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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
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
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
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
Séminaire de probabilités XLIX
- Emmanuel Boissard, P. Cattiaux, +19 authors H. Tsukada
- Mathematics
- 1 July 2018
"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
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