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Publications Influence

Simple Bounds for the Convergence of Empirical and Occupation Measures in 1-Wasserstein Distance

- Emmanuel Boissard
- Mathematics
- 16 March 2011

We study the problem of non-asymptotic deviations between a reference measure and its empirical version, in the 1-Wasserstein metric, under the standing assumption that the reference measure… Expand

49 7- PDF

Distribution's template estimate with Wasserstein metrics

- Emmanuel Boissard, Thibaut Le Gouic, Jean-Michel Loubes
- Mathematics
- 25 November 2011

In this paper we tackle the problem of comparing distributions of random variables and defining a mean pattern between a sample of random events. Using barycenters of measures in the Wasserstein… Expand

61 6- PDF

Trail formation based on directed pheromone deposition

- Emmanuel Boissard, P. Degond, S. Motsch
- Physics, Biology
- Journal of mathematical biology
- 16 August 2011

We propose an Individual-Based Model of ant-trail formation. The ants are modeled as self-propelled particles which deposit directed pheromone particles and interact with them through alignment… Expand

33 3- PDF

On the mean speed of convergence of empirical and occupation measures in Wasserstein distance

- Emmanuel Boissard, Thibaut Le Gouic
- Mathematics
- 26 May 2011

In this work, we provide non-asymptotic bounds for the average speed of convergence of the empirical measure in the law of large numbers, in Wasserstein distance. We also consider occupation measures… Expand

53 2- PDF

Séminaire de probabilités XLIX

- Emmanuel Boissard, P. Cattiaux, +19 authors H. Tsukada
- Mathematics
- 1 July 2018

6

"Exact" deviations in Wasserstein distance for empirical and occupation measures

- Emmanuel Boissard, Thibaut Le Gouic
- Mathematics
- 16 March 2011

2

Diffusivity of a random walk on random walks

- Emmanuel Boissard, S. Cohen, Thibault Espinasse, James Norris
- Mathematics, Computer Science
- Random Struct. Algorithms
- 17 October 2012

TLDR

5- PDF

Problèmes d'interaction discret-continu et distances de Wasserstein

- Emmanuel Boissard
- Physics
- 2011

On etudie dans ce manuscrit plusieurs problemes d'approximation a l'aide des outils de la theorie du transport optimal. Les distances de Wasserstein fournissent des bornes d'erreur pour… Expand

6

A PUNCTURED DOMAIN.

- Emmanuel Boissard, P. Cattiaux, A. Guillin, L. Miclo
- Mathematics
- 2013

In this paper we study the Poincare constant for the Gaussian measure re- stricted to D = R d B(y,r) where B(y,r) denotes the Euclidean ball with center y and radius r, and d � 2. We also study the… Expand

Ornstein-Uhlenbeck pinball and the Poincaré inequality in a punctured domain.

- Emmanuel Boissard, P. Cattiaux, A. Guillin, L. Miclo
- Mathematics
- 2018

In this paper we study the Poincare constant for the Gaussian measure restricted to \(D={\mathbb R}^d - \mathbb {B}\) where \(\mathbb {B}\) is the disjoint union of bounded open sets. We will mainly… Expand