create genetic diversity. This can be traced to the fact that unless parameters are finetuned, times of fixation and extinctions are of the same order. We show that in diploid models, it fitter alleles are dominant, extinction times are dramatically increased. We show that, under reasonable assumptions, this can lead to the recovery of an initial unfit allele after the appearance of a second mutant allele, leading to the coexistence of two phenotypes without fintuning hypothesis. (joint work with Rebecca Neukirch and Loren Coquille)
Further Informations
Berliner Kolloquium Wahrscheinlichkeitstheorie
Host
HumboldtUniversität zu Berlin
Technische Universität Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 18.07.2017, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
JiaYuan Dai, Freie Universität Berlin:
Spiral waves in circular and spherical geometries. The GinzburgLandau paradigm
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We prove the existence of spiral waves for the complex GinzburgLandau equation in the circular and spherical geometries. Instead of applying the shooting method from the literature, we establish a functional approach and adopt global bifurcation analysis to solve the spiral wave elliptic equation. Moreover, we prove the existence of two new patterns: frozen spirals in the circular and spherical geometries and spiralpairs, that is, spirals with two tips, in the spherical geometry.
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 18.07.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Mario Maurelli, WIAS Berlin:
2D Stochastic Euler equations: Flow representation and vortex approximation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We consider two dimensional Euler equations (in vorticity form) for incompressible fluids, with a stochastic term of transporttype. Deterministic Euler equations in 2D can be associated with an ODE with nonlocal (mean field) way. We extend this interpretation to the stochastic case and we provide wellposedness and suitable particle approximation. This is based on joint works with Michele Coghi, Franco Flandoli and Zdzislaw Brzezniak.
Host
WIAS Berlin
 Tuesday, 18.07.2017, 13:30 (WIASESH)
 Seminar Numerische Mathematik
Dr. Dirk Peschka, WIAS Berlin:
Variational structure of viscous flows with contact line motion
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this talk I will present variational approach to the free boundary problem of fluid motion over solid and liquid substrates, focussing on algorithmic approaches for the treatment of contact line motion.
Host
WIAS Berlin
 Thursday, 13.07.2017, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Markus Kantner, WIAS Berlin:
Hybrid quantumclassical modeling of quantum dot devices
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Wednesday, 12.07.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar) & Seminar Materialmodellierung
Prof. Dr. Rodica Toader, University of Udine, Italy:
Existence for dynamic Griffith fracture with a weak maximal dissipation condition
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The study of dynamic fracture is based on the dynamic energydissipation balance. This condition is always satisfied by a stationary crack together with a displacement satisfying the system of elastodynamics. Therefore to predict crack growth a further principle is needed. We introduce a weak maximal dissipation condition that, together with elastodynamics and energy balance, provides a model for dynamic fracture, at least within a certain class of possible crack evolutions. In particular, we prove the existence of dynamic fracture evolutions satisfying this condition, subject to smoothness constraints, and exhibit an explicit example to show that maximal dissipation can indeed rule out stationary cracks. These results are obtained in collaboration with G. Dal Maso (SISSA) and C. Larsen (WPI).
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar) & Seminar Materialmodellierung
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 12.07.2017, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Wolfgang Polonik, University of California at Davis, USA:
Statistical topological data analysis: Rescaling the persistence diagram
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
A persistence diagram (PD) is one of the basic objects underlying topological data analysis. It is used to analyze topological and geometric features of an underlying space M, assuming availability of a random sample from M. Existing approaches for such analyses will be reviewed brie y, and their benets and shortcomings will be discussed. Then we introduce ideas for rescaling PDs, which enables the derivation of novel limit theorems for the total k persistence, and other functionals of PDs. The longterm goal of studying the rescaling of PDs is to develop novel types of statistical analysis of persistence diagrams.
Further Informations
Forschungsseminar “Mathematische Statistik”
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 11.07.2017, 10:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Chiheb Ben Hammouda, King Abdullah University of Science and Technology  KAUST, SaudiArabien, Königreich:
Multilevel hybrid splitstep implicit tauleap
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In biochemically reactive systems with small copy numbers of one or more reactant molecules, the dynamics is dominated by stochastic effects. To approximate those systems, discrete statespace and stochastic simulation approaches have been shown to be more relevant than continuous statespace and deterministic ones. In systems characterized by having simultaneously fast and slow timescales, existing discrete spacestate stochastic path simulation methods, such as the stochastic simulation algorithm (SSA) and the explicit tauleap (explicitTL) method, can be very slow. Implicit approximations have been developed to improve numerical stability and provide efficient simulation algorithms for those systems. Tn this talk, we propose an efficient Multilevel Monte Carlo (MLMC) method in the spirit of the work by Anderson and Higham (SIAM Multiscal Model. Simul. 10(1), 2012). This method uses splitstep implicit tauleap (SSITL) at levels where the explicitTL method is not applicable due to numerical stability issues. We present numerical examples that illustrate the performance of the proposed method.
Further Informations
Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Host
WIAS Berlin
 Monday, 10.07.2017, 14:00 (WIAS406)
 FG Stochastische Systeme mit Wechselwirkung
Prof. Dr. Francois Baccelli, University of Texas at Austin:
Stochastic Geometry and Queuing in Wireless Networks
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Stochastic Geometry allows one to statistically represent contention for spectrum in large wireless networks. It is based on the computation of spatial averages over a snapshot of the network state, which are not easy to interconnect with the time averages stemming from queuing dynamics. The aim of this lecture is to survey ongoing research on the mathematical interconnection of Stochastic Geometry and Queuing Theory in this wireless networking context. The survey will cover progress on the analysis of a fundamental model, which is the spatial queuing process where user service rates are determined by the interference field. It will also revisit the classical problem of multihop relaying queues in mobile networks, for which a new meanfield analysis will be discussed.
Host
WIAS Berlin
 Wednesday, 05.07.2017, 18:15 (TUBMA 041)
 Berliner Kolloquium Wahrscheinlichkeitstheorie/Berlin Young Probabilists' Seminar
Prof. Dr. Ilya Goldsheid, Queen Mary, University of London, GB:
Invariant Measure for Random Walks on Random Environments
more ... Location
Technische Universität, Straße des 17. Juni 136, 10623 Berlin, MA 041
Abstract
It is well known that a random walk in random environment on a strip in the "environment viewed from the particle" setting is a Markov chain on the set of environments. In this context, the fundamental question is that of the existence of the density of the invariant measure of this Markov chain with respect to the measure on the set of environments. In the case of the walk on a strip, it turns out to be possible to describe all positive subexponentially growing solutions of the corresponding invariant measure equation in the deterministic setting and then derive the necessary and sufficient conditions for the existence of the density when the environment is stationary and ergodic. This is a joint work with D. Dolgopyat.
Further Informations
Berliner Kolloquium Wahrscheinlichkeitstheorie
Host
HumboldtUniversität zu Berlin
Technische Universität Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 04.07.2017, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
Augusto Visintin, Università di Trento, Italy:
Compactness and structural stability of nonlinear flows
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 04.07.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Lars Ruthotto, Emory University, Atlanta, USA:
Stable architectures for deep neural networks
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Thursday, 29.06.2017, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Dr. Alexander Pimenov, WIAS Berlin:
Efficient simulation and analysis of multimode laser dynamics using timedelay models
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Wednesday, 28.06.2017, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Bernd Sturmfels, Max Planck Institute for Mathematics in the Sciences Leipzig, Germany:
Geometry of logconcave density estimation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We present recent work with Elina Robeva and Caroline Uhler that establishes a new link between geometric combinatorics and nonparametric statistics. It concerns shapeconstrained densities on dspace that are logconcave, with focus on the maximum likelihood estimator (MLE) for weighted samples. Cule, Samworth, and Stewart showed that the logarithm of the optimal logconcave density is piecewise linear and supported on a regular subdivision of the samples. This defines a map from the space of weights to the set of regular subdivisions of the samples, i.e. the face poset of their secondary polytope. We prove that this map is surjective. In fact, every regular subdivision arises in the MLE for some set of weights with positive probability, but coarser subdivisions appear to be more likely to arise than finer ones. To quantify these results, we introduce a continuous version of the secondary polytope, whose dual we name the Samworth body.
Host
WIAS Berlin
HumboldtUniversität zu Berlin
Universität Potsdam
 Tuesday, 27.06.2017, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
Igor Franovic, University of Belgrade, Serbia:
Bistability, rate oscillations and slow rate fluctuations in networks of noisy neurons with coupling delay
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Spontaneous activity of cortical neurons is typically characterized as a doublystochastic process, underlying two distinct forms of variability. While the local spiketrain variability is reflected on the fast timescale, the variability associated with much longer timescales involves macroscopic irregular fluctuations of the firing rate. The latter fluctuations apparently emerge by coherent switching of neurons between the ?up? and ?down? states of membrane potential, and are believed to play important functional roles. In order to gain qualitative insight into the mechanisms behind such switching phenomena, we consider a random network of ratebased neurons influenced by external and internal noise, as well as the coupling delay. The network behavior is analyzed by deriving the secondorder stochastic meanfield model, which describes the network dynamics in terms of the meanrate and the associated variance. The meanfield model is used to study the stability and bifurcations in the thermodynamic limit, as well as the fluctuations due to the finitesize effect. For the thermodynamic limit, it is established that (i) the network may exhibit coexistence between two stationary levels in a wide range of parameters, whereby the two types of noise affect the levels in a fundamentally different fashion, and (ii) coupling delay may give rise to oscillations of the meanrate. The slow rate fluctuations are demonstrated to emerge via two distinct scenarios. In the delayfree case, the leading mechanism can be seen as noiseinduced transitions between two metastable states, quite reminiscent to fluctuations of a particle in a doublewell potential. In the second scenario, which involves the cooperative action of noise and delay, the fluctuations can be interpreted as stochastic mixing between two different oscillatory regimes.
Further Informations
Oberseminar Nonlinear Dynamics
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 27.06.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Cassandra Uebel, Humboldtuniverstiät zu Berlin:
Variable selection with hamming loss
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 27.06.2017, 10:15 (WIASESH)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Markus Mäck, Universität Stuttgart:
Numerical implementation of Fuzzy arithmetic in uncertainty analysis
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Monday, 26.06.2017, 15:15 (WIASESH)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Prof. Dr. Michael Hanss, Universität Stuttgart:
Fuzzy arithmetic and probability theory in uncertainty analysis  Unity in diversity
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Thursday, 22.06.2017, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Dr. Carsten Brée, WIAS:
Feedbackoperator for a photonic crystal in the external cavity of a broad area laser diode
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Thursday, 22.06.2017, 10:00 (WIASESH)
 Seminar Laserdynamik
Sebastian Eydam, WIAS Berlin:
Phase oscillator modelocking
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Seminar Laserdynamik
Host
WIAS Berlin
 Thursday, 22.06.2017, 09:30 (HU Berlin in Adlershof RUD25 Raum 2.417)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Caroline Löbhard, WIAS:
An adaptive spacetime discretization for parabolic optimal control problem with state constraints
more ... Location
HumboldtUniversität zu Berlin, Rudower Chaussee 25, 12489 Berlin, JohannvonNeumannHaus, Raum 2.417
Abstract
We present a spacetime discretization which is based on a reformulation of the stationarity conditions of a MoreauYosida regularized parabolic optimal control problem, which involves only the state variable. The resulting nonlinear partial differential equation is of fourth order in space, and of second order in time. In order to cope with the disbalance of regularity of the respective solutions, we develop a taylored discontinuous Galerkin scheme and derive convergence rates in the mesh size as well as an integrated update strategy for the regularization parameter related to the state constraints. We also propose an adaptive mesh refinement strategy and illustrate the performance of our method in numerical test cases.
Further Informations
Joint Research Seminar on Mathematical Optimization / Nonsmooth Variational Problems and Operator Equations
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 21.06.2017, 15:30 (WIASHVP4.13)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Mattia Bongini, Barcelona Graduate School of Economics:
Optimal Control Problems in Transport Dynamics
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 4. Etage, Raum: 4.13
Abstract
In this talk we shall discuss several results concerning the "indirect control of populations", i.e., how to influence a group of individuals by means of external agents with a directly controlled dynamics. By using the general theory of functionals defined on spaces of measures, we give sufficient conditions for the existence of optimal control strategies and then we present a Pontryagin Maximum Principle for such controls in the form of an Hamiltonian flow in the Wasserstein space of probability measure. Finally, we present an application of the above framework to the evacuation problem of a crowd from an unknown environment with the help of undercover stewards.
Host
WIAS Berlin
 Wednesday, 21.06.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Dr. Jan Prüß, MartinLutherUniversität HalleWittenberg:
Critical spaces for quasilinear evolution equations and applications
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In the last decades, considerable effort in pde's has been put into finding the most general spaces of Initial data such that a given nonlinear pde is wellposed. So far, this has been achieved with case studies, each equation has ist own theory. Moreover, the available proofs in the literature are usually arkwardly involved, sometimes going even into the miscroscopic theory of the relevant spaces, in most cases Besov spaces. In my talk, I present an abstract approach in the framework of parabolic evolution equations relying on maximal L_{p}regularity in time weighted L_{p}spaces. This approach easily recovers many known results in applications, for example for the NavierStokes equation, the KellerSegal equations, quasigeostrophic equations, and many others, but also leads in a direct, smooth way to new results, e.g. for the vorticity equations.
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 21.06.2017, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Denis Chetverikov, University of California, Los Angeles, USA:
On crossvalidated lasso
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this paper, we derive a rate of convergence of the Lasso estimator when the penalty parameter $lambda$ for the estimator is chosen using $K$fold crossvalidation; in particular, we show that in the model with the Gaussian noise and under fairly general assumptions on the candidate set of values of $lambda$, the prediction norm of the estimation error of the crossvalidated Lasso estimator is with high probability bounded from above up to a constant by $(slog p /n)^1/2cdot log^7/8(p n)$, where $n$ is the sample size of available data, $p$ is the number of covariates, and $s$ is the number of nonzero coefficients in the model. Thus, the crossvalidated Lasso estimator achieves the fastest possible rate of convergence up to a small logarithmic factor $log^7/8(p n)$. In addition, we derive a sparsity bound for the crossvalidated Lasso estimator; in particular, we show that under the same conditions as above, the number of nonzero coefficients of the estimator is with high probability bounded from above up to a constant by $slog^5(p n)$. Finally, we show that our proof technique generates nontrivial bounds on the prediction norm of the estimation error of the crossvalidated Lasso estimator even if the assumption of the Gaussian noise fails; in particular, the prediction norm of the estimation error is with highprobability bounded from above up to a constant by $(slog^2(p n)/n)^1/4$ under mild regularity conditions.(The authors are Denis Chetverikov, Zhipeng Liao, and Victor Chernozhukov.)
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 20.06.2017, 10:45 (WIASESH)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Dimitrios Loukrezis, Technische Universität Darmstadt:
Lowrank tensor decompositions for highdimensional uncertainty quantification in electromagnetic field problems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Tuesday, 20.06.2017, 10:15 (WIASESH)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Dr. Ulrich Römer, Technische Universität Darmstadt:
Stochastic collocation with adjoint error control for uncertainty quantification in computational electromagnetics
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Thursday, 15.06.2017, 16:00 (WIASHVP3.13)
 Forschungsseminar Mathematische Modelle der Photonik
Anissa Zheguzi, FerdinandBraunInstitut Berlin:
Simulations of broad area highpower lasers with optical feedback
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 3. Etage, Raum: 3.13
Host
WIAS Berlin
 Wednesday, 14.06.2017, 10:00 (WIASHVP4.13)
 Forschungsseminar Mathematische Statistik
Prof. JeanMichel Loubes, Université Toulouse Paul Sabatier, Frankreich:
Kantorovich distance based kernel for Gaussian processes : Estimation and forecast
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 4. Etage, Raum: 4.13
Abstract
MongeKantorovich distances, otherwise known as Wasserstein distances, have received a growing attention in statistics and machine learning as a powerful discrepancy measure for probability distributions. Here, we focus on forecasting a Gaussian process indexed by probability distributions. For this, we provide a family of positive definite kernels built using transportation based distances. We provide a probabilistic understanding of these kernels and characterize the corresponding stochastic processes. We prove that the Gaussian processes indexed by distributions corresponding to these kernels can be efficiently forecast, opening new perspectives in Gaussian process modeling
Host
WIAS Berlin
HumboldtUniversität zu Berlin
Universität Potsdam
 Tuesday, 13.06.2017, 15:00 (WIASHVP4.13)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Alexandra Suvorikova, WIAS Berlin:
Detection of structural breaks in complex data
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 4. Etage, Raum: 4.13
Abstract
In this talk we discuss two approaches to detection of structural breaks in complex data. We focus on the online mode, where a structural break in a running stochastic process should be detected as soon as possible under constraint on a given in advance falsealarm rate. We exploit a framework, that is common for the solution of problems of this type, namely the hypothesis testing in a scrolling window. The first approach relies on the quasi likelihoodratio test. The second part of the present work considers the case, when observed data set comes from a space of probability measures with finite second moments endowed with 2 Wasserstein distance.
Host
WIAS Berlin
 Monday, 12.06.2017, 14:00 (WIASESH)
 Seminar Quantitative Biomedizin
Professor Tobias Schäffter, PhysikalischTechnische Bundesanstalt Berlin:
Advances in Cardiac and Quantitative MRI
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Cardiac Magnetic Resonance (CMR) imaging has become a clinically useful tool to assess different physiological parameter in one examination. The widespread use of cardiac MRI, however, is often hampered by the complexity of MRI and the long acquisition time. For this novel, 3D MRacquisitions have been developed to obtain anatomical, functional and flow information of the whole heart. Fast acquisition can be achieved by advanced motion compensation and new reconstruction approaches. Furthermore, a more quantitative oriented diagnosis can be achieved by pixelwise measurement of parameters. For instance, mapping of the relaxation times allows the assessment of tissue characteristics and the estimation of contrast agent concentration. In this talk an overview on the different technical developments are given and clinical applications are shown.
Host
WIAS Berlin
 Wednesday, 07.06.2017, 18:15 (WIASESH)
 Berliner Kolloquium Wahrscheinlichkeitstheorie/Berlin Young Probabilists' Seminar
Prof. Dr. Stefan Adams, University of Warwick, GB:
Large deviations and concentration of scaling limits for weakly pinned integrated random walks
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We study scaling limits and corresponding large deviation principles of integrated random walks perturbed by an attractive force towards the origin. In particular we analyse the critical situation that the rate function admits more than one minimiser leading to concentration of measure problems. The integrated random walk models are in fact interface models with Laplacian interaction, and such linear chain models with Laplacian interaction appear naturally in the physical literature in the context of semiflexible polymers. We discuss these connections as well as the ones with the related gradient models. These random fields are a class of model systems arising in the studies of random interfaces, critical phenomena, random geometry, field theory, and elasticity theory. If time permits we outline basic techniques and give an overview about future research projects in this area.
Further Informations
Berliner Kolloquium Wahrscheinlichkeitstheorie
Host
HumboldtUniversität zu Berlin
Technische Universität Berlin
Universität Potsdam
WIAS Berlin
 Wednesday, 07.06.2017, 15:15 (WIAS406)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Thomas Frenzel, WIAS Berlin:
EDPconvergence for a wiggly energy model
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Tuesday, 06.06.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Martin Eigel, WIAS Berlin:
Samplingfree solution of stochastic forward and inverse problems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We consider two typical problem classes of UQ: PDEs with random data and Bayesian inversion for these random models. Opposite to classical stochastic approaches, spectral (functional) methods allow for a samplingfree explicit evaluation of probability densities. The formulation is amenable to modern model reduction techniques such as hierarchical tensor approximations and allows for an adaptive error control.
Host
WIAS Berlin
 Thursday, 01.06.2017, 16:00 (WIAS406)
 Forschungsseminar Mathematische Modelle der Photonik
Franziska Bierbüsse, HumboldtUniversität zu Berlin:
Ultrashort dark solitons in the context of the short pulse equation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Thursday, 01.06.2017, 14:00 (WIAS405406)
 Seminar Numerische Mathematik
Dr. Sashikumaar Ganesan, Indian Institute of Science, Bangalore:
Stabilized threefield formulation of viscoelastic fluid flows
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstract
Viscoelastic flows can be found in a wide range of industrial and commercial applications such as enhanced oil recovery, pesticide deposition, medicinal/pharmaceutical sprays, drug delivery, injection molding, polymer melts, inkjet printing, additive manufacturing, cosmetics industry and food processing. Computations of viscoelastic fluid flows involve simultaneous solutions of the conformation stress tensor equation together with the momentum and mass balance equations. The constitutive equation is advection dominant at high Weissenberg numbers, which necessitates the use of stabilized numerical schemes to avoid local and global oscillations in the numerical solution. The common stabilization schemes used in the context of finite element computations of viscoelastic fluid flows in the literature are Streamlineupwind/PetrovGalerkin (SUPG), discontinuous Galerkin (DG), discrete Elastic Viscous Stress Splitting (DEVSS) [1], Galerkin Least Square (GLS) [2] and Variational Multiscale method (VMS) [3].
In this talk, a threefield formulation based on the onelevel Local Projection Stabilization (LPS) [4, 5] will be presented for computations of OldroydB viscoelastic fluid flows with high Weissenberg numbers. Onelevel LPS is based on the enriched approximation space and the discontinuous projection space, where both spaces are defined on the same mesh. It allows us to use equal order interpolation spaces for the velocity and viscoelastic stress, whereas infsup stable finite elements are used for the velocity and pressure. Further, the coupled system of equations are solved in a monolithic approach. Since LPS stabilization terms are assembled only once, the proposed numerical scheme is computationally efficient in comparison with residual based methods. Numerical studies that show optimal order of convergence in the respective norms will be presented. Further, the numerical results of two benchmark problems: flow past a cylinder in a wide channel and liddriven cavity flow will be given. Moreover, the effects of elasticity and inertia on the flow dynamics will be discussed.
References:
[1] R. Guenette, A. Fortin, A new mixed finite element method for computing viscoelastic flows, J. NonNewtonian Fluid Mech., 60 (1995), 2752.
[2] O. M. Coronado, D. Arora, M. Behr, M. Pasquali, Fourfield Galerkin/leastsquares formulation for viscoelastic fluids, J. NonNewtonian Fluid Mech., 140 (2006), 132144.
[3] E. Castillo, R. Codina, Variational multiscale stabilized formulation for the stationary threefield incompressible viscoelastic flow problem, Comput. Methods Appl. Mech. Engrg., 279 (2014), 579605.
[4] G. Matthies, P. Skrzypacz, L. Tobiska, A unified convergence analysis for local projection stabilisations applied to the oseen problem, M2AN Math. Model. Numer. Anal., 41 (2007), 713742.
[5] S. Ganesan, G. Matthies, L. Tobiska, Local projection stabilization of equal order interpolation applied to the Stokes problem, Math. Comp., 77 (2008), 20392060.
Host
WIAS Berlin
 Wednesday, 31.05.2017, 13:15 (WIASHVP4.13)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Jo Andrea Brueggemann, HumboldtUniversität zu Berlin:
Solution methods for a contact model motivated by the human heart's pericardium
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 4. Etage, Raum: 4.13
Abstract
Introducing a function space description of the contact within the human heart's pericardium, in this talk, we will study a relaxation of the latter. The quasivariational inequality (QVI) in the focus of interest is attacked with a fixedpoint approach and the hereby arising sequence of variational problems can be efficiently solved with a pathfollowing semismooth Newton method.
Host
WIAS Berlin
 Wednesday, 31.05.2017, 10:00 (WIAS406)
 Forschungsseminar Mathematische Statistik
Prof. Juan Carlos Escanciano, Indiana University Bloomington, USA:
Quantileregression inference with adaptive control of size
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Regression quantiles have asymptotic variances that depend on the conditional densities of the response variable given regressors. This paper develops a new estimate of the asymptotic variance of regression quantiles that leads any resulting Waldtype test or condence region to behave as well in large samples as its infeasible counterpart in which the true conditional response densities are embedded. We give explicit guidance on implementing the new variance estimator to control adaptively the size of any resulting Waldtype test. Monte Carlo evidence indicates the potential of our approach to deliver condence intervals for quantile regression parameters with excellent coverage accuracy over dierent quantile levels, datagenerating processes and sample sizes. We also include an empirical application. Supplementary material is available online.
Further Informations
Forschungsseminar “Mathematische Statistik”
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 30.05.2017, 15:15 (WIASHVP3.13)
 Oberseminar Nonlinear Dynamics
Phillipo Lappicy, Free University Berlin:
Einstein constraints: A dynamical approach
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 3. Etage, Raum: 3.13
Abstract
The Einstein constraint equations describe the space of initial data for the evolution equations, dictating how space should curve within spacetime. Under certain assumptions, the constraints reduce to a scalar quasilinear parabolic equation on the sphere, and nonlinearity being the prescribed scalar curvature of space. We focus on selfsimilar solutions of Schwarzschild type, which describe the space of initial data of certain black holes, for example. The first main result gives a detailed study of the axially symmetric solutions, since the domain is now one dimensional and nodal properties can be used to describe certain asymptotics of the rescaled selfsimilar solutions. Such asymptotics describe the possible metrics arising at an event horizon of a black hole, depending on the metric inside the horizon. Those are described by Sturm attractors. In particular, we compute an example for a prescribed scalar curvature. The second main result states a symmetrization property of certain metrics in the event horizon, namely, how the symmetry of the spherical domain can influence the symmetry of solutions.
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 30.05.2017, 15:00 (WIASESH)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Paul Fischer, HumboldtUniversität zu Berlin:
Overview of the paper "Estimating the cluster tree of a density by analyzing the minimal spanning tree of a sample" by Werner Stuetzle
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Tuesday, 30.05.2017, 14:00 (WIASHVP)
 Seminar Materialmodellierung
Prof. Ciro Visone, Università del Sannio  Benevento, Italien:
The applicative challenges of Smart Materials: From Sensing to Harvesting
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 4. Etage, Raum: 4.01
Abstract
The talk would provide a view on functional materials observed and employed at the macroscale. Starting from the most known MultiFunctional materials, a common modeling approach, based on the definition of constitutive relationships, is discussed. Examples on the effectiveness of the constitutive equations in the analysis and design problems in engineering is illustrated, along with the basic challenges arising when these materials are of concern. Further, the statement of consistent constitutive relationships when rateindependent memory processes (hysteresis) are considered is also carried out, through the definition of models for multiinput/multioutput systems that formally satisfy the Duhem inequality. Practical examples and specific applications are also proposed.
Host
WIAS Berlin
 Tuesday, 30.05.2017, 13:30 (WIASESH)
 Seminar Numerische Mathematik
Prof. Carsten Gräser, Freie Universität Berlin:
Solving nonsmooth PDEs in Dune
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The design of efficient numerical software for the solution of PDEs is a challenging task because different applications may have very different requirements. As a consequence a large set of libraries has been developed, each with its own focus but in general not compatible with each other.
The central idea of the Dune (distributed unified numerics environment) framework is to change the perspective and to design interfaces that allow to represent a large range of different implementations. This idea is applied on many scales leading to a broad spectrum of interfaces ranging from low level grid operations to high level simulation and code generation frameworks. Based on these principle Dune has evolved to a modular and flexible framework with constantly growing user base and a developer group spread over many institutions.
The talk consists of two parts: The first part will present the Dune framework while the second part briefly outlines how this is used to solve nonsmooth PDEs originating e.g. from applications in material science and biomechanics with state of the art multigrid methods.
Host
WIAS Berlin
 May 29 – June 2, 2017 (WIASESH)
 Workshop/Konferenz: CRC 1114 Spring School: Methods for Particle Systems with Multiple Scales
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
SFB 1114: Scaling Cascades in Complex Systems
 Wednesday, 24.05.2017, 18:15 (WIASESH)
 Berliner Kolloquium Wahrscheinlichkeitstheorie/Berlin Young Probabilists' Seminar
Prof. Dr. Christof Külske, RuhrUniversität Bochum:
Continuous spin models on annealed random graphs: Modifying the modified meanfield exponents
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We study Gibbs distributions of continuous spins on generalized random graphs. Our main interest lies in the critical behavior of models which show a second order phase transition. We find critical exponents which differ from the mean field exponents when the weight distribution of the generalized random graph becomes too heavytailed. For the Ising model this has been proved to occur by Dommers, van der Hofstad, Giardina, and others very recently (CMP 2016). For continuous spins we show in the present analysis that the same modified meanfield exponents known from the Ising model, but also even new universality classes of modified exponents may appear. Joint work with Sander Dommers and Philipp Schriever
Host
HumboldtUniversität zu Berlin
Technische Universität Berlin
Universität Potsdam
WIAS Berlin
 Wednesday, 24.05.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. D. R. Michiel Renger, WIAS Berlin:
Functions of bounded variation with Banach codomains
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 24.05.2017, 13:15 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Hongpeng Sun, Renmin University of China, Institute for Mathematical Sciences, China, Volksrepublik:
Weak convergence of proximal ADMM and its relaxations in Hilbert spaces
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
ADMM (Alternating Direction Method of Multipliers) is a popular first order method for mathematical imaging and inverse problems. However, the weak convergence of ADMM in infinite dimensional spaces is not clear yet, which is different from the classical Augmented Lagrangian Method. We will discuss the weak convergence of ADMM and its proximal variants with relaxations in Hilbert spaces.
Further Informations
Joint Research Seminar on Mathematical Optimization / Nonsmooth Variational Problems and Operator Equations
Host
WIAS Berlin
 Wednesday, 24.05.2017, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Claudia Kirch, Universität Magdeburg:
Frequency domain likelihood approximations for time series bootstrapping and bayesian nonparametrics
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
A large class of time series methods are based on a Fourier analysis, which can be considered as a whitening of the data, giving rise for example to the famous Whittle likelihood. In particular, frequency domain bootstrap methods have been successfully applied in a large range of situations. In this talk, we will rst review existing frequency domain bootstrap methodology for stationary time series before generalizing them for locally stationary time series. To this end, we rst introduce a moving Fourier transformation that captures the timevarying spectral density in a similar manner as the classical Fourier transform does for stationary time series. We obtain consistent estimators for the local spectral densities and show that the corresponding bootstrap time series correctly mimics the covariance behavior of the original time series. The approach is illustrated by means of some simulations and an application to a wind data set. All time series bootstrap methods are implicitely using a likelihood approximation, which could be used explicitely in a Bayesian nonparametric framework for time series. So far, only the Whittle likelihood has been used in this context to get a nonparametric Bayesian estimation of the spectral density of stationary time series. In a second part of this talk we generalize this approach based on the implicit likelihood from the autoregressive aided periodogram bootstrap introduced by Kreiss and Paparoditis (2003). This likelihood combines a parametric approximation with a nonparametric correction making it particularly attractive for Bayesian applications. Some theoretic results about this likelihood approximation including posterior consistency in the Gaussian case are given. The performance is illustrated in simulations and an application to LIGO gravitational wave data.
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 23.05.2017, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
Dr. Pavel Gurevich, Freie Universität Berlin:
A short introduction to machine learning: Towards (un)certainty quantification
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Machine learning is a rapidly developing field that deals with searching for and generating patterns in data. It is nowadays a very broad field encompassing many tasks and methods. In my talk, I will give a short overview, rapidly narrowing my focus towards a particular topic, namely, neural networks and their ability not only to find patterns but also quantify how certain they are in doing so. If time permits, I will conclude with a discussion of our joint work with Hannes Stuke on certainty quantification.
Host
WIAS Berlin
Freie Universität Berlin
 Tuesday, 23.05.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Prof. Archil Gulisashvili, Ohio University, USA:
Extremestrike asymptotics for general Gaussian stochastic volatility
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 23.05.2017, 11:00 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Robert Gruhlke, WIAS Berlin:
Analysis and Numerics of a Hardy problem featuring an inverse square point potential
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 May 23, 2017 (WIASHVP3.13)
 Workshop/Konferenz: Leibniz MMS Mini Workshop on Mathematical Aspects in Linguistics
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 3. Etage, Raum: 3.13
Host
WIAS Berlin
 Monday, 22.05.2017, 14:00 (WIASESH)
 Seminar Quantitative Biomedizin
Dr. Ralf Blossey, University of Lille 1 & CNRS, Frankreich:
Beyond PoissonBoltzmann: Charge correlation effects in DNA adsorption and transport through nanopores
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In soft matter systems electrostatic effects are often of utmost importance. Their mathematical description is commonly based on meanfield type theories, the standard approach being the PoissonBoltzmann equation. This equation is known to fail if charge correlation effects, e.g., due to the presence of image charges at interfaces, become important. In this talk I will explain how one can go beyond the PoissonBoltzmann equation in order to treat such mechanisms. As two exemplary applications I will discuss the correlationinduced adsorption of DNA on likecharged surfaces and the conversion of ionic currents in DNA translocation through nanopores.
Host
WIAS Berlin
 May 18, 2017 – May 20, 2016 (WIASESH)
 Workshop/Konferenz: 7th Annual ERC BerlinOxford Young Researchers Meeting on Applied Stochastic Analysis
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
European Research Council
 May 18 – 20, 2017 (WIASESH)
 Workshop/Konferenz: 7th Annual ERC BerlinOxford Young Researchers Meeting on Applied Stochastic Analysis
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
European Research Council
WIAS Berlin
 Wednesday, 17.05.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar) & Seminar Materialmodellierung
Dr. Riccarda Rossi, Università di Brescia, Italien:
In Between Energetic and Balanced Viscosity solutions of rateindependent systems: The ViscoEnergetic concept, with some applications to solid mechanics
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
This talk focuses on weak solvability concepts for rateindependent systems. ViscoEnergetic solutions have been recently obtained by passing to the timecontinuous limit in a timeincremental scheme, akin to that for Energetic solutions, but perturbed by a `viscous' correction term, as in the case of Balanced Viscosity solutions. However, for ViscoEnergetic solutions this viscous correction is tuned by a fixed parameter. The resulting solution notion is characterized by a stability condition and an energy balance analogous to those for Energetic solutions, but, in addition, it provides a fine description of the system behavior at jumps as Balanced Viscosity solutions do. ViscoEnergetic evolution can be thus thought as `inbetween' Energetic and Balanced Viscosity evolution. We will explore these aspects in a general metric framework. We will then illustrate the application of the ViscoEnergetic concept to models for damage and finitestrain plasticity. Joint work with Giuseppe Savaré.
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 17.05.2017, 09:30 (WIAS406)
 Halbleiterseminar
Dr. Sina Reichelt, WIAS:
Pulses in FitzHughNagumo systems with periodic coefficients
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
 Tuesday, 16.05.2017, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
Hannes Stuke, Freie Universität Berlin:
Parabolic blowup in complex time
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In my talk I will give an overview of my research on parabolic differential equations and blowup. Blowup denotes the phenomenon, when solutions diverge to infinity. By considering complex time we try to establish a connection between two opposed worlds: on the one hand bounded solutions, in particular equilibria and heteroclinic orbits and on the other hand blowup in equations with entire nonlinearities.
Host
WIAS Berlin
Freie Universität Berlin
 Thursday, 11.05.2017, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Dr. Mindaugas Radziunas, WIAS Berlin:
A multimode delay differential equation model for lasers with optical feedback
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Wednesday, 10.05.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Marion Dziwnik, WIAS Berlin:
The role of degenerate mobilities in CahnHilliard models
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 10.05.2017, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Marco Cuturi, École Nationale de la Statistique et de l'Administration Économique, Frankreich:
A review of regularized optimal transport and applications to Wasserstein barycenters
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Wednesday, 10.05.2017, 09:30 (WIAS406)
 Halbleiterseminar
Dr. Joachim Rehberg, WIAS Berlin:
Van Roosbroeck's system is wellposed in case of general recombination terms
Part II: The analysis of the system
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
 Tuesday, 09.05.2017, 15:30 (WIASHVP4.13)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Professor Kazufumi Ito, North Carolina State University, USA:
Value function calculus and Applications
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 4. Etage, Raum: 4.13
Abstract
In this talk the sensitivity analysis is discussed for the parameterdependent optimization. The sensitivity of the optimal value function with respect to the change in parameters plays a significant role in the optimization theory, including economics, finance, the HamiltonJacobi theory, the infsup duality and the structural design and the bilevel optimization. We develop the calculus for the value function and present its applications in the variational calculus, the bilevel optimization and the optimal control and optimal design and inverse problems.
Host
WIAS Berlin
 Tuesday, 09.05.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Prof. Andrey Sobolevskiy, Russian Academy of Sciences, IITP, Moscow:
The HamiltonJacobi equation: Parallel transport in the 2Wasserstein space and beyond
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
The HamiltonJacobi equation with quadratic Hamiltonian describes parallel transport in the 2Wasserstein space of measures. While geodesics in Wasserstein spaces arise as solutions to twopoint boundary value problem, the natural setting for the HamiltonJacobi equation is an initial value problem. We will describe the corresponding dynamics for measures, first constructed by Ilya Bogaevski for the quadratic Hamiltonian, and its extension to a general convex Hamiltonian due to Konstantin Khanin and the speaker.
Host
WIAS Berlin
 Tuesday, 09.05.2017, 14:15 (WIASESH)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Ahmad Ali, Universität Hamburg:
Global minima for semilinear optimal control problems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Tuesday, 09.05.2017, 14:00 (WIAS406)
 Seminar Materialmodellierung
Dr. Mathias Schäffner, Technische Universität Dresden:
Stochastic homogenization of discrete energies with degenerate growth
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We present a discretetocontinuum analysis for lattice systems with random interactions. In particular, we assume that the interaction potentials satisfy polynomial growth conditions which degenerate and are given in terms of certain weight functions. Under suitable moment conditions on the weight functions and stationarity/ergodicity assumptions for the interaction potentials, we prove that the discrete energy Gammaconverges almost surely to a deterministic, homogeneous and nondegenerate integral functional. This is joint work with S. Neukamm (TU Dresden) and A. Schlömerkemper (U Würzburg)
Further Informations
Seminar “Materialmodellierung”
Host
WIAS Berlin
 Tuesday, 09.05.2017, 13:00 (WIAS406)
 Seminar Materialmodellierung
Dr. Martin Slowik, Technische Universität Berlin:
Random conductance model in a degenerate ergodic environment
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Consider a continuous time random walk on the Euclidean lattice $mathbbZ^d$ in an environment of random conductances taking values in $[0, infty)$. The law of the environment is assumed to be ergodic with respect to space shifts and satisfies some moment conditions. In this talk, I will review old and discuss recent results on quenched invariance principles (an instance of stochastic homogenization in path space), local limit theorems as well as heat kernel estimates for this Markov process. This is joint work with Sebastian Andres (Univ. Cambridge), JeanDominique Deuschel (TU Berlin) and Tuan Ahn Nguyen (TU Berlin).
Host
WIAS Berlin
 Tuesday, 09.05.2017, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Dr. Oliver Lass, Technische Universität Darmstadt:
Nonlinear robust optimization and model order reduction with application to electric motor design
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Friday, 05.05.2017, 14:15 (WIASESH)
 Seminar Nichtglatte Variationsprobleme und Operatorgleichungen
Dr. Behzad Azmi, Universität Graz, Österreich:
On the stabilizability of infinite dimensional systems via receding horizon control
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
One efficient strategy for dealing with optimal control problems on an infinite time horizon is the receding horizon framework. In this approach, an infinite horizon optimal control problem is approximated by a sequence of finite horizon problems in a receding horizon fashion. Stability is not generally ensured due to the use of a finite prediction horizon. Thus, in order to ensure the asymptotic stability of the controlled system, additional terminal cost functions and/or terminal constraints are often needed to add to the finite horizon problems. In this presentation, we are concerned with the stabilization of several classes of infinitedimensional controlled systems by means of a Receding Horizon Control (RHC) scheme. In this scheme, no terminal costs or terminal constraints are used to ensured the stability. The key assumption is the stabilizability of the underlying system. Based on this condition the suboptimality and stability of RHC are investigated. To justify the applicability of this framework, we consider controlled systems governed by different types of partial differential equations. Numerical examples are presented as well.
Further Informations
Seminar RG 8
Host
WIAS Berlin
 Thursday, 04.05.2017, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Dr. Dirk Peschka, WIAS Berlin:
Gradient structure for optoelectronic models of semiconductors
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Thursday, 04.05.2017, 10:15 (WIASESH)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Prof. Dr. Elisabetta Rocca, Università degli Studi di Pavia, Italien:
Optimal control in diffuse interface models of tumor growth
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Thursday, 04.05.2017, 09:30 (HU Berlin in Adlershof RUD25 Raum 2.417)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Axel Kröner, HU Berlin/CMAP, Ecole Polytechnique, ParisSaclay:
Optimal control of infinite dimensional systems
more ... Location
HumboldtUniversität zu Berlin, Rudower Chaussee 25, 12489 Berlin, JohannvonNeumannHaus, Raum 2.417
Abstract
In this talk we analyze second order optimality conditions for a bilinear optimal control problem governed by a strongly continuous semigroup operator, the control entering linearly in the cost function. We derive first and second order optimality conditions, taking advantage of the Goh transform. The general framework allows the application to heat, wave, and Schrödinger equation.
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 03.05.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Martin Heida, WIAS Berlin:
Convergence of the squareroot approximation scheme to the FokkerPlanck equation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 03.05.2017, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Cristina Butucea, Université ParisEst MarnelaVallée, Frankreich:
Local asymptotic equivalence for quantum models
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Quantum statistics is concerned with inference for physical systems described by quantum mechanics. After an introduction to the main notions of quantum statistics: quantum states, measure ments, channels, we describe nonparametric quantum models. We prove the local asymptotic equivalence (LAE) of i.i.d. quantum pure states and a quantum Gaussian state, in the sense of Le Cam theory. As an application, we show the optimal rates for the estimation of pure states, for the estimation of some quadratic functionals and for the testing of pure states. Surprisingly, a sharp parametric testing rate is obtained in a nonparametric quantum setup. Joint work with M. Guta and M. Nussbaum.
Further Informations
Forschungsseminar “Mathematische Statistik”
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Wednesday, 03.05.2017, 09:30 (WIASHVP3.13)
 Halbleiterseminar
Dr. Joachim Rehberg, WIAS Berlin:
Van Roosbroeck's system is wellposed in case of general recombination terms
Part I: Functional analytic preliminaries
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 3. Etage, Raum: 3.13
Host
WIAS Berlin
 Tuesday, 02.05.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Aleksei Kroshnin, MIPT, Russian Academy of Sciences , Russische Föderation:
Fréchet Barycenters in the MongeKantorovich spaces
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Let P(X) be a space of probability measures on an arbitrary Polish space X. We will discuss a Mongeâ??Kantorovich distance with an arbitrary cost function, given as a solution of optimal transportation problem between two measures from P(X). A useful property of this distance is that it takes into account the geometry of underlying space X. We will show that for a wide class of cost functions the Mongeâ??Kantorovich distance generates a topology on P(X) and consider the properties of this space. Furthermore, we will introduce the notion of FrÃ©chet barycenter which is a generalization of Wasserstein barycenters. It will be shown that the Fréchet barycenters have some regular properties, e.g. they are continuous, consistent etc.
Further Informations
Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Host
WIAS Berlin
 Thursday, 27.04.2017, 10:00 (WIASESH)
 Seminar Laserdynamik
Sindre W. Haugland, Technische Universität München:
What can we learn about chimera states from minimal cluster dynamics?
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Seminar Laserdynamik
Host
WIAS Berlin
 Wednesday, 26.04.2017, 18:15 (WIASESH)
 Berliner Kolloquium Wahrscheinlichkeitstheorie/Berlin Young Probabilists' Seminar
Prof. Dr. Andrey Pilipenko, Ukrainian National Academy of Sciences, Ukraine:
On a selection problem for small noise perturbation of ODE in multidimensional case
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The identification problem of the limit of an ODE with nonLipschitz drift perturbed by a zeronoise is considered in a multidimensional framework. This problem is a classical subject of stochastic analysis, however the multidimensional case was poorly investigated. We consider two cases in particular:
(i) the drift coefficient has a jump discontinuity along an hyperplane and is Lipschitz continuous in the upper and lower halfspaces;
(ii) the drift is equivalent to a(phi) $r^alpha$ as $r$ tends to $0$, where (r,phi) are the polar coordinates, and alpha$<1$.
Further Informations
Berliner Kolloquium Wahrscheinlichkeitstheorie
Host
HumboldtUniversität zu Berlin
Technische Universität Berlin
Universität Potsdam
WIAS Berlin
 Wednesday, 26.04.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Dirk Peschka, WIAS Berlin:
Motion of thin droplets over surfaces  Numerical and modeling techniques for moving contact lines
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 26.04.2017, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Jonathan Weed, Massachusetts Institute of Technology, USA:
Optimal rates of estimation for the multireference alignment problem
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
How should one estimate a signal, given only access to noisy versions of the signal corrupted by unknown circular shifts? This simple problem has surprisingly broad applications, in fields from structural biology to aircraft radar imaging. We describe how this model can be viewed as a multivariate Gaussian mixture model whose centers belong to an orbit of a group of orthogonal transformations. This enables us to derive matching lower and upper bounds for the optimal rate of statistical estimation for the underlying signal.. These bounds show a striking dependence on the signaltonoise ratio of the problem. Joint work with Afonso Bandeira and Philippe Rigollet.
Further Informations
Forschungsseminar “Mathematische Statistik”
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
International Research Training Group 1792
 Tuesday, 25.04.2017, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
Juliana Pimentel, Universidade Federal do ABC:
Permutation characterization for slowly nondissipative equations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We study the longtime behavior of slowly nondissipative scalar reactiondiffusion equations. By extending known results, we are able to obtain a complete decomposition of the noncompact global attractor and still manage to determine the heteroclinic connections based on the Sturm permutation method.
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 25.04.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Nikita Zhivotovskiy, IITP RAS, SkolTech:
Towards minimax optimal rates in classification and regression
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In this talk, we consider two approaches that allow (in some cases) to obtain minimax rates of the prediction risk up to absolute constants. Classification problems will be considered under small noise conditions for an arbitrary distribution of objects, as well as cases of certain special distributions. In contrast to several standard results in the learning theory, our bounds are simultaneously optimal for entire families of classes.
Host
WIAS Berlin
 Tuesday, 25.04.2017, 14:15 (WIASESH)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Prof. Dr. Masahiro Yamamoto, University of Tokyo, Japan:
Inverse problems for an integrohyperbolic equation for the viscoelasticity
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Tuesday, 25.04.2017, 14:00 (WIAS406)
 Seminar Materialmodellierung
Ian Thompson, University of Bath, GB:
Modelling device charge dynamics on the microscopic scale
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We attempt to predict the properties of organic semiconductor (OSC) materials using a microscopic ab initio approach. Charge transport through organic semiconductors (OSCs) is qualitatively different from metallic semiconductors, charges hop between molecules discretely. Marcus theory describes the microscopic hopping mechanism, quantum chemistry methods can calculate the parameters and kinetic Monte Carlo methods can be used to model charge motion. We also need to describe realistic configurations of a set of given molecules. To combine all of these approaches into a single multiscale model is the goal of the EXTMOS project. We present simulations of charge carrier motion in a system of discotic molecules with high levels of shape anisotropy; using explicitly calculated parameters we are able to capture and quantify the effect on charge transport anisotropy. We also consider the use of network models to describe collective behaviour.
Further Informations
Seminar “Materialmodellierung”
Host
WIAS Berlin
 Tuesday, 25.04.2017, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Dr. Jan Schwientek, FraunhoferInstitut für Techno und Wirtschaftsmathematik, Kaiserslautern:
Numerical methods for general(ized) semiinfinite optimization  Applied to gemstone cutting
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
The talk is divided into two parts. In the first part I will give a short introduction to general(ized) semiinfinite programming (GSIP) and survey the numerical methods. At that we will look at one method in more detail, the transformationbased discretization method. It cleverly combines transforming a GSIP into a usual SIP problem and solving the latter one via discretization and exploiting the lower level convexity of the underlying GSIP problem. The second part of my talk will focus on the most shimmering application of general semiinfinite optimization, the volumemaximal utilization of (colored) gemstones. There, the task is the following: Given an irregular raw gem which is provided with surface defects and interspersed with inclusions, produce a set of precious gems such that the profit is as high as possible. I will show how this task can be modeled and solved as a general semiinfinite optimization problem, and how we installed a new fully automatic industrial production process for producing the jewels.
Host
WIAS Berlin
 Wednesday, 19.04.2017, 18:15 (WIASESH)
Prof. Dr. Frank den Hollander, Leiden University, Niederlande:
Random walks on dynamic random graphs
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The mixing time of a Markov chain is the time it needs to approach its stationary distribution. For random walks on graphs, the characterisation of the mixing time has been the subject of intensive study. One of the motivations is the fact that the mixing time gives information about the geometry of the graph. In the last few years, much attention has been devoted to the analysis of mixing times for random walks on emphrandom graphs, which poses interesting challenges. Many realworld networks are dynamic in nature. It is therefore natural to study random walks on emphdynamic random graphs. In this talk we consider a random walk on the configuration model, i.e., a random graph with prescribed degrees. We investigate what happens when at each unit of time a fraction $alpha_n$ of the edges is randomly relocated, where $n$ is the number of nodes. We identify emphthree regimes for the mixing time in the limit as $n to infty$, depending on the choice of $alpha_n$. These regimes exhibit surprising behaviour. Joint work with Luca Avena (Leiden), Hakan Guldas (Leiden) and Remco van der Hofstad (Eindhoven)
Host
HumboldtUniversität zu Berlin
Technische Universität Berlin
Universität Potsdam
WIAS Berlin
 Wednesday, 19.04.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Dr. Christian Kühn, Technische Universität München:
Regularity structures and fractional diffusion
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Tuesday, 18.04.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Yangwen Sun, HU Berlin:
Minimum spanning tree approach for changepoint detection
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Changepoint detection has been demonstrated to be useful in various areas. As the dimension and size of the data increase, the detection of the changepoint becomes more challenging. A recent graphbased approach by Chen and Zhang (2015) has claimed to be effective especially in the high dimensional case. In this talk, we will focus on an approach based on minimum spanning tree (MST) graph. The changepoint detection problem is characterized as a test of a significant change in the probability distribution. The proposed MSTbased dissimilarity measure, the selection of critical level for the test, and the performance of the approach will be presented in this talk.
Host
WIAS Berlin
 Tuesday, 11.04.2017, 15:15 (WIASESH)
 Seminar Laserdynamik
Prof. Dmitry Turaev, Imperial College London, GB:
Energy equilibration in slowfast systems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We consider a slowfast Hamiltonian system where the evolution of some degrees of freedom is slower than the evolution of others. It is wellknown that the ergodicity of the fast subsystem prevents the full slowfast system of achieving the state of statistical equilibrium.. We show that the violation of ergodicity in the fast subsystem drives the full system to equilibrium in an effective way.
Further Informations
Seminar Laserdynamik
Host
WIAS Berlin
 Tuesday, 11.04.2017, 14:00 (WIAS406)
 Seminar Materialmodellierung
Prof. Luca Heltai, SISSA mathLab, Triest, Italien:
A numerical framework for optimal locomotion at low Reynolds numbers
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Swimming (advancing in a fluid in the absence of external propulsive forces by performing cyclic shape changes) is particularly demanding at low Reynolds numbers. This is the regime of interest for microorganisms and micro or nanorobots, where hydrodynamics is governed by Stokes equations, and swimming is complicated by the fact that viscosity dominates over all participating forces. We exploit a formulation of the swimming problem in the context of Control Theory, and we present a numerical approximation scheme based on Boundary Element Methods (BEM) and reduced space Successive Quadratic Programming (rSQP) that is capable of computing efficiently optimal strokes for a variety of micro swimmers, both biological and artificial. We apply this framework to the study of the locomotion of euglenids (one of the bestknown groups of flagellates). These organisms exhibit an unconventional motility strategy amongst unicellular eukaryotes, consisting of largeamplitude highly concerted deformations of the entire body (euglenoid movement or metaboly). We identify previously unnoticed features of metaboly, and we find that metaboly accomplishes locomotion at hydrodynamic efficiencies comparable to those of ciliates and flagellates. Our results suggest new quantitative experiments, provide insight into the evolutionary history of euglenids, and suggest that the pellicle may serve as a model for engineered active surfaces with applications in microfluidics.
Host
WIAS Berlin
 Tuesday, 11.04.2017, 13:30 (WIASESH)
 Seminar Numerische Mathematik
Prof. Jianjun Chen, Zheijian University, China:
Automatic and parallel mesh generation: Recent advances
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Mesh generation is recognized as the main performance bottleneck in simulations involving complicated geometric definitions and/or complex physical behaviors. Automatic generation of highquality meshes remains a challenging issue. Besides, quite a few simulations are now demanding meshes consisting in hundreds of millions of elements or more. It could be very difficult and inefficient to create such big meshes by sequential algorithms due to the bottlenecks of memory usage and computing time.
In this talk, Dr. Chen will present three technologies developed by his research group recently, as part of his efforts to develop a completely automatic and parallel meshing system for realworld simulations. These technologies are: (1) Automatic creation of a featureaware and gradientlimited sizing function; (2) Automatic generation of highquality boundary layer elements using vector fields computed by the boundary element method; (3) Distributed and/or multithreaded parallel mesh generation and mesh quality improvement. Mathematic models behind these technologies will be investigated in this talk, plus important algorithmic details. Meshing examples are selected to show that the developed technologies are applicable to configurations of a complication level experienced in industry.
Host
WIAS Berlin
 Thursday, 06.04.2017, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Prof. David Silvester, University of Manchester, GB:
Accurate timeintegration strategies for modelling incompressible flow bifurcations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Eigenvalue analysis is a wellestablished tool for stability analysis of dynamical systems. However, there are situations where eigenvalues miss some important features of physical models. For example, in models of incompressible fluid dynamics, there are examples where linear stability analysis predicts stability but transient simulations exhibit significant growth of infinitesimal perturbations. In this study, we show that an approach similar to pseudospectral analysis can be performed inexpensively using stochastic collocation methods and the results can be used to provide quantitive information about the nature and probability of instability.
Host
WIAS Berlin
 Tuesday, 04.04.2017, 15:15 (WIASESH)
 Seminar Laserdynamik
Prof. Edgar Knobloch, University of California, USA:
Geostrophic turbulence and the formation of large scale structure
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Low Rossby number convection is studied using an asymptotically reduced system of equations valid in the limit of strong rotation. The equations describe four regimes as the Rayleigh number $Ra$ increases: a disordered cellular regime near threshold, a regime of weakly interacting convective Taylor columns at larger $Ra$, followed for yet larger $Ra$ by a breakdown of the convective Taylor columns into a disordered plume regime characterized by reduced heat transport efficiency, and finally by geostrophic turbulence. The Nusselt numberRayleigh number scaling in the ültimate" regime of geostrophic turbulence is predicted and confirmed using direct numerical simulations of the reduced equations. These simulations reveal that geostrophic turbulence is unstable to the formation of large scale barotropic vortices, via a process known as spectral condensation. The details of this process are quantified and its implications explored.
Further Informations
Seminar Laserdynamik
Host
WIAS Berlin
 Thursday, 30.03.2017, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Prof. J.H.M. ten Thije Boonkkamp, Eindhoven University of Technology, Netherlands:
Complete flux schemes fOR conservation laws of advectiondiffusionreaction typ
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Complete flux schemes are recently developed numerical flux approximation schemes for conservation laws of advectiondiffusionreaction type; see e.g. [1, 2]. The basic complete flux scheme is derived from a local onedimensional boundary value problem for the entire equation, including the source term. Consequently, the integral representation of the flux contains a homogeneous and an inhomogeneous part, corresponding to the advectiondiffusion operator and the source term, respectively. Suitable quadrature rules give the numerical flux. For timedependent problems, the time derivative is considered a source term and is included in the inhomogeneous flux, resulting in an implicit semidiscretisation. The implicit system proves to have much smaller dissipation and dispersion errors than the standard semidiscrete system, especially for dominant advection. Just as for scalar equations, for coupled systems of conservation laws, the complete flux approximation is derived from a local system boundary value problem, this way incorporating the coupling between the constituent equations in the discretization. Also in the system case, the numerical flux (vector) is the superpostion of a homogeneous and an inhomogeneous component, corresponding to the advectiondiffusion operator and the source term vector, respectively. The scheme is applied to multispecies diffusion and satisfies the mass constraint exactly.
References:
[1] J.H.M. ten Thije Boonkkamp and M.J.H. Anthonissen, “The finite volumecomplete flux scheme for advectiondiffusionreaction equations”, J. Sci. Comput., 46, 4770, (2011).
[2] J.H.M. ten Thije Boonkkamp, J. van Dijk, L. Liu and K.S.C. Peerenboom, “Extension of the complete flux scheme to systems of comservation laws”, J. Sci. Comput., 53, 552?568, (2012).
Host
WIAS Berlin
 Wednesday, 29.03.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Dr. Michael Demuth, Technische Universität Clausthal:
On eigenvalues of nonselfadjoint operators: A comparison of two approaches
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 29.03.2017, 13:15 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Prof. Christian Clason, Universität DuisburgEssen:
Convex relaxation of hybrid discretecontinuous control problems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Tuesday, 28.03.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Evgeny Burnaev, Skolkovo Institute of Science and Technology , Russische Föderation:
Minimax approach to variable fidelity data interpolation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In this work we obtain minimax interpolation errors for single and variable fidelity scenarios for a multivariate Gaussian process regression. Evaluation of the minimax errors allows us to identify cases when the variable fidelity data provides better interpolation accuracy than the exclusively high fidelity data for the same computational budget. These results allow us to calculate the optimal shares of variable fidelity data samples under the given computational budget constraint. Real and synthetic data experiments suggest that using the obtained optimal shares often outperforms natural heuristics in terms of the regression accuracy.References:
Gaussian Models for Data Fusion  Minimax Error of Interpolation and Optimal Design of Experiments for Variable Fidelity Data (https://goo.gl/CjgLBE)  Surrogate modeling of multifidelity data for large samples (https://goo.gl/QFkrxf)
Gaussian Process Regression and its Properties  Regression on the Basis of Nonstationary Gaussian Processes with Bayesian Regularization (https://goo.gl/haZsfM)  The Bernsteinvon Mises theorem for regression based on Gaussian Processes (https://goo.gl/9whF3z)  Properties of the bayesian parameter estimation of a regression based on gaussian processes (https://goo.gl/dMd4mD)
Efficient Learning of Gaussian Process regression  Computationally Efficient Algorithm for Gaussian Process Regression in Case of Structured Samples (https://goo.gl/uXzDfW)  Adaptive Design of Experiments Based on Gaussian Processes (https://goo.gl/EjE9kt)
Surrogate Modeling for Industrial Design  GTApprox: Surrogate modeling for industrial design (https://goo.gl/mz7QtV)
Further Informations
Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Host
WIAS Berlin
 Tuesday, 28.03.2017, 14:30 (WIASESH)
 Seminar Numerische Mathematik
Prof. Luca Heltai, SISSA, Italien:
Immersed Finite Element Methods for interface and fluid structure interaction problems: An overview and some recent results
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Immersed Finite Element Methods (IFEM) are an evolution of the original Immersed Boundary Element Method (IBM) developed by Peskin in the early seventies for the simulation of complex Fluid Structure Interaction (FSI) problems. In the IBM, the coupled FSI problem is discretised using a single (uniformly discretised) background fluid solver, where the presence of the solid is taken into account by adding appropriate forcing terms in the fluid equation. Approximated Dirac delta distributions are used to interpolate between the Lagrangian and the Eulerian framework in the original formulation by Peskin, while a variational formulation was introduced by Boffi and Gastaldi (2003), and later generalised by Heltai and Costanzo (2012). By carefully exploiting the variational definition of the Dirac distribution, it is possible to reformulate the discrete Finite Element problem using nonmatching discretisations without recurring to Dirac delta approximation.
One of the key issues that kept people from adopting IBM or IFEM techniques is related to the loss in accuracy attributed to the nonmatching nature of the discretisation between the fluid and the solid domains, leading to solvers that converge only suboptimally.
In this talk I will present a brief overview of Immersed Finite Element Methods, and will present some recent results that exploit techniques introduced by D?Angelo and Quarteroni (2012), to show that, for the variational finite element formulation, the loss in accuracy is only restricted to a thin layer of elements around the solidfluid interface, and that optimal error estimates in all norms are recovered if one uses appropriate weighted norms when measuring the error.
Host
WIAS Berlin
 Tuesday, 28.03.2017, 13:30 (WIASESH)
 Seminar Numerische Mathematik
Giuseppe Pitton, SISSA, Italien:
Accelerating augmented and deflated Krylov space methods for convectiondiffusion problems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this talk I will recall some basic notions of augmented and deflated Krylov space methods for the iterative solution of linear systems. Then I will discuss a few strategies to apply these techniques to the solution of linear systems coming from nonlinear convectiondiffusion equations . In particular, I will argue that in some cases it may be convenient to exploit some alternative recycling strategies based on the SVD selection of previous solutions. Some numerical tests in scalar nonlinear convectiondiffusion problems discretized with Finite Elements and Spectral Elements will be discussed.
Host
WIAS Berlin
 March 22 – 24, 2017 (WIASESH)
 Workshop/Konferenz: Nonlinear Waves and Turbulences in Optics and Hydrodynamics
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Tuesday, 21.03.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Andzhey Koziuk, WIAS Berlin:
Some ideas on Gaussian comparison and approximation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In the talk I plan to discuss new ideas and bottlenecks in the current state of research on how to upper bound Kolmogorov distance on Euclidean balls. The talk will be largely continuation of the one I gave in December 2016 and will pursue the same questions:
1. What is optimal dimensional dependence (both for comparison and approximation) of the upperbound
2. Ways to improve Gaussian approximation
Host
WIAS Berlin
 Monday, 20.03.2017, 14:00 (WIASESH)
 Seminar Quantitative Biomedizin
Thoralf Niendorf, Charité Max Delbrück Center for Molecular Medicine:
Explorations into ultrahigh field magnetic resonance
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The development of ultrahigh field magnetic resonance (UHFMR) is moving forward at an amazing speed that is breaking through technical barriers almost as fast as they appear. UHFMR has a staggering number of potential uses in neuroscience, neurology, radiology, cardiology, internal medicine, physiology, oncology, nephrology, ophthalmology and other related clinical fields. With almost 40,000 MR examinations already performed at 7.0 Tesla, the reasons for moving UHFMR into clinical applications are more compelling than ever.
Host
WIAS Berlin
 Thursday, 16.03.2017, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Mattéo Cicuttin, CERMICS  ENPC, Frankreich:
Implementation of Discontinuous Skeletal methods on arbitrarydimensional, polytopal meshes using generic programming
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Discontinuous Skeletal methods are devised at the mathematical level in a dimensionindependent and cellshapeindependent fashion. Their implementation, at least in principle, should conserve this feature: a single piece of code should be able to work in any space dimension and to deal with any cell shape. It is not common, however, to see software packages taking this approach. In the vast majority of the cases, the codes are capable to run only on few very specific kinds of mesh, or only in 1D or 2D or 3D. On the one hand, this can happen simply because a fully general tool is not always needed. On the other hand, the programming languages commonly used by the scientific computing community (in particular Fortran and Matlab) are not easily amenable to an implementation which is generic and efficient at the same time. The usual (and natural) approach, in conventional languages, is to have different versions of the code, for example one specialized for 1D, one for 2D and one for 3D applications, making the overall maintenance of the codes rather cumbersome. The same considerations generally apply to the handling of mesh cells with various shapes, i.e., codes written in conventional languages generally support only a limited (and set in advance) number of cell shapes.
Generic programming offers a valuable tool to address the above issues: by writing the code generically, it is possible to avoid making any assumption neither on the dimension (1D, 2D, 3D) of the problem, nor on the kind of mesh. In some sense, writing generic code resembles writing pseudocode: the compiler will take care of giving the correct meaning to each basic operation. As a result, with generic programming there will be still differents versions of the code, but they will be generated by the compiler, and not by the programmer. As these considerations suggest, generic programming is a static technique: if correctly realized, the abstractions do not penalize the performance at runtime, because they will leave no trace in the generated code.
In this talk we will discuss how the Hybrid High Order method is implemented atop of DiSk++, a newly developed library for the generic implementation of Discontinuous Skeletal methods.
Host
WIAS Berlin
 Tuesday, 14.03.2017, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Dr. Joachim Linn, FraunhoferInstitut für Techno und Wirtschaftsmathematik, Kaiserslautern:
Simulation of flexible cables in car assembly
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Friday, 03.03.2017, 10:00 (WIASESH)
 Seminar Partielle Differentialgleichungen
Stefano Melchionna, University of Vienna, Österreich:
A variational approach to symmetry, monotonicity and comparison for doublynonlinear equations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We advance a variational method to prove qualitative properties such as symmetries, monotonicity, upper and lower bounds, sign properties, and comparison principles for a large class of doublynonlinear evolutionary problems including gradient flows, some nonlocal problems, and systems of nonlinear parabolic equations. Our method is based on the socalled WeightedEnergyDissipation (WED) variational approach. This consists in defining a global parameterdependent functional over entire trajectories and proving that its minimizers converge to solutions to the target problem as the parameter goes to zero. Qualitative properties and comparison principles can be easily proved for minimizers of the WED functional and, by passing to the limit, for the limiting problem. Several applications of the abstract results to systems of nonlinear PDEs and to fractional/nonlocal problems are presented.
Further Informations
Seminar Partielle Differentialgleichungen
Host
WIAS Berlin
 Thursday, 02.03.2017, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Dr. Lucas Omar Müller, Norwegian University of Science and Technology:
A local time stepping solver for onedimensional blood flow
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We present a finite volume solver for onedimensional blood flow simulations in networks of elastic and viscoelastic vessels, featuring highorder spacetime accuracy and local time stepping (LTS). The solver is built on:
(i) a highorder finitevolume type numerical scheme,
(ii) a highorder treatment of the numerical solution at internal vertexes of the network (junctions);
(iii) an accurate LTS strategy.
Several applications of the method will be presented. First, we apply the LTS scheme to the Anatomically Detailed Arterial Network model (ADAN), comprising 2142 arterial vessels. Second, we show results of a computational study where the ADAN model is coupled to automatically generated microvascular networks in order to elucidate aspects on the pathopysiology of small vessel disease for cerebral arteries.
Host
WIAS Berlin
 Thursday, 02.03.2017, 09:00 (WIAS406)
 Halbleiterseminar
Dr. Duy Hai Doan, WIAS:
A unified Scharfetter Gummel scheme
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
Halbleiterseminar
Host
WIAS Berlin
 Wednesday, 01.03.2017, 15:15 (WIAS406)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Dr. Pierluigi Colli, University of Pavia, Italien:
About a nonsmooth regularization of a forwardbackward parabolic equation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
A variation of the CahnHilliard equation, describing diffusion of species by a suitable regularization of a "forwardbackward" parabolic equation is discussed. In the concerned system, the general viscous regularization is expressed by a maximal monotone graph acting on the time derivative of the concentration and presenting a strong coerciveness property. The phase variable stands for the concentration of a chemical species and it evolves under the influence of a nonconvex free energy density. For the chemical potential a nonhomogeneous Dirichlet boundary condition is assumed. Existence and continuous dependence results are shown. The talk reports on a joint work with E. Bonetti and G. Tomassetti.
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Thursday, 23.02.2017, 09:30 (WIAS406)
 FG Stochastische Systeme mit Wechselwirkung
Dr. Tim Hulshof, University of Technology, Niederlande:
Higher order corrections for anisotropic bootstrap percolation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Bootstrap percolation is a very simple model for growth from a random initial configuration on finite lattices. The model has many applications, for instance to model the spread of infections and to model magnets at low temperatures, to name two, but it is also interesting from a purely mathematical perspective. The model parameter has a critical value, at which the behaviour changes sharply. One interesting feature of bootstrap percolaton is a phenomenon called the ?bootstrap paradox? which relates to a big discrepancy between numerical and theoretical estimates of the critical value of bootstrap percolation models. I will discuss work in progress in which we give the most accurate theoretical estimate for the critical value of any bootstrap model to date, compare it with new numerical estimates, and show how it (tentatively) resolves the paradox. This talk is based on joint work with Hugo DuminilCopin and Aernout van Enter, and on work with Robert Fitzner.
Host
WIAS Berlin
 Tuesday, 21.02.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Andrea Locatelli, Universität Potsdam:
Adaptation to noise parameters in nonparametric active learning
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In this talk, I will present the nonparametric Active Learning classification setting already studied in Minsker (2012a) and show nontrivial strategies that can adapt to the smoothness of the regression function as well as the noise parameter and that require strictly weaker Assumptions than in previous work. We will first study the deterministic setting (i.e. one has access to the true value of the regression function) to build intuition, and then move on to the stochastic setting (noisy binary classification).
Host
WIAS Berlin
 Thursday, 16.02.2017, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Edward Arevalo, Pontificia Universidad Católica de Chile:
Solitary waves in the nonlinear Schrödinger equation with complex potentials
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Thursday, 16.02.2017, 09:00 (WIAS406)
 Halbleiterseminar
Dr. Annegret Glitzky, WIAS:
Analysis for a p(x)Laplace thermistor model describing electrothermal effects in organic semiconductor devices
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
Halbleiterseminar
Host
WIAS Berlin
 Wednesday, 15.02.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Rüdiger Müller, WIAS:
Numerical analysis of coupled bulksurface equations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Coupled reaction diusion processes in the bulk and on the surface of some domain have recently attracted interest in dierent applications in engineering, chemistry and in biology like e.g. biological signal transduction. In this talk, an overview is given over numerical methods on boundary tted meshes as well as methods on untted meshes. The corresponding a priori error analysis for suciently smooth solutions and uniformly rened meshes is brie y discussed. Next, we study a stationary prototype problem and derive a posteriori error control for adaptive FEM. Emphasis is put on the case of only piecewise smooth domain boundaries and solutions of low regularity. A residual error estimator is derived which takes into account the approximation errors due to the nite element discretisation in space as well as the polyhedral approximation of the surface. Finally, a posteriori error estimates for the instationary and nonlinear problems are discussed.
Further Informations
Berliner Oberseminar Nichtlineare partielle Differentialgleichungen (LangenbachSeminar)
Host
WIAS Berlin
 Wednesday, 15.02.2017, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Lázsló Györfi, Budapest University of Technology and Economics:
The role of machine learning in the nonparametric prediction of time series
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Tuesday, 14.02.2017, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
Prof. Dr. Alessandro Torcini, Université de CergyPontoise, France:
Death and rebirth of neural activity in sparse inhibitory networks
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this presentation, we clarify the mechanisms underlying a general phenomenon present in pulsecoupled heterogeneous inhibitory networks: inhibition can induce not only suppression of the neural activity, as expected, but it can also promote neural reactivation. In particular, for globally coupled systems, the number of firing neurons monotonically reduces upon increasing the strength of inhibition (neurons' death). However, the random pruning of the connections is able to reverse the action of inhibition, i.e. in a sparse network a sufficiently strong synaptic strength can surprisingly promote, rather than depress, the activity of the neurons (neurons' rebirth). Thus the number of firing neurons reveals a minimum at some intermediate synaptic strength. We show that this minimum signals a transition from a regime dominated by the neurons with higher firing activity to a phase where all neurons are effectively subthreshold and their irregular firing is driven by current fluctuations. We explain the origin of the transition by deriving an analytic mean field formulation of the problem able to provide the fraction of active neurons as well as the first two moments of their firing statistics. The introduction of a synaptic time scale does not modify the main aspects of the reported phenomenon. However, for sufficiently slow synapses the transition becomes dramatic, the system passes from a perfectly regular evolution to an irregular bursting dynamics. In this latter regime the model provides predictions consistent with experimental findings for a specific class of neurons, namely the medium spiny neurons in the striatum.
Further Informations
Oberseminar Nonlinear Dynamics
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 14.02.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Karsten Tabelow, WIAS Berlin:
MRI data models at low SNR
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In this talk we elaborate the effect of low SNR on estimated parameters in models for neuroimaging data. We will present a new method for the local estimation of the noise parameter in the signal distribution and demonstrate how this can be used for improved estimation of model parameters. (joint work with Joerg Polzehl).
Host
WIAS Berlin
 Thursday, 09.02.2017, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Vinh Tho Ma, Technische Universität Berlin:
Numerical computation of eigenmodes in open waveguides with hpadaptive FEM
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Thursday, 09.02.2017, 15:15 (WIASESH)
 Seminar Numerische Mathematik
Prof. Gert Lube und Ph. Schröder, GeorgAugustUniversität Göttingen:
Pressurerobust error estimates of exactly divergencefree FEM for timedependent incompressible flows
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The talk focusses on the analysis of a conforming finite element method for the timedependent incompressible NavierStokes model. For divergencefree approximations, in a timecontinuous formulation, we prove error estimates for the velocity that hold independently of both pressure and Reynolds number. A key aspect is the use of the discrete Stokes projection for the error splitting. Optionally, edge stabilization can be included in the case of dominant convection. Emphasizing the importance of conservation properties, the theoretical results are complemented with numerical simulations of vortex dynamics and laminar boundary layer flow.
Host
WIAS Berlin
 Thursday, 09.02.2017, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Prof. Michael Eikerling, Simon Fraser University, Kanada:
Theory and modeling of materials for electrochemical energy systems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The everescalating need for highly efficient and environmentally benign energy technology drives research on materials for fuel cells, supercapacitors, batteries, electrolysers, and other electrochemical systems. In this realm, physicalmathematical theory, modeling, and simulation provide increasingly powerful tools to unravel how multifunctional electrochemical materials come to life during selforganization, how they live and operate, e.g., by breathing in oxygen and breathing out water vapor or by shuttling ions across electrolytes, and how they age and fail because of normal wearandtear or improper use. The introductory part of the presentation will give a sweeping perspective of research forays in theory and modeling. Thereafter, two topics will be presented and discussed in detail: modeling approaches to study the interplay of interfacial charging phenomena, fluid flow, ion transport, and electrochemical reaction in nanoporous electrodes; and statistical physicsbased modeling of degradation, aging, and failure in particlebased electrodes and fibrillar membranes.
Host
WIAS Berlin
 Wednesday, 08.02.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Dr. Jürgen Sprekels, WIAS Berlin:
A new identification problem: optimizing the fractional order in a nonlocal evolution equation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 08.02.2017, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Katharina Proksch, Universität Göttingen:
Multiscale scanning in inverse problems  With applications to nanobiophotonics
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Tuesday, 07.02.2017, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
Dr. Shalva Amiranashvili, WIAS Berlin:
Scattering of waves at solitons
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 07.02.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Benjamin Stemper, WIAS Berlin:
Efficient pricing in rough Bergomi
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 07.02.2017, 10:15 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Dr. Sara MerinoAceituno, Imperial College London, GB:
Kinetic theory to study emergent phenomena in biology: An example on swarming
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Classical methods in kinetic theory are challenged when studying emergent phenomena in the biological and social sciences. New methodologies are needed to study the problems at hand which typically involve many agents that interact locally. The aim of this talk is to introduce the general framework of kinetic theory and some of the new challenges of applying it to biological systems. We illustrate it in the case of the socalled collective motion of selfpropelled particles, like swarming of birds. Particularly, based on the Vicsek model, we study systems of agents (birds) that move at a constant speed while trying to align their body orientation with those of their neighbours. Starting from a particle description, we find the macroscopic dynamics.
Further Informations
Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Host
WIAS Berlin
 Tuesday, 07.02.2017, 10:00 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Prof. Dr. Vincent Guigues, Fundação Getúlio Vargas (FGV), Brasilien:
Hypothesis testing and change point detection on controls of stochastic dynamical systems with independent state and observation noises belonging to spherical families
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Thursday, 02.02.2017, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Dr. Joaquin Mura, Pontificia Universidad Católica de Chile, Chile:
An automatic method to estimate 3D Pulse Wave Velocity from 4Dflow MRI data
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this talk will be presented a novel method to automatically construct a continuous Pulse Wave Velocity map using 4DFlow MRI data, based on the observation that in curved vessels, the propagation of velocity wavefronts do not necessarily follow perpendicular planes to some symmetry axis, but intricate shapes that strongly depends on the arterial morphology. This observation is considered to estimate continuous 1D PWV from velocities acquired with 4Dflow MRI data and projected back to 3D for better visualizations. This technique was assessed with insilico and invitro phantoms, volunteers, and Fontan patients, showing a good agreement with expected values.
Host
WIAS Berlin
 Thursday, 02.02.2017, 09:00 (WIAS406)
 Halbleiterseminar
Dr. Igor Yu. Popov, ITMO University, St. Petersburg, Russia:
Tunneling through periodic arrays of quantum dots and spectral problems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Periodic arrays of quantum dots in a constant magnetic field are considered. Two semiinfinite leads are attached to the system. We deal with tunneling through the system. Square and honeycomb lattices, single and double layers were investigated. Zero transmission for some values of the magnetic field is discussed.
Further Informations
WIASHalbleiterseminar
Host
WIAS Berlin
 Wednesday, 01.02.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. André Hänel, Leibniz Universität Hannover:
Spectral asymptotics for mixed problems and for crack problems on infinite cylinders
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
hier
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 01.02.2017, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Fabienne Compte, Université Paris Descartes:
Laguerre basis for inverse problems related to nonnegative random variables
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
I will present, through two main examples, the specic properties of the Laguerre basis and show that it is a very convenient tool to solve estimation problems on R+. The rst example is the regressionconvolution model: an estimator of the unknown underlying function is built in two steps (deconvolution step, regression step) which are explained and discussed. Then, a risk study is conducted, that shows as usual that a biasvariance tradeo must be performed. A model selection device is shown to solve this question. The second example concerns a simpler multiplicative model, for which a projection estimators of the density of the hidden variables are built and discussed. The specic properties of the Laguerre basis with respect to these solutions are enhanced. Rates of convergence in relation with SobolevLaguerre spaces are presented. To conclude, several other problems solved with the Laguerre bases are listed.
Host
HumboldtUniversität zu Berlin
Universität Potsdam
SFB 649: Ökonomisches Risiko
WIAS Berlin
 Tuesday, 31.01.2017, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
Dr. Matthias Wolfrum, WIAS Berlin:
Interfaces in a chain of coupled bistable elements
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 31.01.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Maurillio Danio Gutzeit, Universität Potsdam:
Separation rates in testing if two random graphs are based on the same model
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We consider two inhomogenous Erdös Renyi graphs on the same set of vertices and study the testing problem if the random edges of these graphs have the same underlying stochastic structure. In this framework, such a structure is typically represented by a symmetric n by n matrix with entries in [0,1] and zero diagonal: entry (i,j) is the probability of edge (i,j) to occur and the edges occur independently. Now, identifying the two graphs with such matrices P and Q, respectively, we want to describe the smallest Frobenius and spectral distances between P and Q such that there is a test whose total error probability does not exceed a given level. In particular, we focus on the dependence of this distances on the number n of vertices and the number M of collected samples per graph, i.e. observed adjacency matrices. The talk will exhibit the current state of ongoing joint research with Alexandra Carpentier, Ulrike von Luxburg and Debarghya Ghoshdastidar and it will include nonasymptic results from a minimax point of view as well asymptotic (with respect to n) problem dependent results.
Host
WIAS Berlin
 Tuesday, 31.01.2017, 10:00 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Prof. Dr. Masahiro Yamamoto, University of Tokyo, Japan:
Inverse problems and optimal control problems for fractional diffusion equations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Thursday, 26.01.2017, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Dr. Franco Dassi, Politecnico di Milano, Italien:
The Virtual Element Method in three dimensions
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The Virtual Element Method (VEM) is sharing a good degree of success in the recent years and its robustness and flexibility are already numerically provided for the two dimensional case. In three dimensions the results are currently restricted to the lowest order although the theory of this higher dimensional case is already developed in literature, see for instance [1, 2]. This talk is the first step towards a deeper numerical analysis of VEM in 3D [3]. After a first review of the scheme, we show a series of numerical results that validate this new method in three dimensions. To achieve this goal, we consider standard reactiondiffusion equations solved on several polyhedral meshes with different VEM order.
References: [1] L. Beirao da Veiga, F. Brezzi, A. Cangiani, G. Manzini, L. D. Marini, and A. Russo. Basic principles of virtual element methods. Mathematical Models and Methods in Applied Sciences, 23(01):199214, 2013.
[2] L. Beirao da Veiga, F. Brezzi, L. D. Marini, and A. Russo. The hitchhiker's guide to the virtual element method. Mathematical Models and Methods in Applied Sciences, 24(08):15411573, 2014.
[3] L. Beirao da Veiga, F. Dassi, and A. Russo. Numerical investigations for three dimensional virtual elements of arbitrary order. to appear.
Host
WIAS Berlin
 Thursday, 26.01.2017, 09:00 (WIAS406)
 Halbleiterseminar
Arbi Moses Badlyan, Techniche Universität Berlin:
On the portHamiltonian structure of the NavierStokes equations for reactive flows
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
Halbleiterseminar
Host
WIAS Berlin
 Wednesday, 25.01.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Olaf Klein, WIAS Berlin:
Uncertainty quantification for hysteresis operators and for a model for magnetomechanical components
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 25.01.2017, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Dr. FromontRenoir Magalie, Université Rennes, Frankreich:
Familywise separation rates for multiple testing
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
This joint work with Matthieu Lerasle (Univ. ParisSaclay, France) and Patricia Reynaud Bouret (Univ. Cote d'Azur, France) is devoted to the question of the theoretical evaluation of multiple testing procedures.Where as many rst kind errorrelated evaluation criteria have been dened, as generali zations or relaxations of the historical FamilyWise Error Rate (FWER), very few second kind errorrelated criteria have been proposed in the multiple testing literature. Starting from a parallel between some tests of multiple hypotheses and some tests of a single hypothesis, based on aggregation approaches known to lead to minimax adaptivity properties, we extend the notion of Separation Rate, at the core of the minimax theory for nonparametric single hypothesis tests, to the multiple testing eld.We thus introduce the notion of weak FamilyWise Separation Rate (wFWSR) and its stronger counterpart, the FamilyWise Separation Rate (FWSR), leading to an emergent minimax theory for multiple tests whose FWER is controlled. We present some illustrations in various classical Gaussian frameworks, that corroborate several expected results under particular conditions on the tested hypotheses, but also give more surprising results.
Host
WIAS Berlin
SFB 649: Ökonomisches Risiko
Universität Potsdam
HumboldtUniversität zu Berlin
 Tuesday, 24.01.2017, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
Dr. Sergey Tikhomirov, SaintPetersburg State University:
Depinning bifurcation in quasiperiodic media
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 24.01.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Paolo Pigato, INRIA, Nancy, Frankreich:
Statistical estimation of the oscillating Brownian motion
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
The Oscillating Brownian Motion is a classical, simple example of stochastic differential equation with discontinuous diffusion coefficient. It behaves like a Brownian motion which changes variance parameter each time it crosses a fixed threshold. We consider here the problem of estimating the parameters of such process from discrete observations. We propose two natural consistent estimators, which are variants of the integrated volatility estimator and take the occupation times into account. We show the stable convergence of the renormalized errorsâ?? estimations toward some Gaussian mixture, possibly corrected by a term that depends on the local time. We then consider some applications to financial time series (in particular to volatility modeling), being the Oscillating Brownian Motion a simple way to account of volatility clustering and leverage effect. We compare our empirical results with other regime switching models. (Joint work with Antoine Lejay)
Host
WIAS Berlin
 Thursday, 19.01.2017, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Franziska Bierbüsse, HumboldtUniversität zu Berlin:
Solitary solutions of the short pulse equation for a defocusing nonlinearity
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Thursday, 19.01.2017, 11:00 (WIAS406)
 AnalysisStochastikSeminar
Dr. Martin Heida, WIAS Berlin:
Stochastic twoscale convergence (part III)
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
AnalysisStochastikSeminar
Host
WIAS Berlin
 Thursday, 19.01.2017, 09:00 (WIAS406)
 Halbleiterseminar
Markus Kantner, WIAS:
Modeling of singlephoton sources on a device level
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
Halbleiterseminar
Host
WIAS Berlin
 Wednesday, 18.01.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Hanne Hardering, Technische Universität Dresden:
Gradient flows in Riemannian manifolds space discretization by geodesic finite elements
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
here
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 18.01.2017, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Dr. Alexey Naumov, Lomonosov Moscow State University, Russische Föderation:
Bootstrap confidence sets for spectral projectors of sample covariance
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Let X_1, ... ,X_n be i.i.d. sample in R^p with zero mean and the covariance matrix S. The problem of recovering the projector onto the eigenspace of S from these observations naturally arises in many applications. Recent technique from [Koltchinskii and Lounici, 2015b] helps to study the asymptotic distribution of the distance in the Frobenius norm between the true projector P_r on the subspace of the r th eigenvalue and its empirical counterpart hatP_r in terms of the effective trace of S. This paper offers a bootstrap procedure for building sharp condence sets for the true projector P_r from the given data. This procedure does not rely on the asymptotic distribution of P_r  hatP_r _2 and its moments, it applies for small or moderate sample size n and large dimension p . The main result states the validity of the proposed procedure for nite samples with an explicit error bound on the error of bootstrap approximation. This bound involves some new sharp results on Gaussian comparison and Gaussian anticoncentration in high dimension. Numeric results confirm a nice performance of the method in realistic examples.
Host
WIAS Berlin
Universität Potsdam
SFB 649: Ökonomisches Risiko
HumboldtUniversität zu Berlin
 Tuesday, 17.01.2017, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Mario Maurelli, WIAS Berlin:
A mean field SDE with Neumann boundary conditions
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 17.01.2017, 10:15 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Prof. Dr. Tim Sullivan, FU Berlin:
Wellposedness of Bayesian inverse problems  Stable priors on quasiBanach spaces
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The Bayesian perspective on inverse problems has attracted much mathematical attention in recent years, and particular attention has been paid to Bayesian inverse problems (BIPs) in which the parameter to be inferred lies in an infinitedimensional space, a typical example being a scalar or tensor field coupled to some observed data via an ordinary or partial differential equation. Numerical solution of such infinitedimensional BIPs must necessarily be performed in an approximate manner on a finitedimensional subspace, but it is profitable to delay discretisation to the last possible moment and consider the original infinitedimensional problem as the primary object of study, since infinitedimensional wellposedness results and algorithms descend to any finitedimensional subspace in a discretisationindependent way, whereas careless early discretisation may lead to a sequence of wellposed finitedimensional BIPs or algorithms whose stability properties degenerate as the discretisation dimension increases. This presentation will give an introduction to the framework of wellposed BIPs in infinitedimensional parameter spaces, as advocated by Stuart (Acta Numer. 19:451559, 2010) and others. Recently, this framework has been extended to the case of a heavytailed prior measure in the family of stable distributions, such as an infinitedimensional Cauchy distribution, for which polynomial moments are infinite or undefined. It is shown that analogues of the KarhunenLoeve expansion for squareintegrable random variables can be used to sample such measures on quasiBanach spaces. Furthermore, under weaker regularity assumptions than those used to date, the Bayesian posterior measure is shown to depend Lipschitz continuously in the Hellinger and total variation metrics upon perturbations of the misfit function and observed data.
Further Informations
Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Host
WIAS Berlin
 Thursday, 12.01.2017, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Dr. Almut Gassmann, LeibnizInstitut für Atmosphärenphysik, Kühlungsborn:
Fluid dynamics on icosahedral staggered grids
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In the last decade, some weather and climate modeling centers started to develop atmospheric models that reside on tessellations of the icosahedron. The resulting hexagonal or triangular meshes are essential for two reasons: first, the numerical difficulties arising from CFL restrictions near the poles are avoided, and second, the lower boundary (land structure and ocean) is represented by approximately equally sized areas.
Cstaggered meshes are common in atmospheric modeling because they allow for good wave propagation properties. However, this staggering, which positions the mass points at the grid box centers and the velocity points at the grid box edges, generates other problems for tessellations of the icosahedron, which will be discussed in the talk.
The first problem is the overspecification of velocity components in comparison to the mass components. This problem can only be solved for hexagonal Cgrid meshes by defining discretization procedures which guarantee the linear dependency of velocity components during time stepping. This applies to the Coriolis term and the momentum diffusion term. Such methods are understood by the community since the work of Thuburn (2008).
The second problem is the grid deformation in the vicinity of the 12 pentagon grid boxes. It will be discussed that this deformation is responsible for nonconvergence of some measures which are needed for the evaluation of the friction tensor. The formulation of the friction in dependency on vorticity and divergence instead on strain and shear deformations avoids this problem. However, a direct numerical integration by parts which delivers the frictional heating is then no longer possible. Results with different approaches for the friction term will be presented.
Host
WIAS Berlin
 Wednesday, 11.01.2017, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
PD Dr. Lutz Recke, HumboldtUniversität zu Berlin:
Corrector estimates for singularly perturbed boundary value problems with nonsmooth data
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 11.01.2017, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Dr. Markus Peiger, Stanford University, USA:
Estimating latent assetpricing factors
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We develop an estimator for latent factors in a largedimensional panel of financial data that can explain expected excess returns. Statistical factor analysis based on Principal Component Analysis (PCA) has problems identifying factors with a small variance that are important for asset pricing. Our estimator searches for factors with a high Sharperatio that can explain both the expected return and covariance structure. We derive the statistical properties of the new estimator based on new results from random matrix theory and show that our estimator can find assetpricing factors, which cannot be detected with PCA, even if a large amount of data is available. Applying the approach to portfolio and stock data we find factors with Sharperatios more than twice as large as those based on conventional PCA. Our factors accommodate a large set of anomalies better than notable four and fivefactor alternative models.
Host
HumboldtUniversität zu Berlin
SFB 649: Ökonomisches Risiko
Universität Potsdam
WIAS Berlin
 Tuesday, 10.01.2017, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
Dr. Christian Bick, University of Oxford, UK:
From weak chimeras to switching dynamics of localized frequency synchronization patterns
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We review some recent results on weak chimeras, a mathematically rigorous description for chimera states?solutions with coexisting synchronization and incoherence?in networks of identical oscillators. Moreover, we give some preliminary results on how to construct networks of identical phase oscillators with heteroclinic connections between weak chimeras of saddle type. These networks exhibit dynamic switching of localized synchronization which could for example encode information in neural networks.
Host
WIAS Berlin
Freie Universität Berlin
 Tuesday, 10.01.2017, 10:15 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Dr. Kei Fong Lam, Universität Regensburg:
Diffuse interface models of tumor growth and optimizing cancer treatment times
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
There has been a recent focus in modeling tumor growth with diffuse interface models, due to their ability to capture topological transitions and the nature of the equations allows for further mathematical treatment. In the first part of this talk I will introduce a class of CahnHilliard systems that are used to capture the basic dynamics of tumor growth. Then, we will discuss an optimal control problem for chemotherapy, which is a cancer treatment using drugs to eliminate tumor cells. Treatments are usually conducted in cycles, and long treatment times may cause harm to the patient. Thus, it is important to optimize both the treatment time and drug dosage to minimize patient suffering. In the second part of this talk, we will analyze an optimal control problem with an objective functional depending on a free time variable, which represents the unknown treatment time to be optimized.
Further Informations
Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Host
WIAS Berlin
 Tuesday, 10.01.2017, 10:00 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Dr. Sebastian Heidenreich, PhysikalischTechnische Bundesanstalt:
Uncertainty quantification for nanometrology
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 20.12.2016, 16:00 (WIASESH)
 Oberseminar Nonlinear Dynamics
Dr. Jan Sieber, University of Exeter, GB:
Convergence of equationfree methods in the case of finite time scale separation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
A common approach to studying highdimensional systems with emergent lowdimensional behavior is based on liftevolverestrict maps (called equationfree methods originally proposed by IG Kevrekidis): first, a lifting operator maps a set of low dimensional coordinates into the highdimensional space, then the highdimensional (microscopic) evolution is applied for some time, and finally a restriction operator maps down into a lowdimensional space again. We prove convergence of equationfree methods for sufficiently large healing time (which is a method parameter). More precisely, if the highdimensional system has an attracting invariant manifold with smaller expansion and attraction rates in the tangential direction than in the transversal direction (normal hyperbolicity), and restriction and lifting satisfy some generic transversality conditions, then the liftevolverestrict procedure generates an approximate map that converges to the flow on the invariant manifold for healing time going to infinity. In contrast to all previous results, our result does not require the time scale separation to be large. We demonstrate for an example from Barkley et al (SIAM J. Appl. Dyn. Sys. 5(3) 2006) that the ability to achieve convergence even for finite time scale separation is especially important for applications involving stochastic differential equations, where the evolution occurs at the level of distributions, governed by the FokkerPlanck equation. In these applications the spectral gap is typically small. In the example, the ratio between the decay rates of fast and slow variables is 2.
Host
WIAS Berlin
Freie Universität Berlin
 Tuesday, 20.12.2016, 14:00 (WIASESH)
 INSTITUTSKOLLOQUIUM
Dr. MarieTherese Wolfram, University of Warwick, Mathematics Institute / Johann Radon Institute Linz (RICAM), Austria:
Applied PDE in the socioeconomic sciences
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In recent years nonlinear PDE models have been used successfully in various applications in socioeconomic sciences. For example to describe opinion for mation and knowledge growth in a society, or the collective dynamics of large pedestrian crowds.
In this talk we focus on two PDE models for socioeconomic problems. First a Boltzmann meaneld game approach to describe knowledge and economic growth in a society; and second a nonlinear PDE model for interacting pedes trian ows. We start by discussing the underlying microscopic modelling as sumptions as well as the corresponding meaneld equations. Then we focus on the existence and linear stability of solutions in either case. Finally we construct special solutions, which relate to sustained economic growth or segregation of flows, and illustrate the dynamics of both models with numerical simulations.
Host
WIAS Berlin
 Monday, 19.12.2016, 14:00 (WIASESH)
 INSTITUTSKOLLOQUIUM
Dr. Barbara Zwicknagl, Universität Bonn, Germany:
Variational analysis of microstructures in lowhysteresis shape memory alloys
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The formation of patterns in solids is often explained as the result of a competition between an elastic bulk energy and a higher order surface energy. As an example we will discuss microstructures in shape memory alloys, which are usually modeled by singularly perturbed nonconvex bulk energies. The main focus will be on recent analytical results for shape memory alloys which have been found experimentally to have particularly low hysteresis.
Host
WIAS Berlin
 December 19 – 20, 2016 (WIAS405406)
 Workshop/Konferenz: Free boundary, partial differential equations and related topics
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Further Informations
Workshop Web Page
Host
WIAS Berlin
 Thursday, 15.12.2016, 11:00 (WIAS406)
 AnalysisStochastikSeminar
Dr. Martin Heida, WIAS Berlin:
Stochastic twoscale convergence (part II)
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
AnalysisStochastikSeminar
Host
WIAS Berlin
 Thursday, 15.12.2016, 09:00 (WIAS406)
 Halbleiterseminar
Dr. Matthias Liero, WIAS:
Electrothermal effects in organic semiconductors
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
Halbleiterseminar
Host
WIAS Berlin
 Wednesday, 14.12.2016, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Georgy Kitavtsev, University of Bristol, GB:
Liquid crystal defects in the Landaude Gennes theory in 2Dbeyond the oneconstant approximation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
here
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Tuesday, 13.12.2016, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Carlos Enrique Améndola Cerón, Technische Universität Berlin:
An introduction to algebraic statistics
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Algebraic Statistics is a relatively new field that has developed rapidly in recent years, using algebraicgeometric methods to provide new tools to analyze and solve statistical problems. In this talk I will give an overview of the exciting interplay between algebra and statistics, and then briefly discuss it in the context of current research on Gaussian mixtures.
Host
WIAS Berlin
 Tuesday, 13.12.2016, 10:15 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Amal Alphonse, WIAS:
Existence for a fractional porous medium equation on an evolving surface
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this talk, which is based on joint work with Prof. Charlie Elliott, an existence theory for a porous medium equation with a fractional diffusion on an evolving surface will be presented. The nonlocal nature of the fractional diffusion (which in this case is the square root of the Laplacian) in combination with the nonlinearity and the moving domain makes the problem interesting. After defining the fractional Laplacian and giving a DirichlettoNeumann characterisation of it in a general setting of closed Riemannian manifolds, the author will define what he means by a weak solution and then proceed with the proof of existence. This will involve harmonic extensions on semiinfinite and truncated cylinders, convergence/decay estimates and some technical results in order to deal with the timeevolving surface. The author will finish by discussing some ideas for further work.
Further Informations
Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Host
WIAS Berlin
 Thursday, 08.12.2016, 11:00 (WIAS406)
 AnalysisStochastikSeminar
Dr. Martin Heida, WIAS Berlin:
Stochastic twoscale convergence (part I)
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
AnalysisStochastikSeminar
Host
WIAS Berlin
 Thursday, 08.12.2016, 09:00 (WIAS406)
 Halbleiterseminar
Dr. Dirk Peschka, WIAS:
Gradient structure for optoelectronic models of semiconductor
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
Halbleiterseminar
Host
WIAS Berlin
 Wednesday, 07.12.2016, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Vaios Laschos, WIAS Berlin:
From differential equations to gradient flows on metric spaces and back
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 07.12.2016, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Vladimir Spokoiny, WIAS Berlin:
Adaptive weights clustering
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The paper discusses a new method of unsupervised learning for high dimensional data based on the idea of adaptive weights from Polzehl and Spokoiny (2000). The procedure recovers the unknown clustering structure without any prior information about the number of clusters, their size, distance between clusters, etc. The approach extends the popular kmean and density based clustering procedures by using dynamically updated local weights. Theoretical results describe two major features of the method: propagation within a homogeneous region and separation between two different regions. Numerical results show stateofart performance of the new procedure.
Host
WIAS Berlin
Universität Potsdam
SFB 649: Ökonomisches Risiko
HumboldtUniversität zu Berlin
 Tuesday, 06.12.2016, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Andzhey Koziuk, WIAS Berlin:
Operator convex functions and matrix Bernstein type inequality
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 06.12.2016, 14:00 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Dr. Wim van Ackooij, Electricité de France R&D, Paris, Frankreich:
Eventual convexity of feasible sets for nonlinear probabilistic constraints with elliptically symmetric distributions
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In this talk we will consider probability constraints acting on nonlinear systems involving an elliptically symmetrically distributed random vector. The nonlinear system is assumed to be convex in the decision vector. Under these assumptions we can provide a series of tools that allow us to establish novel convexity results for upper level sets of the probability function provided a sufficiently large threshold is taken. This latter threshold can be computed analytically.
Host
WIAS Berlin
 Tuesday, 06.12.2016, 10:15 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Dr. Luca Calatroni, Ecole Polytechnique ParisSaclay, Frankreich:
Infimal convolution of data discrepancies for mixed noise removal in images
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In several realworld imaging applications such as microscopy, astronomy and medical imaging, transmission and/or acquisition faults result in a combination of multiple noise statistics in the observed image. Variational data discrepancy models designed to deal with such mixtures linearly combine standard data fidelities used for singlenoise removal or make use of either approximated and cheap or exact but computationally expensive loglikelihood functionals. Via a joint MAP estimation, we derive a statistically consistent variational model combining data fidelities associated to single noise distributions in a handy infimal convoution fashion by which individual noise components corrupting the data are modelled appropriately and decomposed from each other. After showing the wellposedness of the model in suitable function spaces, we propose a semismooth Newtontype scheme to compute its numerical solution efficiently.
Further Informations
Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Host
WIAS Berlin
 Thursday, 01.12.2016, 11:00 (WIASESH)
 AnalysisStochastikSeminar
Markus Mittnenzweig, WIAS Berlin:
Gammaconvergence for periodic homogenization (part II)
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
AnalysisStochastikSeminar
Host
WIAS Berlin
 Thursday, 01.12.2016, 09:00 (WIASESH)
 Halbleiterseminar
Prof. Dr. Alexander Mielke, WIAS Berlin:
Coupling of quantum and macroscopic systems (part II)
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Halbleiterseminar
Host
WIAS Berlin
 Wednesday, 30.11.2016, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Sina Reichelt, WIAS Berlin:
Corrector estimates for coupled reactiondiffusion equations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 30.11.2016, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Dr. Gwennaëlle Mabon/Prof. Markus Reiß, HumboldtUniversität zu Berlin:
Estimation of linear and nonlinear functionals in nonparametric boundary models
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
For nonparametric regression with onesided errors and a boundary curve model for Pois son pR oint processes we consider rst the problem of ecient estimation for linear functionals of the form f(x)w(x)dx with unknown f and known w. We propose a simple blockwise estimator and then build up a nonparametric maximumlikelihood approach. Both methods allow for estimation with optimal rate n??(+1=2)=(+1) under Hlder smoothness or monotonicity constraints (analogue of = 1). Surprisin gly, the nonparametric MLE approach enjoys additionally nonasymptotic eciency properties (UMVU: uniformly minimum variance among all unbiased estimators). Given uniform observations supported on a convex set, the theory extends to unbiased estimation of the volume of this convex set. In a second step, we consider estimation of nonlinear functionals of the form R (f(x))dx for known weakly dierentiable . In view of Lp norms a primary example is (x) = jxjp. Even in that case unbiased estimation is feasible and optimal convergence rates can be derived. As an application we discuss Lpseparation rates in nonparametric testing. The proofs rely essentially on martingale stopping arguments for counting processes and the underlying point process geometry. The estimators are easily computable and some simulation results are presen ted. Surprising dierences with standard models like Gaussian white noise are discussed. Diculties with establishing a Bayesian Bernsteinvon Mises result are pointed out. (based on joint work with Leonie Selk, Nikolay Baldin and Martin Wahl)
Host
WIAS Berlin
 Tuesday, 29.11.2016, 17:00 (LG)
 Wissenstransfer
Prof. Dr. Eberhard Knobloch, TU Berlin / BBAW; PD Dr. Rüdiger Thiele, Universität Leipzig; Prof. Dr. Thomas Sonar, TU Braunschweig:
Auf Leibniz' Spuren in der Mathematik
more ... Location
Haus der LeibnizGemeinschaft, Chausseestr. 111, 10115 Berlin
Abstract
Gottfried Wilhelm Leibniz, der "letzte Universalgelehrte", hat nicht zuletzt auch in der Mathematik großartige wissenschaftliche Leistungen erbracht. Diese stehen im Fokus einer öffentlichen Veranstaltung, in deren Rahmen drei eminente MathematikHistoriker auf wichtige Bereiche seines Schaffens eingehen. Da gerade bei Leibniz nach wie vor mehrere zehntausend handschriftlich beschriebene Seiten der Auswertung harren, sind überraschende und spannende neue Erkenntnisse nicht auszuschließen.
Eine umfangreiche Sichtung Leibniz'scher Handschriften führt Eberhard Knobloch zu dem Schluss, dass die vielzitierte fehlende mathematische Leibniz'sche Rigorosität ("er teilt ja nur unendlich kleine Größen durcheinander") in das Reich der Mythen gehört.
Rüdiger Thiele beschreibt die Entwicklung des Funktionsbegriffs "f(x)=y", der uns seit der Schule sehr vertraut ist, aber erst durch eine Leibniz'sche Großtat erfunden wurde.
Im Mittelpunkt des Vortrages von Thomas Sonar steht die unangenehme Geschichte des Streits zweier der allergrößten Wissenschaftler (Leibniz und Newton) um eine der größten Erfindungen der Mathematik: Wer hat zuerst die Infinitesimalrechnung ersonnen?
Further Informations
https://www.wiasberlin.de/events/Leibniz16/
Host
WIAS Berlin
 Tuesday, 29.11.2016, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
Prof. Dr. Tobias Jäger, FriedrichSchillerUniversität:
Modelocking phenomena in lowdimensional dynamics
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
Freie Universität Berlin
 Tuesday, 29.11.2016, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Priv.Doz. Dr. John G. M. Schoenmakers, WIAS Berlin:
Density projection schemes for McKeanVlasov equations and explicit solutions of OU type equations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 29.11.2016, 10:15 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Martin Kanitsar, Universität Graz, Österreich:
Numerical shape optimization for an industrial application
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Host
WIAS Berlin
 Tuesday, 29.11.2016, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Dr. Jan Gräfe, LeibnizInstitut für Gemüse und Zierpflanzenbau e.V. (IGZ), Großbeeren:
Plant leaf optics  problems and some solutions
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Monday, 28.11.2016, 14:00 (WIASESH)
 INSTITUTSKOLLOQUIUM
Dr. Felix Hildebrand, Robert Bosch GmbH, Germany:
Technological challenges and chances of Limetal solid state batteries
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Friday, 25.11.2016, 17:00 (WIAS405406)
 SIAM Chapter
Opening Ceremony
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Host
WIAS Berlin
Technische Universität Berlin
 Thursday, 24.11.2016, 11:00 (WIAS406)
 AnalysisStochastikSeminar
Markus Mittnenzweig, WIAS Berlin:
Gammaconvergence for periodic homogenization
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
AnalysisStochastikSeminar
Host
WIAS Berlin
 Thursday, 24.11.2016, 09:00 (WIAS406)
 Halbleiterseminar
Prof. Dr. Alexander Mielke, WIAS Berlin:
Coupling of quantum and macroscopic systems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Wednesday, 23.11.2016, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Tomáš Roubíček, Institute of Thermomechanics, CZ:
Thermodynamics of magneto and poroelastic materials at large strains
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
here
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 23.11.2016, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Shi Chen, Humboldt Universität zu Berlin, IRTG 1792:
Network dynamics of highfrequency trading data: Evidence from NASDAQ market
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We propose a robust connectedness estimator for limit order books in high dimensional setting, and we argue that limit orders have significant market impacts. The estimator is constructed based on sparse precision matrix using graphical lasso, so that the regularized covariance matrix is related to connectedness measure. The microstructure noise embedded in high frequency data is removed by pre averaging estimation. Furthermore, we provide a jumprobust estimator for connectedness of NASDAQ firms from different industrial sectors. Based on these insights, our results successfully track the network dynamics.
Host
HumboldtUniversität zu Berlin
SFB 649: Ökonomisches Risiko
Universität Potsdam
WIAS Berlin
 Tuesday, 22.11.2016, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Prof. Vladimir Spokoiny, WIAS Berlin:
Bootstrap confidence sets for spectral projectors of sample covariance
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Let ( X_1,ldots,X_n ) be i.i.d. sample in ( R^p ) with zero mean and the covariance matrix ( Sigma ). The problem of recovering the projector onto the eigenspace of ( Sigma ) from these observations naturally arises in many applications. Recent technique from citeKoltchLounici2015 helps to study the asymptotic distribution of the distance in the Frobenius norm ( P_r  hatP_r _2 ) between the true projector ( P_r ) on the subspace of the ( r )th eigenvalue and its empirical counterpart ( hatP_r ) in terms of the effective trace of ( Sigma). This paper offers a bootstrap procedure for building sharp confidence sets for the true projector ( P_r ) from the given data. This procedure does not rely on the asymptotic distribution of ( P_r  hatP_r _2 ) and its moments, it applies for small or moderate sample size ( n ) and large dimension ( p ). The main result states the validity of the proposed procedure for finite samples with an explicit error bound on the error of bootstrap approximation. This bound involves some new sharp results on Gaussian comparison and Gaussian anticoncentration in high dimension. Numeric results confirm a nice performance of the method in realistic examples.
Host
WIAS Berlin
 Tuesday, 22.11.2016, 13:00 (WIAS406)
 Seminar Thermodynamische Modellierung und Analyse von Phasenübergängen
Martin Kraus, Ostbayerische Technische Hochschule Regensburg:
Modeling of porous metalelectrolyte interfaces
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 22.11.2016, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Dr. Jörg Bischoff, MPI für Sonnensystemforschung, Göttingen/OSIRES, Ilmenau:
Modal diffraction methods and selected applications
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 22.11.2016, 10:00 (WIASESH)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Dr. Soheil Hajian, HU Berlin:
Total variation diminishing RK methods for the optimal control of conservation laws
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Optimal control problems subject to conservation laws are among challenging optimization problems due to difficulties that arise when shocks are present in the solution. Such optimization problems have application, for instance, in gas networks. Beside theoretical difficulties at the continuous level, discretization of such optimal control problems should be done with care in order to guarantee convergence. In this talk, we present stability results of the total variation diminishing (TVD) RungeKutta (RK) methods for such optimal control problems. In particular we show that enforcing strong stability preserving (SSP) for both forward and adjoint problem results to a first order timediscretization. However, requiring SSP only for forward problem is sufficient to obtain a stable discrete adjoint. We also present orderconditions for the TVDRK methods in the optimal control context.
Host
WIAS Berlin
 November 18 – 19, 2016 (WIASESH)
 Workshop/Konferenz: AG DANK Herbsttagung 2016
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Thursday, 17.11.2016, 15:15 (WIASESH)
 Seminar Numerische Mathematik
Dr. Steffen Weißer, Universität des Saarlandes:
Convectionadapted BEMbased finite element method on tetrahedral and polyhedral meshes
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
A new discretization method for homogeneous convectiondiffusionreaction boundary value problems in 3D is presented that is a nonstandard finite element method with PDEharmonic shape functions on polyhedral elements, see [1]. The element stiffness matrices are constructed by means of local boundary element techniques. The method, which is referred to as a BEMbased FEM, can therefore be considered a local Trefftz method with elementwise (locally) PDEharmonic shape functions. The current research combines the results of [2] with the hierarchical construction of shape functions presented in [3]. The Dirichlet boundary data for these shape functions is chosen according to a convectionadapted procedure which solves projections of the PDE onto the edges and faces of tetrahedral and polyhedral elements, respectively. This improves the stability of the discretization method for convectiondominated problems both when compared to a standard FEM and to previous BEMbased FEM approaches, as we demonstrated in several numerical experiments. Our experiments also show an improved resolution of the exponential layer at the outflow boundary for our proposed method when compared to the SUPG method.
[1] C. Hofreither, U. Langer and S. Weißer. Convectionadapted BEMbased FEM. Z. Angew. Math. Mech. doi:10.1002/zamm.201500042 (2016).
[2] C. Hofreither, U. Langer and C. Pechstein. A nonstandard finite element method for convectiondiffusionreaction problems on polyhedral meshes. AIP Conference Proceedings 1404(1):397404 (2011).
[3] S. Rjasanow and S. Weier. FEM with Trefftz trial functions on polyhedral elements. J. Comput. Appl. Math. 263:202217 (2014).
Host
WIAS Berlin
 Thursday, 17.11.2016, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Prof. Julia Novo, Universidad Autónoma de Madrid, Spain:
Non infsup stable mixed finite element approximations to the evolutionary Stokes equations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In the first part of the talk we will consider the pressure stabilized Petrov Galerkin (PSPG) method in space to approximate the evolutionary Stokes equations with non infsup stable mixed finite elements. The analytical results are based on an appropriate approach for computing the initial velocity, which we suggest. We clarify the so called instability of the discrete pressure for small time steps reported in the literature and show that this instability does not occur for our proposed initial condition. In the second part of the talk we study the approximation of the same equations by means of a projection scheme with non infsup stable mixed finite elements. The projection scheme we propose has a stability parameter analogous to the stability parameter of the PSPG method. As a consequence of our analysis we prove the pressure stability of the ChorinTemam method for non infsup stable elements. This property was known in the literature but to our knowledge had not yet been proved.
Host
WIAS Berlin
 Thursday, 17.11.2016, 11:00 (WIAS406)
 AnalysisStochastikSeminar
Dr. Sina Reichelt, WIAS Berlin:
Twoscale convergence and homogenization, Part II
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
AnalysisStochastikSeminar
Host
WIAS Berlin
 Wednesday, 16.11.2016, 10:00 (WIASHVP4.13)
 Forschungsseminar Mathematische Statistik
Prof. Thorsten Dickhaus, Universität Bremen:
Statistical properties of Bernstein copulae with applications in multiple testing
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 4. Etage, Raum: 4.13
Abstract
A general way to estimate continuous functions consists of approximations by means of Bernstein polynomials. Sancetta and Satchell (2004) proposed to apply this technique to the problem of approximating copula functions. The resulting socalled Bernstein copulae are nonparametric copula estimates with some desirable mathematical features like smoothness. We extend previous statistical results regarding bivariate Bernstein copulae to the multivariate case and study their impact on multiple tests. In particular, we utilize them to derive asymptotic confidence regions for the familywise error rate (FWER) of simultaneous test procedures which are empirically calibrated by making use of Bernstein copulae approximations of the dependency structure among the test statistics. This extends a similar approach by Stange, Bodnar and Dickhaus (2015) in the parametric case. A simulation study quantifies the gain in FWER level exhaustion and, consequently, power which can be achieved by exploiting the dependencies, in comparison with common threshold calibrations like the Bonferroni or the Sidak correction. Finally, we demonstrate an application of the proposed methodology to reallife data from insurance. (joint work with André Neumann, Taras Bodnar and Dietmar Pfeifer)
Further Informations
Forschungsseminar “Mathematische Statistik”
Host
WIAS Berlin
Universität Potsdam
SFB 649: Ökonomisches Risiko
HumboldtUniversität zu Berlin
 Wednesday, 16.11.2016, 10:00 (WIAS406)
 Halbleiterseminar
Stefan Kayser, IKZ Berlin:
LateralPhotovoltageScanning (LPS) und ScanningPhotolumineszenz (SPL)Methode
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Widerstandsschwankungen in Si ,Ge oder Si_{x}Ge_{1x}Wafern sind maßgebend für die Qualität des Wafers und definieren seine Züchtungsparameter. Eine Untersuchung der Schwankungen in der Dotierstoffkonzentration in Halbleitern ist mit der LPSMethode zu erreichen. Die Simulationen zu der dargestellten Messmethode werden mit COMSOL Multiphysics durchgeführt. Hierbei werden FiniteVolumenSimulationen mit konstanten Ansatzfunktionen mithilfe SemiconductorModul kalkuliert. Als Dotierstoffschwankungen entlang der Probe wird ein Sinus vorgegeben. Die Generation von ElektronLochpaaren wird durch einen Laser mit konstanter Geschwindigkeit in der Halbleiterprobe verursacht. Die zeitabhängige Lösung dieses Problems wird mithilfe der van Roosbroeck Gleichung in den Variablen, Elektronen, Lochdichte und elektrisches Potential, erreicht. Ziel der Simulationen ist zu untersuchen, ob eine lokale Bestimmung der Minoritätsladungsträgerlebensdauer mithilfe der Phasenverschiebung zwischen Anregung und resultierender Spannung an den Probenenden möglich ist. Ebenfalls sollen Zusammenhänge mit der SPLMethode, welche die lokale Lumineszenz aus den Rekombinationen der ElektronenLochPaare bestimmt, analysiert werden.
Further Informations
WIASHalbleiterseminar
Host
WIAS Berlin
 Tuesday, 15.11.2016, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Alexandra Suvorikova, WIAS Berlin:
Nonasymptotic confidence sets in 2Wasserstein space and their application to change point detection
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In this work, we consider probabilistic setting where the probability measures are considered to be random objects. We present a procedure of construction of confidence sets for the population barycenter and discuss its application to change point detection.
Host
WIAS Berlin
 Tuesday, 15.11.2016, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Dr. Kevin Sturm, RICAM, Linz, Österreich:
Convergence of Newon's method in shape optimisation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 15.11.2016, 10:00 (WIASHVP4.13)
 Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
Prof. Dr. Michael Hintermüller:
Bilevel optimization with applications to image processing
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 4. Etage, Raum: 4.13
Host
WIAS Berlin
 November 14 – 16, 2016 (WIASESH)
 Workshop/Konferenz: Probabilistic Methods in Telecommunication
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Thursday, 10.11.2016, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Prof. Raimondas Čiegis, Vilnius Gediminas Technical University, Litauen:
On stability analysis of some nonclassical schemes for the Schrodinger equation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this talk we consider the stability and efficiency of numerical algorithms for the solution of the Schrodinger problem and some modifications of this equation. The first problem deals with local approximations of the exact nonlocal transparent boundary conditions. The family of rational functions is investigated and optimal values of coefficients are computed by solving global optimization problems with different objective functions. In the second part, the 1D Schrodinger problem is approximated by Numerov's type finite difference scheme but nonuniform meshes are used. The obtained finite difference scheme is nonconservative and the spectral stability analysis is done in order to show that the nonclassical restriction $h_x <= C h_t$ is required to regularize the scheme and to prove $rho$stability estimates. In the last part, some parallel numerical algorithms are analyzed for efficient computation of fractional powers of elliptic type operators.
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Thursday, 10.11.2016, 11:00 (WIAS406)
 AnalysisStochastikSeminar
Dr. Sina Reichelt, WIAS:
Twoscale convergence and homogenization
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
AnalysisStochastikSeminar
Host
WIAS Berlin
 Wednesday, 09.11.2016, 14:00 (WIASESH)
 INSTITUTSKOLLOQUIUM
Prof. Dr. Michael Kohlhase, FriedrichAlexanderUniversität Erlangen/Nürnberg, Germany:
FrameIT: From Serious Games to Modeling and Applying Mathematical Models
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Mathematical modeling is the key tool that drives modern science, technology engineering, and medicine (STEM). It comprises data about the respective situations & phenomena and models (e.g. differential equations) that allow to draw inferences and make predictions from the data.
STEM data has seen a lot of attention to support its collection, storage, curation, and presentation by computers, and large public and private data repositories have been established. The models themselves have largely remained in the penandpaper world of mathematics, and have been transformed into programs on a casebycase basis. In particular, the question on how to model the models declaratively for computer support is largely unresolved, and as a consequence we do not have collections of models as a resource.
In this talk we will present the knowledgebased FrameIT method, which represents mathematical models and the knowledge backing it in a theory graph whose nodes (theories) are logicbased representations of the mathematical objects, their assumptions, and properties and whose edges (theory morphisms) are meaningpreserving mappings. The critical realization utilized by the FrameIT method is that the application of a mathematical model can be represented as an extension of the model theory graph by special theories representing the situation and phenomena and that the application mapping naturally becomes a theory morphism. This gives an abstract framework for modelling mathematical modelling and makes the models into represented objects that can be collected, curated, presented, and reused.
The FrameIT method has been implemented and tested in the context of serious games for mathematics. We will present that work in the talk and discuss how the very simple models (highschool math) used there can be scaled to realistic models in the STEM fields. We also discuss the OMDoc/MMT infrastructure for collection, storage, curation, and presentation of theory graphs and how this can serve as a basis for a repository of mathematical models.
Host
WIAS Berlin
 Wednesday, 09.11.2016, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Johannes SchmidtHieber, Leiden University, Niederlande:
Asymptotic equivalence between density estimation and the Gaussian white noise model revisited
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Asymptotic equivalence means that two statistical models have the same asymptotic pro perties with respect to all decision problems with bounded loss. In nonparametric statistics, asymptotic equivalence has been found useful as it allows in some situations to switch to simpler models. One of the most famous results is Nussbaums theorem which states that nonparametric density estimation is asymptotically equivalent to a Gaussian shift model provided that the densities satisfy some smoothness assumptions and are bounded away from zero. In this talk we review the literature and study to which extent one can relax the assumption that the densities must be uniformly bounded away from zero. We derive moreover the optimal rates of the Le Cam deciencies. A part of the talk will be devoted to explaining the lower and upper bounds in more detail. As application, we mention Poisson intensity estimation with low count data. This is joint work with Kolyan Ray.
Further Informations
Forschungsseminar “Mathematische Statistik”
Host
WIAS Berlin
Universität Potsdam
SFB 649: Ökonomisches Risiko
HumboldtUniversität zu Berlin
 Tuesday, 08.11.2016, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Martin Redmann, WIAS Berlin:
Dimension reduction of large scale OU processes
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
SPDEs with Lévy noise can be used to model chemical, physical or biological phenomena which contain uncertainties. When discretising these SPDEs in order to solve them numerically the problem might be of large order. The goal is to save computational time by replacing large scale systems by systems of low order capturing the main information of the full model. In this talk, we therefore discuss balancing related MOR techniques. We summarise already existing results and discuss recent achievements.
Host
WIAS Berlin
 Monday, 07.11.2016, 14:00 (WIASESH)
 INSTITUTSKOLLOQUIUM
Dr. Alexandra Carpentier, Universität Potsdam, Germany:
Sequential sampling and uncertainty quantification
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
This talk will cover two complementary topics : sequential sampling and uncertainty quantification.
The automatisation of sequential decision making in an uncertain environment, also called sequential sampling, is a fundamental goal of modern artificial intelligence and machine learning. A simple example of sequential sampling is the best arm identification bandit setting [1], which is a discrete, unstructured and noisy optimisation problem. Recent own results [5] addressing a conjecture from [1] will be presented. They highlight the importance of uncertainty quantification for sequential sampling, and for riskaware decision making.
Empirical uncertainty quantification of estimation procedures can be simple in parametric, low dimensional situations. However, it becomes challenging and often problematic in high and infinite dimensional models. Indeed, adaptivity to the unknown model complexity becomes key in this case, and uncertainty quantification becomes akin to model estimation, see [6,4]. Such modeladaptive uncertainty quantification can be formalised through the concept of adaptive and honest confidence sets [2]. Recent own results [3,4] related to this concept will be presented.
References
[1] J.Y. Audibert, S. Bubeck. Best arm identification in multiarmed bandits. Journal of Machine Learning Research W&CP COLT, volume 23, pp. 1322, 2010.
[2] T. Cai and M. Low. An adaptation theory for nonparametric confidence intervals. The Annals of Statistics, volume 32:5, pp. 18051840, 2004.
[3] A. Carpentier, J. Eisert, D. Gross, and R. Nickl. Uncertainty Quantification for Matrix Compressed Sensing and Quantum Tomography Problems. ArXiv eprints, April 2015.
[4] A. Carpentier, O. Klopp, M. Löffler, and R. Nickl. Adaptive confidence sets for matrix completion. ArXiv eprints, August 2016.
[5] A. Carpentier and A. Locatelli. Tight (Lower) Bounds for the Fixed Budget Best Arm Identification Bandit Problem. Journal of Machine Learning Research W&CP COLT, volume 49, pp. 115, 2016.
[6] M. Hoffmann and R. Nickl. On adaptive inference and confidence bands. The Annals of Statistics, volume 39:5, pp. 23832409, 2011.
Host
WIAS Berlin
 Wednesday, 02.11.2016, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Markus Mittnenzweig, WIAS Berlin:
An entropic gradient structure for noncommutative Lindblad equations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 02.11.2016, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Olga Klopp, Universtité ParisOuest Nanterre:
Network models and sparse graphon estimation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Inhomogeneous random graph models encompass many network models such as stochastic block models and latent position models. We consider the problem of statistical es timation of the matrix of connection probabilities based on the observations of the adjacency matrix of the network and derive optimal rates of convergence for this problem. Our results cover the important setting of sparse networks. We also establish upper bounds on the mini max risk for graphon estimation when the probability matrix is sampled according to a graphon model. The problem of estimation of the matrix of connection probabilities of a network can be viewed as a particular case of a general matrix sequence model. In this model, we observe the noisy entries of a matrix and assume that the signal matrix is ßtructured", that is, it can be factorized using sparse factors. This model includes a number of interesting problems such as the mixture of Gaussian, sparse dictionary learning, stochastic block models and mixture membership models. In the second part of the talk, I will consider the problem of statistical estimation of the signal matrix for this model and derive optimal rates of estimation. Keywords. Inhomogeneous random graph; Networks; Oracle inequality; Sparse graphon.
Host
SFB 649: Ökonomisches Risiko
Universität Potsdam
HumboldtUniversität zu Berlin
WIAS Berlin
 Tuesday, 01.11.2016, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
Bernhard Brehm, Freie Universität Berlin:
Particle horizons in the Mixmaster Universe
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The Mixmaster Universe has been proposed by Misner (1969) as a model for a chaotic big bang cosmological singularity. This cosmological model describes Bianchi IX spatially homogeneous, anisotropic vacuum spacetimes. In 1970, Belinskii, Khalatnikov, and Lifshitz (BKL) conjectured that particle horizons form towards the big bang. In other words, backwards lightcones remain spatially bounded, and spatially separate regions causally decouple. We prove this BKL conjecture, for almost every solution. More specifically, the answer to this question depends on the convergence speed towards the Mixmaster attractor. Ringström (2001) showed that this convergence occurs at all. We introduce a novel expanding measure in order to prove that the convergence is fast enough to guarantee the formation of particle horizons for Lebesgue almost every solution. The talk is addressed at a nonspecialist audience.
Host
Freie Universität Berlin
WIAS Berlin
 Tuesday, 01.11.2016, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Pavel Dvurechensky, WIAS Berlin:
Numerical aspects of Wasserstein distance, Wasserstein barycenters, and HellingerKantorovich distance
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In this talk, we will consider Wasserstein and HellingerKantorovich distances. The definitions of these distances are based on specific optimization problems. The goal of the talk is to present new numerical methods for solution of these optimization problems.
Host
WIAS Berlin
 October 27 – 28, 2016 (WIASESH)
 Workshop/Konferenz: Kickoff Meeting of the DFG Priority Programme 1962
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
DFG Schwerpunktprogramm 1962
WIAS Berlin
 Wednesday, 26.10.2016, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Dr. Alexander Mielke, WIAS Berlin:
Global entropy entropyproduction estimates for energyreactiondiffusion systems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Tuesday, 25.10.2016, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Valeriy Avanesov, WIAS Berlin:
Bootstrap for highdimentional online multiscale covariance matrix changepoint detection
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
During this talk I will present a novel approach (arXiv:1610.03783 [math.ST]) for an important problem of change point detection. Specifically, we are interested in detection of an abrupt change in the covariance structure of a highdimensional random process  a problem, which has applications in biostatistics and econometrics. The developed approach is essentially a significance testing procedure requiring a proper choice of a critical level. To that end a nonstandard bootstrap scheme is proposed and theoretically justified under mild assumptions. The idea of the proof and the simulation study will be discussed as well.
Host
WIAS Berlin
 Tuesday, 25.10.2016, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Dr. Wolfgang Iff, Université Jean Monnet, Frankreich:
Rigorous and extremely fast electromagnetic methods for diffraction problems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Friday, 21.10.2016, 15:00 (WIASESH)
 Seminar Nichtglatte Variationsprobleme und Operatorgleichungen
Dr. Martin Holler, KarlFranzensUniversität Graz, Österreich:
Higher order regularization and applications to medical image processing and data decompression
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Variational methods are a powerful tool for tackling illposed problems in image processing. As such, they rely heavily on appropriate regularization terms which render a stable recovery possible and strongly influence qualitative solution properties. In this talk, we consider regularization concepts for both static and dynamic data that are based on higher order differentiation. Beginning with the static setting, we first discuss analytical properties of Total Generalized Variation (TGV) regularization which allow for wellposedness results for standard inverse problems. We then consider the application of TGV in the context of a variational model for image decompression, being in particular applicable to JPEG or JPEG 2000 compressed images. As second application, we introduce a nuclearnormbased vectorial TGV functional for joint MRPET reconstruction that exploits structural similarities between the two modalities. Moving to the dynamic setting, we motivate and introduce a suitable extension of derivative based regularization for spatiotemporal data. After establishing essential analytical properties, we deal with applications to the reconstruction of highly subsampled dynamic MR data and the decompression of MPEG compressed movies.
Host
WIAS Berlin
 Wednesday, 19.10.2016, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Karoline Disser, WIAS Berlin:
Global existence and uniqueness for some dissipative systems with bulkinterface interaction
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 19.10.2016, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Dr. Itai Dattner, University of Haifa, Israel:
Statistical learning of dynamic systems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Dynamic systems are ubiquitous in nature and are used to model many processes in biolo gy, chemistry, physics, medicine, and engineering. In particular, systems of (deterministic or stochastic) differential equations are commonly used for the mathematical modeling of the rate of change of dynamic processes. These systems describe the interrelationships between the variables involved, and depend in a complicated way on unknown quantities (e.g., initial values, constants or time dependent parameters). Learning dynamic systems involves the ßtandard" statistical problems such as studying the identifiability of a model, estimating model parameters, predicting future states of the system, testing hypotheses, and choosing the "best" model. However, modern dynamic systems are typically very complex: nonlinear, high dimensional and only partly measured. Moreover, data may be sparse and noisy. Thus, statistical learning (inference, prediction) of dynamical systems is not a trivial task in practice. In this talk we will present some recent theoretical results and methodologies concerning identifiability and estimation of dynamic systems. We will also discuss real data examples coming from diverse areas such as infectious diseases and biology.
Further Informations
Forschungsseminar “Mathematische Statistik”
Host
HumboldtUniversität zu Berlin
SFB 649: Ökonomisches Risiko
Universität Potsdam
WIAS Berlin
 Tuesday, 18.10.2016, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Kirill Efimov, WIAS Berlin:
Adaptive weights clustering AWC
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 18.10.2016, 10:00 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Carina Geldhauser, WIAS Berlin:
Semidiscrete schemes for forwardbackward parabolic PDEs
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Wednesday, 12.10.2016, 14:00 (WIASHVP)
 Seminar Nichtglatte Variationsprobleme und Operatorgleichungen
Carina Geldhauser, WIAS Berlin:
Scaling limits of interacting diffusions
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 4. Etage, Raum: 4.01
Abstract
In this talk we consider a system of N coupled stochastic differential equations, which we interpret as a system of N particles evolving according to the dynamics given by the SDEs. Due to the properties of the driving force and the noise, the limit as N goes to infinity does not lead in general to a wellposed equation. We develop conditions on the interaction strength between the particles to ensure existence of solutions to the limiting stochastic PDE. Moreover, we investigate the longtime behaviour of the solution. This is joint work with Anton Bovier.
Host
WIAS Berlin
 October 12 – 14, 2016 (WIASESH)
 Workshop/Konferenz: Dynamics of Delay Equations, Theory and Applications
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Tuesday, 11.10.2016, 16:00 (WIASESH)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Christian Bayer, WIAS Berlin:
Smoothing the payoff for efficient computation of basket option
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Smoothing the payoff for efficient computation of basket optionAbstract: We consider the problem of pricing basket options in a multivariate BlackScholes or VarianceGamma model. From a numerical point of view, pricing such options corresponds to moderate and highdimensional numerical integration problems with nonsmooth integrands. Due to this lack of regularity, higher order numerical integration techniques may not be directly available, requiring the use of methods like Monte Carlo specifically designed to work for nonregular problems. We propose to use the inherent smoothing property of the density of the underlying in the above models to mollify the payoff function by means of an exact conditional expectation. The resulting conditional expectation is unbiased and yields a smooth integrand, which is amenable to the efficient use of adaptive sparsegrid cubature. Numerical examples indicate that the highorder method may perform orders of magnitude faster than Monte Carlo or Quasi Monte Carlo methods in dimensions up to 25.(Joint work with Markus Siebenmorgen und Raul Tempone)
Host
WIAS Berlin
 Tuesday, 11.10.2016, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Jonas Gienger, PhysikalischTechnische Bundesanstalt:
Application of inverse light scattering by a single red blood cell
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 27.09.2016, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Jakob Sonntag, Technische Universität Berlin:
Feedbackcontrol of the Schlögl model
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Thursday, 22.09.2016, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Dr. Oleksandr Chvartatskyi, MaxPlanck Institute for Dynamics and SelfOrganisation:
NLS breathers, rogue waves, and solutions of the Lyapunov equation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The infinite families of Peregrine, Akhmediev and KuznetsovMa breather solutions of the focusing Nonlinear Schroedinger (NLS) equation are obtained via a matrix version of the Darboux transformation, with a spectral matrix of the form of a Jordan block. We prove regularity of these solutions using properties of the Lyapunov equation.
Host
WIAS Berlin
 Thursday, 22.09.2016, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Dr. Patricio Farrell, WIAS Berlin:
ScharfetterGummel schemes for nonBoltzmann statistics
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
When modelling semiconductor devices via the van Roosbroeck system one ofen uses statistical functions to describe the correspondence between carrier densities and chemical potentials. For 3D bulk semiconductors the most general choice is given by the FermiDirac integral of order 1/2. However, how to numerically solve the van Roosbrock in this general (nonBoltzmann) case is still an open problem. We will present and compare several methods to generalise the wellknown ScharfetterGummel scheme. Our main goal is to discretely preserve important properties from the continuous system such as existence and uniqueness of the solution, consistency with the thermodynamical equilibrium and unconditional stability. We also show how these new numerical schemes can be efciently implemented for 2D and 3D applications.
Host
WIAS Berlin
 Wednesday, 21.09.2016, 10:00 (WIASESH)
 Seminar Partielle Differentialgleichungen
Prof. Dr. Luca Heltai, SISSA, Trieste/Italy:
Problem solving at realistic complexities using the deal.II library
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The practical numerical solution of realworld problems has many levels of complexities. A single method, or a single algorithm, is often not sufficient to address realistic problems from applied sciences and engineering. For example, it is common for a finite element code to use fully adaptive, unstructured meshes; nonlinear, globalized solvers; algebraic multigrid; block preconditioners; or nonlinear material properties. Reallife programs usually need to run on thousands of processors, often with different architectures, and they generate (or manipulate) gigabytes (often petabytes) of data at each run. Codes at this level of complexity can no longer be written from scratch by a single person, and not even by a consistent group of well prepared PhD students. However, over the past decade, many high quality libraries and tools have been developed that make writing advanced computational software simpler. In this talk I will briefly introduce the deal.II finite element library (http://www.dealii.org), and I will show some examples of its application in reallife problems, with a focus on the lessons learned from developing this massively parallel library for the solution of complex problems.
Further Informations
Partielle Differentialgleichungen
Host
WIAS Berlin
 Tuesday, 20.09.2016, 15:15 (WIASESH)
 Seminar Laserdynamik
Dr. Simona Olmi, WIAS Berlin:
Dynamics of fully coupled rotators with unimodal and bimodal frequency distribution
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We analyze the synchronization transition of a globally coupled net work of N phase oscillators with inertia (rotators) whose natural frequencies are unimodally or bimodally distributed. In the unimodal case [1], the system exhibits a discontinuous hysteretic transition from an incoherent to a partially synchronized (PS) state. For sufficiently large inertia, the system reveals the coexistence of a PS state and of a standing wave (SW) solution. In the bimodal case [2], the hysteretic synchronization transition involves several states. Namely, the system becomes coherent passing through traveling waves (TWs), SWs and finally arriving to a PS regime. The transition to the PS state from the SW occurs always at the same coupling, independently of the system size, while its value increases linearly with the inertia. On the other hand the critical coupling required to observe TWs and SWs increases with N suggesting that in the thermodynamic limit the transition from incoherence to PS will occur without any intermediate states. Finally a linear stability analysis reveals that the system is hysteretic not only at the level of macroscopic indicators, but also microscopically as verified by measuring the maximal Lyapunov exponent. [1] S. Olmi, A. Navas, S. Boccaletti and A. Torcini, ?Hysteretic transi tions in the Kuramoto model with inertia?, Physical Review E, 90(4), p.042905. [2] S. Olmi and A. Torcini, ?Dynamics of fully coupled rotators with unimodal and bimodal frequency distribution?, Control of SelfOrganizing Nonlinear Systems. Springer International Publishing, 2016. 2545.
Host
WIAS Berlin
 Tuesday, 20.09.2016, 10:15 (WIASHVP4.13)
Stefanie Winkelmann, FU Berlin:
The spatiotemporal chemical master equation
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 4. Etage, Raum: 4.13
Abstract
Accurate modeling and stochastic simulation of molecular reaction kinetics is a field of broad interest. Depending on the particles? concentration, their mobility and reactivity, different mathematical models are appropriate. We consider reactiondiffusion systems in which the space of motion naturally decomposes into sets of metastability and diffusion can be approximated by jumps between the sets. Within each set, the relevant species are considered as wellmixed such that the reaction dynamics can be described on the level of a chemical master equation. In combination, this leads to the spatiotemporal chemical master equation (STCME) in which states have a spatial interpretation and diffusion is modeled by firstorder reactions. We analytically derive the STCME from particlebased dynamics by means of Galerkin projections and generate stochastic simulations of the underlying jump processes for relevant reactiondiffusion systems.
Host
WIAS Berlin
 Thursday, 15.09.2016, 14:00 (WIAS406)
 Seminar Numerische Mathematik
Prof. Jonathan Shewchuk, University of California at Berkeley, USA:
Restricted constrained delaunay triangulations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Surface meshes are used extensively in computer graphics, boundary element methods, and many other applications. Researchers have sought surface triangulations that have formal mathematical properties similar to those enjoyed by Delaunay triangulations in the plane. They succeeded by inventing the "restricted Delaunay triangulation," which is a subcomplex of the threedimensional Delaunay triangulation. In other words, given a smooth surface embedded in threedimensional space, we compute a set of points lying on the surface, we compute the 3D Delaunay triangulation of those points, and we select a subset of its triangles to serve as a triangulation of the surface. This subset of triangles, the restricted Delaunay triangulation, has proven itself as a mathematically powerful tool for surface meshing and surface reconstruction.
I address a question of Bruno Levy: can we constrain restricted Delaunay triangulations to include specified edges? That is, can we define a mathematically wellbehaved, Delaunaylike, edgeconstrained triangulation on a smooth surface? We do so by defining a specialized Voronoi diagram on the surface, then dualizing it to obtain a triangulation. But to force specified edges to appear in this triangulation, we must perform topological surgery on the surface...and that's where things get weird and interesting.
(This work is done jointly with Marc Khoury, Bruno Levy, and Marc van Kreveld.)
Bio:
Jonathan Shewchuk is a Professor in the Department of Electrical Engineering and Computer Sciences at UC Berkeley. He is best known for his software Triangle for highquality triangular mesh generation, which won the 2003 James Hardy Wilkinson Prize in Numerical Software, and his "Introduction to the Conjugate Gradient Method Without the Agonizing Pain." His book "Delaunay Mesh Generation," written jointly with SiuWing Cheng and Tamal Dey, is available from CRC Press.
Host
WIAS Berlin
 Wednesday, 14.09.2016, 15:15 (WIAS405406)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Jin Feng, University of Kansas, USA:
HamiltonJacobi PDEs in the space of probability measures, the metric nature explored
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstract
HamiltonJacobi PDE in the space of probability measure is a new class of PDE. We give two examples. The first example concerns a statistical mechanics application where the equation is derived by probabilists studying GibbsNonGibbs transitions in the Netherlands community. Through a method by the speaker and Tom Kurtz, the equation's uniqueness will rigorously give the large deviation principle. However, this uniqueness problem is still open. This problem has a hidden spatial translation invariance. The second example concerns the variational formulation of a compressible Euler equation in continuum mechanics. The probability measure is just the density profile of infinite particles. The HamiltonJacobi equation characterizes the canonical transformations and is expected to give useful information on the large time dynamics of the EulerLagrange equation (AubryMather theory for instance). We have now a wellpodesness theory for this equation. This example has a hidden particle permutation invariance in the density profile representation In the rigorous part of this talk, I focus on explaining how the wellposedness in the mechanical application is solved. An important observation is that the space of probability measure is best viewed as an infinite dimensional quotient space in this context. The quotient structure comes from particle permutation symmetry. To treat a PDE in such an infinitely folded space, we devise techniques based on the metric space analysis and the Wasserstein spaces. A key step is the use of geometric tangent cone concept in characterizing the velocity variables. Admissible velocity fields are more than function valued, they are relaxed to belong to a subspace of the space of Markov transition kernels. This augmentation of the tangent space is essential to allow us distinguish curves with mass condensation property in the physical space density profile variable with other curves without such feature in the Hamiltonian formulation. The infinitely folded space structure here also has an intrinsic connection with the space of random variables. In studying the meanfield game theory, P.L. Lions setup some HamiltonJacobi equation in the space of random variables. A connection between the measure formulation here and the randomvariable formulation there are conceptually possible but many questions are still left open.
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 September 12 – 16, 2016 (WIASESH)
 Workshop/Konferenz: WIAS/GAMM/TUM Summer School on Uncertainty Quantification 2016
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
https://www.wiasberlin.de/workshops/uqschool16/
Host
GAMM (AG UQ)
Technische Universität München
WIAS Berlin
 September 8 – 9, 2016 (WIASESH)
 Workshop/Konferenz: 1st Leibniz MMS Mini Workshop on CFD & GFD
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Tuesday, 30.08.2016, 15:00 (WIAS406)
 Seminar Partielle Differentialgleichungen
Mario Varga, Technische Universität Dresden:
Homogenization via stochastic unfolding
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Twoscale convergence methods have been proven to be convenient tools in homogenization of various equations. Problems with rapidly oscillating periodic coefficients are treated using the notion of twoscale convergence. The development of the periodic unfolding operator facilitated a simpler twoscale analysis of such problems by embedding sequences of oscillating functions into an appropriate twoscale space. The notion of stochastic twoscale convergence in the mean has been used to obtain homogenization results for problems involving oscillating random and stationary coefficients. We adapt this notion to the setting of functions defined on a discrete physical space by introducing an appropriate stochastic unfolding operator. We investigate the properties of this operator which provides a basis for a simple method for convex homogenization.
Further Informations
Seminar Partielle Differentialgleichungen
Host
WIAS Berlin
 Tuesday, 23.08.2016, 16:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Prof. Alexander Goldenschluger, University of Haifa, Israel:
Statistical inference for the M/G/infinity queue
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
The subject of this talk is statistical inference on the service time distribution and its functionals in the M/G/infty queue from incomplete data. We consider two observation settings and discuss different approaches to constructing estimators. We develop estimators of the service time distributions and derive exact nonasymptotic bounds on their mean squared errors. The problem of estimating the service time expectation is addressed as well. We present some results on comparison of different estimators of the service time distribution.
Further Informations
Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Host
WIAS Berlin
 Thursday, 18.08.2016, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Albert Chern, TU Berlin:
Fluid simulation using incompressible Schrödinger flow
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Simulation of incompressible fluids has been a challenging numerical task in computer graphics as well as in many areas of science.. We describe a new approach for the purely grid based simulation of incompressible fluids. In it, the fluid state is represented by a wave function evolving under the Schrödinger equation subject to incompressibility constraints. The underlying dynamics satisfies the Euler equation modified with a LandauLifshitz term. The latter ensures that dynamics due to thin vortical structures are faithfully reproduced. This enables robust simulation of intricate phenomena such as vortical wakes and interacting vortex filaments, even on modestly sized grids. The numerical algorithms for time evolution are exceedingly simple. In the talk I will also discuss the underlying theory which reveals fascinating connections between classical fluids, quantum mechanics, super fluids, LandauLifshitz theory of ferromagnetic material, and the geometry of the 3hypersphere.
Host
WIAS Berlin
 August 15 – 19, 2016 (TUH1058)
 Workshop/Konferenz: Conference in Honor of the 75th Birthday of S.R.S. Varadhan
more ... Location
Technische Universität, Straße des 17. Juni 135, 10623 Berlin, Main building, Room H 1058
Host
Technische Universität Berlin
WIAS Berlin
 August 12 – 15, 2016 (WIASESH)
 Workshop/Konferenz: 5th Annual ERC BerlinOxford Young Researchers Meeting on Applied Stochastic Analysis
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
European Research Council
WIAS Berlin
 Thursday, 04.08.2016, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Philip Lederer, TU Wien, Österreich:
An exact divergencefree reconstruction operator for the TaylorHood element
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this talk we focus on a wellknown issue of discretization techniques for the incompressible (Navier) Stokes equations. The numerical solution is only discrete divergencefree, which may have a major impact on quantitative and qualitative properties of the solution. In recent years Alexander Linke and cooperators developed a methodology to reconstruct exactly divergencefree solutions from discrete divergencefree ones, and use this operator within the Navier Stokes solver. In this work we extend this approach from discontinuous pressure elements to continuous pressure elements including the popular TaylorHood element. While for discontinuous pressures the reconstruction operator is given by elementwise local procedures, we have to extend the construction to vertex or element patches. The reconstruction leads to non conforming methods, where the consistency error is estimated in dual norms. Convergence of optimal order is proven (see [1]). The method is implemented in NGSPy which is based on the nite element library Netgen/NGSolve. Several examples are presented.
References
[1] P. Lederer. Pressure Robust Discretizations for Navier Stokes Equations: Divergencefree Reconstruction for TaylorHood Elements and High Order Hybrid Discontinuous Galerkin Methods. Master's thesis, TU Wien, Austria, 2016.
Host
WIAS Berlin
 Thursday, 28.07.2016, 10:00 (WIASESH)
 Seminar Laserdynamik
Prof. Dmitry Turaev, Imperial College London, GB:
Adiabatic acceleration in quantum mechanical systems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We discuss how the adiabatic evolution of a quantummechanical system due to the slow and periodic change of system parameters can lead to an exponential growth of the energy. This contradicts, at first glance, to the quantum adiabatic theorem, however we show that periodic creation and destruction of an additional quantum integral leads to the adiabatic level crossing necessary for the acceleration. As an example, we consider the Schroedinger equation in a periodically divided and reconnected domain.
Further Informations
Seminar Laserdynamik
Host
WIAS Berlin
 July 25 – 29, 2016 (ZIBSEM)
 Workshop/Konferenz: Patterns of Dynamics
more ... Location
ZuseZentrum für Informationstechnik (ZIB), Takustr. 7, 14195 Berlin, Seminarraum
Host
Freie Universität Berlin
Technische Universität Berlin
WIAS Berlin
SFB 910 “Control of selforganizing nonlinear systems: Theoretical methods and concepts of application”
HumboldtUniversität zu Berlin
 Thursday, 21.07.2016, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Dr. Alexander Pimenov, WIAS Berlin:
Temporal localized structures in the DDE model of a ring semiconductor laser under optical injection
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Thursday, 21.07.2016, 15:00 (WIASHVP)
 Seminar Nichtglatte Variationsprobleme und Operatorgleichungen
Tobias Keil, HU Berlin:
Strong stationarity conditions for the optimal control of a CahnHilliardNavierStokes system
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 4. Etage, Raum: 4.01
Further Informations
Seminar Nichtglatte Variationsprobleme und Operatorgleichungen
Host
WIAS Berlin
 Thursday, 21.07.2016, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Dr. Abdul Wahab, Korea Advanced Institute of Science & Technology:
A noniterative algorithm for elastography using joint sparsity
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We present a novel noniterative algorithm for reconstruction of multiple small elastic inclusions and identication of their Lame parameters from discrete boundary measurements of the scattered elastic field. The inclusions with variable parameters are assumed to be compactly embedded in a homogeneous background elastic medium. We first derive a LippmannSchwinger type integral representation for the scattered field inside the inclusions. Then, we formulate the detection problem as a joint sparse recovery and present an efficient noniterative location search algorithm using tools borrowed from compressed sensing literature. Using a slightly modified algorithm, we reconstruct the material parameters of the inclusions once their spatial support is identified. The efficiency and robustness of the algorithm are substantiated through numerical illustrations. This work is motivated by pertinent applications in magnetic resonance elastography and can cater to a broad range of inverse scattering problems in elastic media.
Host
WIAS Berlin
 Wednesday, 20.07.2016, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Dr. Francis Bach, INRIA, Paris, Frankreich:
Beyond stochastic gradient descent for largescale machine learning
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Many machine learning and statistics problems are traditionally cast as convex optimization problems. A common difficulty in solving these problems is the size of the data, where there are many observations ("large n") and each of these is large ("large p"). In this setting, online algorithms such as stochastic gradient descent which pass over the data only once, are usually preferred over batch algorithms, which require multiple passes over the data. Given n observations/iterations, the optimal convergence rates of these algorithms are O(1/sqrtn) for general convex functions and reaches O(1/n) for stronglyconvex functions. In this talk, I will show how the smoothness of loss functions may be used to design novel simple algorithms with improved behavior, both in theory and practice: in the ideal infinitedata setting, an efficient novel Newtonbasedstochastic approximation algorithm leads to a convergence rate of O(1/n) without strong convexity assumptions. (joint work with Alexandre Defossez, Aymeric Dieuleveut, Nicolas Flammarion, and Eric Moulines)
Host
HumboldtUniversität zu Berlin
SFB 649: Ökonomisches Risiko
Universität Potsdam
WIAS Berlin
 Tuesday, 19.07.2016, 16:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Sebastian Boeckel, HumboldtUniversität zu Berlin:
Highdimensional nonparametric hypothesis testing using MongeKantorovichdepth
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
How to talk about quantiles, ranks and signs of a measure in R^d with d>1? MongeKantorovichdepth is a proposal for the generalization of these concepts to higher dimensions. It is proposed to evaluate the optimal transport map (wrt. to quadratic risk) of the measure into the uniform distribution of the unit ball. It can be shown, that these notions specialize to their usual counterparts in d=1 and for elliptic families and that it can be empirically evaluated. As an application it is proposed to test nonparametric hypothesis in a highdimensional setting.
Host
WIAS Berlin
 Thursday, 14.07.2016, 16:00 (WIAS406)
 Forschungsseminar Mathematische Modelle der Photonik
Michael Hofmann, WIAS Berlin:
Adiabatisches FloquetResonanzModell für die LichtMaterieWechselwirkung in Femtosekundenfilamenten
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Thursday, 14.07.2016, 10:00 (WIAS406)
 AnalysisStochastikSeminar
Dr. Robert I. A. Patterson, WIAS Berlin:
Jump Process Convergence IV
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
AnalysisStochastikSeminar
Host
WIAS Berlin
 July 14 – 15, 2016 (WIASESH)
 Workshop/Konferenz: New Methods in Extension Theory applied to Quantum Mechanics
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Wednesday, 13.07.2016, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Hannes Meinlschmidt, Technische Universität Darmstadt:
The KellerSegel model is wellposed
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 13.07.2016, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Vladimir Ulyanov, Lomonosov Moscow State University, Russische Föderation:
Nonasymptotic analysis  general approach
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
First we give short review on recent approximation results for nonlinear forms in independent random elements including asymptotic expansions (see, e.g., [1]). The errors of approximations could be described either in asymptotic way as an order of a remainder term with respect to number n of random elements or in nonasymptotic form as a bound for remainder term with dependence on n, moment characteristics and dimension p of random elements or observations (see, e.g., Chapters 1316 in [2]). The results are obtained by very dierent techniques such as expanding the characteristic function of the particular statistic or applying the expansions for convolutions. We show that for most of these expansions one could safely ignore the underlying probability model and its ingredients (like, e.g., proof of existence of limiting processes and its properties). Indeed, similar expansions and error bounds can be derived using a general scheme reecting some (hidden) common features. This is the universal collective behavior caused by many independent asymptotically negligible variables inuencing the distribution of a functional. The following scheme of sequences of symmetric functions is studied. Let hn("; :::; "n); n 1; denote a sequence of real functions dened on Rn and suppose that the following conditions hold: hn+1("1; :::; "j ; 0; "j+1; :::; "n) = hn("1; :::; "j ; "j+1; :::; "n); @ @"j hn("1; :::; "j ; :::; "n) "j=0 = 0 for all j = 1; :::; n; hn("(1); :::; "(n)) = hn("1; :::; "n) for all 2 Sn; where Sn denotes the symmetric group. The conditions on hn ensure the existence of a limit function as a rst order approximation of hn together with Edgeworthtype asymptotic expansions and error bounds in terms of j"jd := Pn i=1 j"ijd (see details in [3]). The applications of the results to the corresponding examples, e.g. for high order Ustatistics, KolmogorovSmirnov statistic and Free Central Limit theorem, will be discussed as well. In the second part of the talk we consider high dimensional approximation problems when the dimension p of random elements or observations is comparable with its number n.
Host
HumboldtUniversität zu Berlin
SFB 649: Ökonomisches Risiko
Universität Potsdam
WIAS Berlin
 Tuesday, 12.07.2016, 16:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Prof. Peter Friz, WIAS Berlin/TU Berlin:
Asymptotics in rough stochastic volatility models
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Tuesday, 12.07.2016, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Prof. Matthias Heinkenschloss, Rice University, USA:
A parallelintime gradienttype method for optimal control problems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
A new parallelintime gradient type method for the solution of time dependent optimal control problems is introduced. Each iteration of the classical gradient method requires the solution of the forwardintime state equation followed by the solution of the backwardintime adjoint equation to compute the gradient. To introduce parallelism, the time steps are split into N groups corresponding to time subintervals. At the time subinterval boundaries state and adjoint information from the previous iteration is used. On each time subinterval the forwardintime state equation is solved, the backwardintime adjoint equation is solved, gradienttype information is generated, and the control are updated. These computations can be performed in parallel across time subintervals. State and adjoint information at time subinterval boundaries is then exchanged with neighboring subintervals and the process is repeated. Applied to a finite dimensional convex linear quadratic discrete time optimal control (DTOC) problem, this method can be interpreted as a socalled (2N1)part iteration scheme. Convergence of this new method applied to convex linear quadratic DTOC problems is proven for sufficiently small step sizes. Numerical examples on a 3D parabolic advection diffusion control problem and on a well rate optimization problem for a twophase immiscible reservoir show good speedup of the new method.This is joint work with Xiaodi Deng.
Host
WIAS Berlin
 Thursday, 07.07.2016, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Markus Kantner, WIAS Berlin:
Modeling and simulation of injection dynamics for quantum dot based singlephoton sources
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Thursday, 07.07.2016, 10:00 (WIAS406)
 AnalysisStochastikSeminar
Dr. Robert I. A. Patterson, WIAS Berlin:
Jump Process Convergence III
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
AnalysisStochastikSeminar
Host
WIAS Berlin
 Thursday, 07.07.2016, 10:00 (WIASESH)
 Seminar Laserdynamik
Dr. Stephan Bialonski, MaxPlanckInstitut für Physik komplexer Systeme:
Predicting and preventing extreme events in a spatially extended excitable system
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Extreme events occur in many spatially extended systems and can threaten human life. Their reliable prediction and prevention is thus highly desirable. We study the prediction and prevention of extreme events in a spatially extended system, a network of FitzHughNagumo units, in which events occur in a spatially and temporally irregular way. Despite being challenged by the rareness of events and without knowing the governing equations of motion, we can predict  with a datadriven method  the beginning, propagation, and termination of extreme events in this system remarkably well. We suppress extreme events via tiny and spatiotemporally localized perturbations which are guided by our predictions. We discuss how symmetries in the system could be exploited for better forecast performance.
Host
WIAS Berlin
 Wednesday, 06.07.2016, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Dr. Leonid Pestov, Immanuel Kant Baltic Federal University, Kaliningrad/Russische Föderation:
On determining an absorption coefficient and a speed of sound in the wave equation by the boundary control method
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We consider the inverse multidimensional problem for the wave equation with unknown variable speed and absorption. A linear procedure based on the boundary control method for determining both coffcients is proposed.
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 06.07.2016, 11:30 (WIAS405406)
Lorenzo Mazzieri, Università di Trento, Italien:
Monotonicity formulas for electrostatic potentials and static metrics: Part II
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Host
WIAS Berlin
 Wednesday, 06.07.2016, 10:30 (WIAS405406)
Virginia Agostiniani, Scuola Internazionale Superiore di Studi Avanzati, Italien:
Monotonicity formulas for electrostatic potentials and static metrics: Part I
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Host
WIAS Berlin
 Wednesday, 06.07.2016, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Dr. Arthur Gretton, University College London, UK:
Nonparametric statistical tests using kernels
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
I will describe a kernel approach to hypothesis testing, based on a representation of probability distributions in a reproducing kernel Hilbert space. I will rst derive a metric as the distance between these representations. Next, I will describe both tests of homogeneity (of whether two samples are from the same distribution), and of independence (of whether a joint distribution factorises into a product of marginals). More recent work will follow, including statistical tests for random processes (for instance, to compare marginal distributions of Markov chains), tests for multivariable interaction, and a test of goodnessoft based on Stein's method. This last test can be used even if the reference distribution is known only up to a normalising constant, making it suited to benchmarking MCMC and to statistical model criticism.
Further Informations
Forschungsseminar “Mathematische Statistik”
Host
HumboldtUniversität zu Berlin
SFB 649: Ökonomisches Risiko
Universität Potsdam
WIAS Berlin
 Tuesday, 05.07.2016, 16:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Joaquim Serra, WIAS Berlin:
American option pricing with Lévy diffusion: an introduction to nonlocal equations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In the last decade, there has been an explosion of papers studying nonlocal equations within the PDE community. Some of the main applied motivations come from mathematical finance. Many outstanding mathematicians have updated the old PDE tools, and developed new ones when necessary, in order to study in depth nonlinear elliptic and parabolic nonlocal equations. In this talk, I would like to present, from a very broad perspective, some recent results in collaboration with L. Caffarelli and X. RosOton on the optimal regularity of the solutions and the regularity of the free boundaries (near regular points) for nonlocal obstacle problems. These problems arise in pricing of American options under nonGaussian diffusion of the underlying stock price. The talk will be oriented to a broad audience with expertise and interest in modeling and not necessarily in regularity theory.. The previous research results will serve more as a context rather that being the main goal of the talk. I would like to introduce the basics on nonlocal equations, and to briefly explain its theoretical interest also discussing with the audience its applied interest. Last, I would like to discuss with the audience, in a very open way, what are the best current models (arising from data analysis) for option pricing. The true goal of the talk will be to raise the following (very ambitious perhaps) question: What is The Equation to be studied, now that we have very flexible methods?
Host
WIAS Berlin
 Tuesday, 05.07.2016, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Dr. Andrea Mantile, Université de Reims, Frankreich:
Selfadjoint operators with boundary conditions on not closed hypersurfaces and the direct scattering problem
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
The abstract theory of selfadjoint extensions of symmetric operators is used to construct selfadjoint realizations of Schrödingertype operators with linear boundary/interface conditions on (a relatively open part of) a compact hypersurface in nD. Our approach allows to obtain Kreinlike resolvent formulae where the reference operator coincides with the free operator corresponding to our model, i.e.: the Schrödinger operator defined on regular functions without interface conditions. This provides an useful tool for the scattering problem from a hypersurface. Schattenvon Neumann estimates for the difference of the powers of resolvents (of the free and the perturbed models) yield the existence and completeness of the wave operators of the associated scattering systems, while a limiting absorption principle for singular perturbations allows us to obtain the generalized eigenfunctions and the scattering matrix; both these objects are written in terms of operatorvalued Weyl functions.This is a joint work with A. Posilicano and M. Sini
Host
WIAS Berlin
 Thursday, 30.06.2016, 16:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Sabrina Pickartz, WIAS Berlin:
Numerical optimisation of alloptical switching
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Thursday, 30.06.2016, 15:00 (WIASHVP)
 Seminar Nichtglatte Variationsprobleme und Operatorgleichungen
Dr. Amal Alphonse, University of Warwick:
Parabolic PDEs on evolving spaces and some applications
more ... Location
WeierstraßInstitut, Hausvogteiplatz 11A, 10117 Berlin, 4. Etage, Raum: 4.01
Host
WIAS Berlin
 Thursday, 30.06.2016, 10:00 (WIAS406)
 AnalysisStochastikSeminar
Dr. Robert I. A. Patterson, WIAS Berlin:
Jump Process Convergence II
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
AnalysisStochastikSeminar
Host
WIAS Berlin
 Wednesday, 29.06.2016, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. PierreEtienne Druet, WIAS Berlin:
Existence of weak solutions for improved NernstPlanckPoisson models of compressible reacting electrolytes
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Tuesday, 28.06.2016, 16:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Artem Sapozhnikov, MaxPlanckInstitut für Mathematik in den Naturwissenschaften Leipzig .:
Geometric aspects of random walks on large tori
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In this talk, we consider the fragmentation of a discrete ddimensional torus (d>=3) by a simple random walk, a basic mathematical model for the gel degradation by an enzyme. We overview recent results and open problems about geometric properties of the random walk trace and its complement on relevant time scales.
Host
WIAS Berlin
 Tuesday, 28.06.2016, 15:15 (WIASESH)
 Oberseminar Nonlinear Dynamics
Mike Field, Imperial College London:
Functional asynchronous networks: Factorization of dynamics and function
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We describe the theory of functional asynchronous networks and one of the main results, the Modularization of Dynamics Theorem, which for a large class of functional asynchronous networks gives a description of dynamics and function in terms of properties of constituent subnetworks. For these networks we can give a complete description of the network function in terms of the function of the events comprising the network and thereby answer a question originally raised by Alon in the context of biological networks: ?Ideally, we would like to understand the dynamics of the entire network based on the dynamics of the individual building blocks.? (page 27, An Introduction to Systems Biology, Uri Alon.)
Host
WIAS Berlin
Freie Universität Berlin
 Tuesday, 28.06.2016, 13:30 (WIASESH)
 Seminar Numerische Mathematik
Prof. Weizhang Huang, University of Kansas, USA:
A new implementation of the MMPDE moving mesh method and applications
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The MMPDE moving mesh method is a dynamic mesh adaptation method for use in the numerical solution of partial differential equations. It employs a partial differential equation (MMPDE) to move the mesh nodes continuously in time and orderly in space while adapting to evolving features in the solution of the underlying problem. The MMPDE is formulated as the gradient flow equation of a meshing functional that is typically designed based on geometric, physical, and/or accuracy considerations. In this talk, I will describe a new discretization of the MMPDE which gives the mesh velocities explicitly, analytically, and in a compact matrix form. The discretization leads to a simple, efficient, and robust implementation of the MMPDE method. In particular, it is guaranteed to produce nonsingular meshes. Some applications of the method will be discussed, including mesh smoothing (to improve mesh quality), generation of anisotropic polygonal meshes, and the numerical solution of the porous medium equation and the regularized longwave equation.
Host
WIAS Berlin
 Tuesday, 28.06.2016, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Marta Piñeiro, University of Santiago de Compostela, Spanien:
MaxFEM: An open source software for numerical simulations in electromagnetism
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
MaxFEM is an open source software to numerically solve electromagnetic problems in the lowfrequency regime by using the finite element method. The package brings together, under a single interface, different modules that can address problems in electrostatics, direct current, magnetostatics, transient magnetics and eddy currents, in two and/or three dimensions and in cartesian and/or cylindrical coordinates. MaxFEM also provides a powerful visualization tool to display the simulation results either in two or three dimensions.MaxFEM users can perform internal changes to both the interface and the contained calculus programs in order to adapt the software to their needs. Moreover, thanks to the modular structure of the interface, it is possible to incorporate other models and even other types of simulations based on finite element techniques (e.g., thermal coupled electromagnetics). Under the GPL license, anyone can include its own application and redistribute the software.
MaxFEM was developed within the Research Group in Mathematical Engineering, Department of Applied Mathematics, University of Santiago de Compostela, in collaboration with the Supercomputing Center of Galicia (CESGA).
Host
WIAS Berlin
 Monday, 27.06.2016, 14:00 (WIASESH)
 INSTITUTSKOLLOQUIUM
Prof. Dr. Hermann G. Matthies, TU Braunschweig, Institut für Wissenschaftliches Rechnen:
Probability, Analysis, and Numerics
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Probability theory was axiomatically built on the concept of measure by A. Kolmogorov in the early 1930s, giving the probability measure and the related integral as primary objects and random variables, i.e. measurable functions, as secondary. Not long after Kolmogorov´s work, developments in operator algebras connected to quantum theory in the early 1940s lead to similar results in an approach where algebras of random variables and the expectation functional are the primary objects. Historically this picks up the view implicitly contained in the early probabilistic theory of the Bernoullis.
This algebraic approach allows extensions to more complicated concepts like noncommuting random variables and infinite dimensional function spaces, as it occurs e.g. in quantum field theory, random matrices, and tensorvalued random fields. It not only fully recovers the measuretheoretic approach, but can extend it considerably. For much practical and numerical work, which is often primarily concerned with random variables, expections, and conditioning, it offers an independent theoretical underpinning. In short words, it is "probability without measure theory".
This functional analytic setting has also strong connections to the spectral theory of linear operators, where analogies to integration are apparent if they are looked for. These links extend in a twofold way to the concept of weak distribution, which describes probability on infinite dimensional vector spaces. Here the random elements are represented by linear mappings, and factorisations of linear maps are intimately connected with representations and tensor products, as they appear in numerical approximations.
Taking this conceptual basis of vector spaces, algebras, linear functionals, and operators gives a fresh view on the concepts of expectation and conditioning, as it occurs in applications of Bayes´s theorem.
Host
WIAS Berlin
 Thursday, 23.06.2016, 10:00 (WIAS406)
 AnalysisStochastikSeminar
Dr. Robert I. A. Patterson, WIAS Berlin:
Jump Process Convergence I
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Further Informations
AnalysisStochastikSeminar
Host
WIAS Berlin
 Wednesday, 22.06.2016, 15:15 (WIAS406)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Prof. Dr. Leonid Kunyansky, University of Arizona, USA:
Inversion of the spherical means transform by reduction to the classical Radon transform
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
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Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 22.06.2016, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Dr. Jakob Söhl, University of Cambridge, GB:
Nonparametric Bayesian posterior contraction rates for discretely observed scalar diffusions
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We consider nonparametric Bayesian inference in a reflected diffusion model $dX_t = b (X_t)dt + sigma(X_t) dW_t,$ with discretely sampled observations $X_0, X_Delta, dots, X_nDelta$. We analyse the nonlinear inverse problem corresponding to the `low frequency sampling' regime where $Delta>0$ is fixed and $n to infty$. A general theorem is proved that gives conditions for prior distributions $Pi$ on the diffusion coefficient $sigma$ and the drift function $b$ that ensure minimax optimal contraction rates of the posterior distribution over HölderSobolev smoothness classes. These conditions are verified for natural examples of nonparametric random wavelet series priors. For the proofs we derive new concentration inequalities for empirical processes arising from discretely observed diffusions that are of independent interest.
Further Informations
Forschungsseminar “Mathematische Statistik”
Host
HumboldtUniversität zu Berlin
SFB 649: Ökonomisches Risiko
Universität Potsdam
WIAS Berlin
 Tuesday, 21.06.2016, 16:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Maurilio Danio Gutzeit, Universität Potsdam:
Minimax separation rates for testing convex hypotheses in R^d
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
We consider composite composite testing problems for the expectation in the Gaussian sequence model where the null hypothesis corresponds to a convex subset C of R^d . We adopt a minimax point of view and our primary objective is to describe the smallest Euclidean distance between the null and alternative hypotheses such that some test can attain a given power. In particular, we focus on the dependence of this distance on the dimension d and the sample size/ variance parameter n giving rise to the minimax separation rate. In this talk we will discuss lower and/ or upper bounds on this rate for different smooth and non smooth choices for C. (Based on ongoing joint research with Alexandra Carpentier and Gilles Blanchard.)
Host
WIAS Berlin
 June 15 – 17, 2016 (WIASESH)
 Workshop/Konferenz: Nonlinear Dynamics in Semiconductor Lasers
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Tuesday, 14.06.2016, 16:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr Fabian Dickmann, WIAS Berlin:
DeloitteWIAS Project: Multicurve LIBOR model and calibration to caps and swaptions
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Since the financial crisis, the LIBOR rates are no longer considered safe. In particular, the longer the LIBOR period, the larger the risk. This has led to the problem of so called multiple curve LIBOR modeling. In this setting, we introduce a multiple curve framework that combines a Libor Market Model and a riskless Overnight Indexed Swap (OIS) rate. The spread between those two, called "basis spread", must be taken into account when pricing financial derivatives. In cooperation with Deloitte and Touche, appropriate models are developed and implemented.Moreover, we develop a calibration procedure that allows for matching real market data to prices of different standard LIBOR derivatives.
Host
WIAS Berlin
 Tuesday, 14.06.2016, 14:30 (WIASESH)
 Seminar Numerische Mathematik
Prof. Chengen Wang, Northeastern University, China:
Product design and engineering analysis technologies
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
This presentation begins with a brief introduction of manufacturing industries, and a laconic discussion of significance of product design and engineering analysis technologies. Subsequently, a multidisciplinary view is presented, which tends to address product engineering issues in an integrated way. Following up, the presentation outlines some significant product design technologies in the context of specific industrial implementations. Products or engineering systems are usually subject to intensive physical loadings in operational environments. Engineering analysis technologies play an essential role in product development decisionmaking by computing and emulating multiphysics processes, which occur within or around a product system. In this vein, the speaker finally talks about his pragmatic experiences of developing geometric modeling, meshing, FEM, and computational visualization systems.
Host
WIAS Berlin
 Tuesday, 14.06.2016, 13:30 (WIASESH)
 Seminar Numerische Mathematik
Prof. Abdallah Bradji, Université Badji MokhtarAnnaba, Algerien:
On the convergence order of gradient schemes for time dependent partial differential quations
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Gradient schemes are numerical methods, which can be conforming and nonconforming, and references therein to approximate different types of partial differental quation. They are written in a discrete variational formulation and based on the approximation of functions and gradients. The framework of gradient schemes includes for instance the Hybrid Mimetic Mixed (HMM) family. The aim of this lecture is to give some recent results concerning the convergence order of gradient schemes for time dependent partial differential quations. In particular, we quotes some results related to the case of semilinear parabolic and hyperbolic equations. We also try to discuss the case of a time dependent Joule heating system.
Host
WIAS Berlin
 Thursday, 09.06.2016, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Dr. Galina Printsypar, WIAS Berlin:
Modeling of membranes for forward osmosis at different scales
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In this talk we summarize and present results for mathematical modeling of forward osmosis processes using macro, multi, and microscale approaches. First, we focus on a macroscale model for a cell element used to perform laboratory experiments for forward osmosis. This model considers the membrane as a homogenized porous medium and uses a Darcy type model for fluid flow in porous media. Second, we propose a multiscale simulation approach to model forward osmosis processes using membranes with layered homogeneous morphology. This approach accounts for both: forward osmosis macroscale setup and detailed microstructure of the substrate using the digitally reconstructed morphology. Then, we introduce a microscale model for fully or partially resolved microstructure of the membrane with heterogeneous morphology. Here processes occur at the pore scale which yields a detailed and accurate picture of the processes. We introduce mathematical models and present numerical results for all three modeling approaches. The numerical experiment of the multiscale approach is also validated with laboratory experiments.
Host
WIAS Berlin
 Wednesday, 08.06.2016, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Sergiy Nesenenko, Technische Universität Berlin:
A Fintzpatrick function approach in the homogenization of elastoviscoplastic models with isotropic hardening effects
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 08.06.2016, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Dr. Pierre Bellec, Centre for Research in Economy and Statistics, Malakoff, Frankreich:
Slope meets Lasso: Improved oracle bounds and optimality
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We show that two polynomial time methods, a Lasso estimator with adaptively chosen tuning parameter and a Slope estimator, adaptively achieve the exact minimax prediction and `2 estimation rate (s=n) log(p=s) in highdimensional linear regression on the class of ssparse target vectors in Rp. This is done under the Restricted Eigenvalue (RE) condition for the Lasso and under a slightly more constraining assumption on the design for the Slope. The main results have the form of sharp oracle inequalities accounting for the model misspecication error. The minimax optimal bounds are also obtained for the `q estimation errors with 1 q 2 when the model is wellspecied. The results are nonasymptotic, and hold both in probability and in expectation. The assumptions that we impose on the design are satised with high probability for a large class of random matrices with independent and possibly anisotropically distributed rows. We give a comparative analysis of conditions, under which oracle bounds for the Lasso and Slope estimators can be obtained. In particular, we show that several known conditions, such as the RE condition and the sparse eigenvalue condition are equivalent if the `2norms of regressors are uniformly bounded. (Joint work with Guillaume Lecu, Alexandre Tsybakov.)
Further Informations
Forschungsseminar “Mathematische Statistik”
Host
HumboldtUniversität zu Berlin
SFB 649: Ökonomisches Risiko
Universität Potsdam
WIAS Berlin
 Tuesday, 07.06.2016, 15:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Alexey Naumov, Lomonosov Moscow State University, Russische Föderation:
Extreme singular values of random matrices
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In my talk I will discuss the bounds for the smallest and largest singular values of different random matrix ensembles. These bounds play a crucial role in many limit theorems in Random matrix theory. Some applications to numerical mathematics and data analysis will be given as well. The talk will be partially based on joint results with F. Götze and A. Tikhomirov.
Further Informations
Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Host
WIAS Berlin
 Thursday, 02.06.2016, 14:00 (WIASESH)
 Seminar Numerische Mathematik
Najib Alia, WIAS Berlin:
Introduction to the project about optimal control of ladle stirring
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The doctoral subject Öptimal control of ladle stirring" is part of the MIMESIS project led by D. Hömberg and funded by the EU through its European Industrial Doctorate initiative. In order to produce high performance steel, refinement metallurgical processes are used by steelmakers. One example of these processes are vacuum tank degassers, where the liquid steel is contained in a vacuum ladle and is subject to an inert gas flow in order to evacuate impurities such as gaseous Hydrogen particles. The control of this process is a main issue for steel plants which aim at a competitive production of high performance steel. One possibility to achieve this is to consider the vibration measured on the ladle wall and to link it with the velocity of the flow happening inside the ladle. This needs the mathematical modeling and computation of mainly two phenomena : the turbulent multiphase flow inside the ladle and the fluid/structure interaction. Then, experiments have to be carried out in order to derive an operational index which can predict the steel quality based on vibration measurements and simulations. A general introduction to this doctoral work is presented in this seminar.
Host
WIAS Berlin
 Thursday, 02.06.2016, 11:15 (WIASESH)
Richard Kraaij, Delft University of Technology:
Pathspace moderate deviations for the CurieWeiss model and Gamma convergence of pathspace rate functions
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Thursday, 02.06.2016, 10:00 (WIAS406)
 AnalysisStochastikSeminar
Dr. Olaf Klein, WIAS Berlin:
Uncertainty quantification for hysteresis operators
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Wednesday, 01.06.2016, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Martin Heida, WIAS Berlin:
Stochastic homogenization of rateindependent systems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Tuesday, 31.05.2016, 16:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Andrea Locatelli, Universität Potsdam:
Pure exploration bandit problems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In this talk, we will present the classical multiarmed bandit problem and its pure exploration variant. We will then focus on a new lower bound for the Best Arm Identification problem, and introduce a new pure exploration problem: the thresholding bandit problem, for which we will show a lower bound and a novel algorithm to solve this problem.
Host
WIAS Berlin
 Tuesday, 31.05.2016, 10:00 (WIASESH)
 Seminar Nichtglatte Variationsprobleme und Operatorgleichungen
Lukáš Adam, HU Berlin:
A multimaterial phase field approach for the optimal design of germaniumonsilicon microbridges
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
The reduction in microprocessor size lead to a significant increase in computational power. However, there is a physical limit to this increase. Instead of transmitting information via electricity, it has been recently proposed to transmit it via light. This idea is based on generating large strain in a germanium/silicon device to allow it to emit light. Unfortunately, due to heating issues the operational time of such lasers is currently limited to minutes. By maximizing strain in the optical cavity, the lasing threshold should be reduced and the lasing device become more heat resistant. We model the laser and strain maximization as an optimal control problem. By using optimization techniques to solve it we have managed to obtain approximately 30% larger strain than the original configuration.
Host
WIAS Berlin
 Thursday, 26.05.2016, 10:00 (WIAS406)
 AnalysisStochastikSeminar
Dr. Olaf Klein, WIAS Berlin:
Uncertainty Quantification for hysteresis operators
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Wednesday, 25.05.2016, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Yuri Maximov, Russian Academy of Sciences, Russische Föderation:
Structured semidefinite programming with applications to nonGaussian component analysis
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Semidefinite programming (SDP) is a popular tool for approximation of nonconvex quadratic problems arises in multiple statistical and computer science problems. Known to be worstcase optimal SDP is often dominated on wellstructured (practical) problems by domain specific methods and heuristics. Yet another problem of SDP is a slow computational time makes it hardly applicable for hugescale problems. In this talk we try to incorporate problem structure in the semidefinite dual to contribute both decrease computational time and improve approximation guarantees. A major application the proposed structured semidefinite programming is a novel convex projection based method in Nongaussian component analysis (NGCA) especially efficient for projecting sparse and lowrank highdimensional data. The talk is based on the joint research results with Yu. Nesterov (CORE/UCL, Belgium) and V. Spokoiny (WIAS, Berlin)
Further Informations
Forschungsseminar “Mathematische Statistik”
Host
HumboldtUniversität zu Berlin
Universität Potsdam
WIAS Berlin
 Tuesday, 24.05.2016, 16:00 (WIAS406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Dr. Olaf Klein, WIAS Berlin:
The playoperator, the Preisachoperator and its variants: Identification and evaluation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
An important tool to model hysteresis effects like magnetization or plasticity or memory in markets are the socalled hysteresis operators. In this talk, two important operators will be introduced: the play operator and the Preisach operator. The identification of the weight function in the Preisach operator from the socalled Everett function will be discussed. Also the determination of the Everett function from measured socalled First Order Reversal curves (FORCs) will be considered.
Host
WIAS Berlin
 Tuesday, 24.05.2016, 13:30 (WIASESH)
 Seminar Numerische Mathematik
Prof. Kaya Merdan, Middle East Technical University, Ankara, Turkey:
Numerical analysis of a fully discrete decoupled penaltyprojection algorithm for MHD in Elsässer variables
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
This talk considers numerical analysis of MHD flow that is based on Elsässer variable formulation. In the first part of the talk, I will present a fully discrete, efficient time stepping scheme that decouples the MHD system. The algorithm still provides unconditionally stability with respect to the time step and is extended a more efficient class of timestepping algorithm (penaltyprojection type). Numerical simulations will be given on some benchmark problems. In the second part of the talk, I will consider the long time stability property of the MHD system. The scheme uses linearly extrapolated BDF2 time stepping scheme, together with a finite element spatial discretization. The stability restriction of the algorithm is tested.
Host
WIAS Berlin
 Tuesday, 24.05.2016, 10:15 (WIAS406)
 Seminar Nichtlineare Optimierung und Inverse Probleme
Dennis Groh, HumboldtUniversität zu Berlin:
Bilevel optimization method for the blind deconvolution problem with total variation regularization
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Thursday, 19.05.2016, 10:00 (WIAS406)
 AnalysisStochastikSeminar
Dr. Olaf Klein, WIAS Berlin:
Uncertainty Quantification for hysteresis operators
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WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Thursday, 19.05.2016, 10:00 (WIASESH)
 Forschungsseminar Mathematische Modelle der Photonik
Simon Rauch, TRUMPF Laser GmbH:
Simulation of commercial broadarea laser diodes with WIASBALaser tool
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WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 18.05.2016, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Artur Stephan, HumboldtUniversität zu Berlin:
On operatornorm estimates for approximations of solutions of evolution equations using the Trotter product formula
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Further Informations
Berliner Oberseminar “Nichtlineare Partielle Differentialgleichungen” (Langenbach Seminar)
Host
WIAS Berlin
HumboldtUniversität zu Berlin
 Wednesday, 18.05.2016, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Dr. Rémi Gribonval, Centre de Recherche INRIA Rennes , Frankreich:
Dictionary learning: Principles, algorithms, guarantees
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WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
Sparse modeling has become highly popular in signal processing and machine learning, where many tasks can be expressed as underdetermined linear inverse problems. Together with a growing family of lowdimensional signal models, sparse models expressed with signal dictionaries have given rise to a rich set of algorithmic principles combining provably good performance with bounded complexity. In practice, from denoising to inpainting and superresolution, applications require choosing a good dictionary. This key step can be empirically addressed through datadriven principles known as dictionary learning. In this talk I will draw a panorama of dictionary learning for lowdimensional modeling. After reviewing the basic empirical principles of dictionary learning and related matrix factorizations such as PCA, Kmeans and NMF, we will discuss techniques to learn dictionaries with controlled computational eciency, as well as a series of recent theoretical results establishing the statistical signicance of learned dictionaries even in the presence of noise and outliers. (based on joint work with F. Bach, R. Jenatton, L. Le Magoarou, M. Kleinsteuber, and M. Seibert).
Further Informations
Forschungsseminar “Mathematische Statistik”
Host
HumboldtUniversität zu Berlin
SFB 649: Ökonomisches Risiko
Universität Potsdam
WIAS Berlin
 Tuesday, 17.05.2016, 15:15 (FU Berlin)
 Oberseminar Nonlinear Dynamics
Björn de Rijk, Universiteit Leiden, Niederlande:
Factorization of the Evans function via the Riccati transformation
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Freie Universität Berlin, Arnimallee 3, 14195 Berlin, Hinterhaus, Raum 130
Abstract
In the spectral stability analysis of pattern solutions, the presence of a small parameter can reduce the complexity of the linear stability problem. The spectrum of the linearization about certain type of patterns is given by the zero set of an analytic function, the socalled Evans function. Our reduction method yields a factorization of the Evans function in accordance with the scale separation induced by the small parameter. For some specific equations this product structure has yet been established by geometric arguments. Our analytic method formalizes and generalizes the factorization procedure. The main tool for the reduction is the Riccati transformation. We employ our techniques to study the stability of stationary, spatially periodic pulse patterns to a general class of singularly perturbed reactiondiffusion systems. Our Evansfunction analysis complemented with a careful analysis of the spectral curve attached to the origin leads to explicit conditions for nonlinear diffusive stability.
Further Informations
Oberseminar Nonlinear Dynamics
Host
WIAS Berlin
Freie Universität Berlin
 Thursday, 12.05.2016, 15:15 (WIAS406)
 Seminar Nichtglatte Variationsprobleme und Operatorgleichungen
Kostas Papafitsoros:
Analytical aspects of spatially adapted total variation type regularisation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
Spatially adapted regularisation in image reconstruction has been used in order to preserve details like texture and other highly oscillating features that are naturally present in the image. The idea is to apply regularisation of different strength in different parts of the image by spatially varying the regularisation parameters. In this talk, we will study analytically the effect of the spatially varying parameters to the structure of solutions of total variation type regularisation.
Host
WIAS Berlin
 Thursday, 12.05.2016, 14:00 (WIAS405406)
 Seminar Numerische Mathematik
Prof. Wolfgang Dreyer, WIAS Berlin:
Subtle properties of the barycentric velocity in mixture models
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstract
In a single substance the barycentric velocity is a primitive concept while in a mixture of several constituents it is defined via the velocities of the constituents. In both cases the evolution of the barycentric velocity is determined by the balance equations of mass and momentum. There are many inconsistencies in constitutive models in the field of the barycentric velocity. In this lecture we illustrate these inconsistencies by means of three practical ex amples. The most prominent example concerns an incompressible material with thermal expansion. A further example is provided by a liquidvapor phase transition. Finally we study the plating process of two copper electrodes immersed in an electrolyte.
Host
WIAS Berlin
 Thursday, 12.05.2016, 10:00 (WIAS406)
 AnalysisStochastikSeminar
Dr. Holger Stephan, WIAS Berlin:
Solving the HamiltonJacobi equation by the HopfLax method
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Host
WIAS Berlin
 Wednesday, 11.05.2016, 14:00 (WIAS406)
 Seminar Laserdynamik
Dr. Igor Franovic, Institute of Physics Belgrade, Serbien und Montenegro:
Meanfield approach for analysis of collective dynamics and activation processes in coupled noisy excitable systems
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
The first part of the talk will be concerned with the main approximations behind the meanfield approach and its application to analysis of collective dynamics in systems of delaycoupled excitable units. After introducing the formulation of the two main approximations behind the model, called the Gaussian approximation and the Quasiindependence approximation, it will be shown that the dynamics of the meanfield model can indicate in a selfconsistent fashion the parameter domains where the Quasiindependence approximation fails. Using the examples of a network of globally coupled units, and the paradigmatic setup of two interacting assemblies, I shall demonstrate that the meanfield model can be used to qualitatively analyze the stability of the system, as well as the scenarios for the onset and the suppression of the collective mode. The second part of the talk will be dedicated to characterization of the activation process in coupled excitable systems influenced by two independent sources of noise, which may be interpreted as external and intrinsic noise. The meanfield model will be applied to explicitly demonstrate that an assembly of class II excitable units can itself exhibit macroscopic excitable behavior. The statistical features of the assembly activation process, such as the mean timetofirst pulse and the associated coefficient of variation, will be compared to the ones of a single and two coupled excitable units. Using the meanfield model, we will show that the universal behavior in all three cases generically derives from the fact that the considered systems undergo a stochastic bifurcation from the stochastically stable fixed point to continuous oscillations.
Further Informations
Seminar Laserdynamik
Host
WIAS Berlin
 Wednesday, 11.05.2016, 10:00 (WIAS406)
 Forschungsseminar Mathematische Statistik
Prof. Sokbae Lee, Seoul National University:
Oracle estimation of a change point in high dimensional quantile regression
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, WeierstraßHörsaal (Raum: 406)
Abstract
In this paper, we consider a high dimensional quantile regression model where the sparsity structure may differ between the two subpopulations. We develop ?1penalized estimators of both regression coefficients and the threshold parameter. Our penalized estimators not only select covariates but also discriminate between a model with homogeneous sparsity and a model with a change point. As a result, it is not necessary to know or pretest whether the change point is present, or where it occurs. Our estimator of the change point achieves an oracle property in the sense that its asymptotic distribution is the same as if the unknown active sets of regression coefficients were known. Importantly, we establish this oracle property without a perfect covariate selection, thereby avoiding the need for the minimum level condition on the signals of active covariates. Dealing with high dimensional quantile regression with an unknown change point calls for a new proof technique since the quantile loss function is nonsmooth and furthermore the corresponding objective function is nonconvex with respect to the change point. The technique developed in this paper is applicable to a general Mestimation framework with a change point, which may be of independent interest. The proposed methods are then illustrated via Monte Carlo experiments and an application to tipping in the dynamics of racial segregation.
Host
HumboldtUniversität zu Berlin
SFB 649: Ökonomisches Risiko
Universität Potsdam
WIAS Berlin
 Tuesday, 10.05.2016, 16:00 (WIAS405406)
 Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Prof. Leonid Berlyand, Pennsylvania State University, USA:
Phase field model of cell motility: Sharp interface limit and traveling waves
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Raum: 405/406
Abstract
Phase field models are very ecient in computational studies of moving deformable in terfaces. We will present a phase field system that models the motion of a eukaryotic cell on a substrate and investigate the dependence of this motion on key physical parameters. This system consists of two PDEs: the AllenCahn equation for the scalar phase eld function coupled with a vectorial parabolic equation for the orientation of the actin lament network. Two key features of this system are (i) the gradients coupling and (ii) volume preservation constraints. We pass to the sharp interface limit (SIL), which reduces the system to a single scalar equation and show that the motion of the cell boundary is the mean curvature motion modied by a novel nonlinear term. Numerical and analytical studies of the SIL equation reveal the existence of two distinct regimes of the physical parameters. The subcritical regime was studied numerically and analytically by my Ph. D. student M. Mizuhara. Our main focus is the supercritical regime. Here we established surprising features of the motion of the interface such as discontinuities of velocities, hysteresis in the 1D model, instability of the circular shape, rise of asymmetry in the 2D model, and existence of nontrivial traveling waves. Because of features (i)(ii), classical comparison principle techniques do not apply to this system. Furthermore, the system can not be written in a form of gradient ow, which is why Ã´convergence techniques also can not be used. Instead, our derivation of SIL is based on a special asymptotic ansatz. This is joint work with V. Rybalko and M. Potomkin.
Further Informations
Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Host
WIAS Berlin
 May 10 – 12, 2016 (WIASESH)
 Workshop/Konferenz: WIASPGMO Workshop on Nonsmooth and Stochastic Optimization with Applications to Energy Management
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Host
WIAS Berlin
 Wednesday, 04.05.2016, 15:15 (WIASESH)
 Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (LangenbachSeminar)
Dr. Joaquim Serra, WIAS Berlin:
Nonlocal obstacle problems: Regularity of the solutions and the free boundaries
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
We will introduce some recent results in collaboration with L. Caffarelli and X. RosOton on the optimal regularity of the solutions and the regularity of the free boundaries (near regular points) for nonlocal obstacle problems. The main novelty is that we obtain results for dierent operators than the fractional Laplacian. Indeed, we can consider innitesimal generators of non rotationally invariant stable Lévy processes.
Further Informations
Berliner Oberseminar Nichtlineare partielle Differentialgleichungen (LangenbachSeminar)
Host
HumboldtUniversität zu Berlin
WIAS Berlin
 Wednesday, 04.05.2016, 14:00 (WIASESH)
Goro Akagi, Tohoku University, Japan:
Stability and instability of asymptotic profiles for the fast diffusion equation
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
This talk is concerned with asymptotic profiles for solutions to the CauchyDirichlet problem for the Fast Diffusion equation (FD) in smooth bounded domains under the socalled Sobolev subcritical condition. It is wellknown that every solution of (FD) vanishes in finite time with a power rate; more precisely, it asymptotically approaches to a separable solution (Berryman and Holland '80). Then the asymptotic profile for each vanishing solution can be characterized as a nontrivial solution of the EmdenFowler equation (EF). The stability of asymptotic profiles has been discussed for the case that (EF) has a unique positive solution; on the other hand, the case that (EF) may have multiple (positive) solutions had not been studied for many years. In this talk, we shall first see how to formulate notions of stability and instability of asymptotic profiles, and then, we shall discuss criteria to distinguish the stability of each asymptotic profile. Moreover, we shall focus on how to treat nonisolated asymptotic profiles; indeed, (EF) may admit a oneparameter family of positive solutions, e.g., for sufficiently thin annular domains. In particular, for thin annular domain cases, each nonradial asymptotic profile belonging to a oneparameter family turns out to be stable and the radial positive profile turns out to be unstable. The method of analysis relies on variational method, uniform extinction estimates for solutions to (FD), the LojasiewiczSimon inequality and energy techniques developed for doubly nonlinear evolution equations.
Host
WIAS Berlin
 Wednesday, 04.05.2016, 10:00 (WIASESH)
 Forschungsseminar Mathematische Statistik
Prof. Vladimir Spokoiny, WIAS Berlin:
Bootstrap tuned model selection
more ... Location
WeierstraßInstitut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, ErhardSchmidtHörsaal
Abstract
In the problem of model selection for a given family of linear estimators ?è%G?Ì?%@ m, m?¢ºM, ordered by their variance, we offer a new “smallest accepted” approach motivated by Lepski's