E
Emmanuel Boissard
Researcher at Institut de Mathématiques de Toulouse
Publications - 12
Citations - 310
Emmanuel Boissard is an academic researcher from Institut de Mathématiques de Toulouse. The author has contributed to research in topics: Ball (mathematics) & Gaussian measure. The author has an hindex of 5, co-authored 12 publications receiving 244 citations. Previous affiliations of Emmanuel Boissard include Paul Sabatier University.
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Journal ArticleDOI
On the mean speed of convergence of empirical and occupation measures in Wasserstein distance
TL;DR: It is found that rates for empirical or occupation measures match or are close to previously known optimal quantization rates in several cases, notably highlighted in the example of infinite-dimensional Gaussian measures.
Journal ArticleDOI
Distribution's template estimate with Wasserstein metrics
TL;DR: In this article, the authors 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 space, and propose an iterative version as an estimation of the mean distribution.
Posted Content
Distribution's template estimate with Wasserstein metrics
TL;DR: Using barycenters of measures in the Wasserstein space, an iterative version as an estimation of the mean distribution is proposed, when the distributions are a common measure warped by a centered random operator, then the barycenter enables to recover this distribution template.
BookDOI
Séminaire de probabilités XLIX
Emmanuel Boissard,Patrick Cattiaux,Arnaud Guillin,Laurent Miclo,Florian Bouguet,Jean Brossard,Christophe Leuridan,Mireille Capitaine,Nicolas Champagnat,Koléhé Abdoulaye Coulibaly-Pasquier,Denis Villemonais,Henri Elad Altman,Peter Kratz,Etienne Pardoux,Antoine Lejay,Paul McGill,Gilles Pagès,Benedikt Wilbertz,P Petit,Rajeev Bhaskaran,Laurent Serlet,Hiroshi Tsukada +21 more
Journal ArticleDOI
Diffusivity of a random walk on random walks
TL;DR: This paper shows that this random walk is slowed down by a variance factor i¾?K2=2K+2 with respect to the case of the classical simple random walk without constraint.