2022 - T3 - WS3 - Measure-theoretic Approaches and Optimal Transportation in Statistics

Collection 2022 - T3 - WS3 - Measure-theoretic Approaches and Optimal Transportation in Statistics

Organizer(s) Aamari, Eddie ; Aaron, Catherine ; Chazal, Frédéric ; Fisher, Aurélie ; Hoffmann, Marc ; Le Brigant, Alice ; Levrard, Clément ; Michel, Bertrand

Date(s) 21/11/2022 - 25/11/2022

linked URL https://indico.math.cnrs.fr/event/7547/

13 20

Some bounds on probabilistic distances via integration by parts formulae

By Giovanni Peccati

I will review a recent stream of research, dealing with the control of Wasserstein-type (and more general) probabilistic distances, both in uni- and multi-variate settings, by using infinite-dimensional integration by parts formulae. I will illustrate my presentation with examples from stochastic geometry (random geometric graphs and the geometry of Gaussian fields), and evoke several connections with generalized logarithmic Sobolev and concentration estimates.

Information about the video

Date of publication 05/04/2024
Institution IHP
Licence CC BY-NC-ND
Language English
Format MP4

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

All the collection videos

Gradient Flows on Kernel Divergence Measures

By Arthur Gretton

A varifold perspective on discrete surfaces

By Blanche Buet

Advances in statistics via tools from Stein's Method

By Christophe Ley

On the existence of Monge maps for Gromov-Wasserstein problems

By Théo Lacombe

Distribution-Free Tests for Multi-Dimensional Symmetry Using Optimal Transport

By Bodhisattva Sen

Graphical and uniform consistency of estimated optimal transport plans

By Johan Segers

Unbalanced Optimal Transport across Metric Measured Spaces

By Gabriel Peyré

A Wasserstein-type distance in the space of Gaussian mixture models

By Agnès Desolneux

Sliced Wasserstein on Manifolds: Spherical and Hyperbolical cases - Part 1

By Nicolas Courty

Spectral regularized kernel two-sample tests

By Bharath Sriperumbudur

published on April 5, 2024

Mirror Sinkhorn: Fast Online Optimization on Transport Polytopes

By Quentin Berthet

published on April 5, 2024

Online learning with exponential weights in metric spaces with the measure contraction property

By Quentin Paris

published on April 5, 2024

Some bounds on probabilistic distances via integration by parts formulae

By Giovanni Peccati

published on April 5, 2024

Sliced Wasserstein on Manifolds: Spherical and Hyperbolical cases - Part 2

By Nicolas Courty

36:10

published on May 6, 2024

An Algorithmic Solution to the Blotto Game using Multi-marginal Couplings

By Thibaut Le Gouic

46:05

published on May 6, 2024

Barycenters for probability distributions based on optimal weak mass transport

By Elsa Cazelles

50:58

published on May 6, 2024

Statistical estimation of optimal transport potentials

By François-Xavier Vialard

48:32

published on May 6, 2024

Structured prediction with sparse Wasserstein barycenters

By Olga Mula Hernandez

35:15

published on May 6, 2024

Some bounds for the Wasserstein distance between the empirical measure and the marginal distibution of a sequence of i.i.d. random variables

By Jérôme Dedecker

56:21

published on May 6, 2024

Computational optimal transport: mature tools and open problems

By Jean Feydy

Copyright Carmin.tv 2025

Give feedback