36 citations · 37 across the 6 of their papers we have counts for
4 papers · 1 filter
Distribution's template estimate with Wasserstein metrics
Emmanuel Boissard, Thibaut Le Gouic, Jean-Michel Loubes
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 t…
Trail formation based on directed pheromone deposition
Emmanuel Boissard, Pierre Degond, Sébastien Motsch
We propose an Individual-Based Model of ant-trail formation. The ants are modeled as self-propelled particles which deposit directed pheromones and interact with them through align…
On the mean speed of convergence of empirical and occupation measures in Wasserstein distance
Emmanuel Boissard, Thibaut Le Gouic
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…
Simple bounds for the convergence of empirical and occupation measures in 1-Wasserstein distance
Emmanuel Boissard
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 measure…