Veranstaltungen

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Dienstag, 02.05.2017, 15.00 Uhr (WIAS-406)
Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
A. Kroshnin, MIPT, Russian Academy of Sciences , Russische Föderation:
Fréchet Barycenters in the Monge-Kantorovich spaces
mehr ... Veranstaltungsort
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Weierstraß-Hörsaal (Raum: 406)

Abstrakt
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 Fréchet 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.

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Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics

Veranstalter
WIAS Berlin
Mittwoch, 03.05.2017, 09.30 Uhr (WIAS-HVP-3.13)
Halbleiterseminar
Dr. J. Rehberg, WIAS Berlin:
Van Roosbroeck's system is well-posed in case of general recombination terms
Part I: Functional analytic preliminaries
mehr ... Veranstaltungsort
Weierstraß-Institut, Hausvogteiplatz 11A, 10117 Berlin, 3. Etage, Raum: 3.13

Veranstalter
WIAS Berlin
Mittwoch, 03.05.2017, 10.00 Uhr (WIAS-ESH)
Forschungsseminar Mathematische Statistik
Prof. C. Butucea, Université Paris-Est Marne-la-Vallée, Frankreich:
Local asymptotic equivalence for quantum models
mehr ... Veranstaltungsort
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Abstrakt
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.

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Forschungsseminar ``Mathematische Statistik''

Veranstalter
Humboldt-Universität zu Berlin
Universität Potsdam
WIAS Berlin
Mittwoch, 03.05.2017, 15.15 Uhr (WIAS-ESH)
Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (Langenbach-Seminar)
Dr. M. Heida, WIAS Berlin:
Convergence of the square-root approximation scheme to the Fokker--Planck equation
mehr ... Veranstaltungsort
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

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Berliner Oberseminar ``Nichtlineare Partielle Differentialgleichungen'' (Langenbach Seminar)

Veranstalter
WIAS Berlin
Humboldt-Universität zu Berlin
Donnerstag, 04.05.2017, 09.30 Uhr (HU Berlin in Adlershof RUD25 Raum 2.417)
Joint Research Seminar on Nonsmooth Variational Problems and Operator Equations / Mathematical Optimization
A. Kröner, HU Berlin/CMAP, Ecole Polytechnique, Paris-Saclay:
Optimal control of infinite dimensional systems
mehr ... Veranstaltungsort
Humboldt-Universität zu Berlin, Rudower Chaussee 25, 12489 Berlin, Johann-von-Neumann-Haus, Raum 2.417

Abstrakt
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.

Veranstalter
Humboldt-Universität zu Berlin
WIAS Berlin
Donnerstag, 04.05.2017, 10.15 Uhr (WIAS-ESH)
Seminar Nichtlineare Optimierung und Inverse Probleme
Prof. Dr. E. Rocca, Università degli Studi di Pavia, Italien:
Optimal control in diffuse interface models of tumor growth
mehr ... Veranstaltungsort
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Veranstalter
WIAS Berlin
Donnerstag, 04.05.2017, 16.00 Uhr (WIAS-ESH)
Forschungsseminar Mathematische Modelle der Photonik
Dr. D. Peschka, WIAS Berlin:
Gradient structure for optoelectronic models of semiconductors
mehr ... Veranstaltungsort
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Veranstalter
WIAS Berlin
Dienstag, 09.05.2017, 15.00 Uhr (WIAS-406)
Seminar Modern Methods in Applied Stochastics and Nonparametric Statistics
Prof. A. Sobolevskiy, Russian Academy of Sciences:
The Hamilton-Jacobi equation: Parallel transport in the 2-Wasserstein space and beyond
mehr ... Veranstaltungsort
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Weierstraß-Hörsaal (Raum: 406)

Abstrakt
The Hamilton-Jacobi equation with quadratic Hamiltonian describes parallel transport in the 2-Wasserstein space of measures. While geodesics in Wasserstein spaces arise as solutions to two-point boundary value problem, the natural setting for the Hamilton-Jacobi 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.

Veranstalter
WIAS Berlin
Mittwoch, 10.05.2017, 09.30 Uhr (WIAS-406)
Halbleiterseminar
Dr. J. Rehberg, WIAS Berlin:
Van Roosbroeck's system is well-posed in case of general recombination terms
Part II: The analysis of the system
mehr ... Veranstaltungsort
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, 4. Etage, Weierstraß-Hörsaal (Raum: 406)

Weitere Informationen
Berliner Oberseminar ``Nichtlineare Partielle Differentialgleichungen'' (Langenbach Seminar)

Veranstalter
WIAS Berlin
Mittwoch, 10.05.2017, 15.15 Uhr (WIAS-ESH)
Berliner Oberseminar „Nichtlineare partielle Differentialgleichungen” (Langenbach-Seminar)
Dr. M. Dziwnik, WIAS Berlin:
The role of degenerate mobilities in Cahn-Hilliard models
mehr ... Veranstaltungsort
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Veranstalter
WIAS Berlin
Humboldt-Universität zu Berlin
Donnerstag, 11.05.2017, 16.00 Uhr (WIAS-ESH)
Forschungsseminar Mathematische Modelle der Photonik
Dr. M. Radziunas, WIAS Berlin:
A multi-mode delay differential equation model for lasers with optical feedback
mehr ... Veranstaltungsort
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Veranstalter
WIAS Berlin
Montag, 22.05.2017, 14.00 Uhr (WIAS-ESH)
Seminar Quantitative Biomedizin
Dr. R. Blossey, University of Lille 1 & CNRS, Frankreich:
Beyond Poisson-Boltzmann: Charge correlation effects in DNA adsorption and transport through nanopores
mehr ... Veranstaltungsort
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Abstrakt
In soft matter systems electrostatic effects are often of utmost importance. Their mathematical description is commonly based on mean-field type theories, the standard approach being the Poisson-Boltzmann 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 Poisson-Boltzmann equation in order to treat such mechanisms. As two exemplary applications I will discuss the correlation-induced adsorption of DNA on like-charged surfaces and the conversion of ionic currents in DNA translocation through nanopores.

Veranstalter
WIAS Berlin
29. Mai – 2. Juni 2017 (WIAS-ESH)
Workshop/Konferenz: CRC 1114 Spring School: Methods for Particle Systems with Multiple Scales
mehr ... Veranstaltungsort
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Veranstalter
SFB 1114: Scaling Cascades in Complex Systems
Donnerstag, 01.06.2017, 16.00 Uhr (WIAS-ESH)
Forschungsseminar Mathematische Modelle der Photonik
F. Bierbüsse, Humboldt-Universität zu Berlin:
Ultrashort dark solitons in the context of the short pulse equation
mehr ... Veranstaltungsort
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Veranstalter
WIAS Berlin
Mittwoch, 14.06.2017, 10.00 Uhr (WIAS-ESH)
Forschungsseminar Mathematische Statistik
Prof. J.-M. Loubes, Université Toulouse Paul Sabatier, Frankreich:
Kantorovich distance based kernel for Gaussian processes : Estimation and forecast
mehr ... Veranstaltungsort
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Abstrakt
Monge-Kantorovich 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

Veranstalter
WIAS Berlin
Humboldt-Universität zu Berlin
Universität Potsdam
Donnerstag, 29.06.2017, 16.00 Uhr (WIAS-ESH)
Forschungsseminar Mathematische Modelle der Photonik
Dr. A. Pimenov, WIAS Berlin:
Efficient simulation and analysis of multi-mode laser dynamics using time-delay models
mehr ... Veranstaltungsort
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Veranstalter
WIAS Berlin