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math.PR2022★ 8 cited
Weak limits of entropy regularized Optimal Transport; potentials, plans and divergences
Alberto Gonzalez-Sanz, Jean-Michel Loubes, Jonathan Niles-Weed
This work deals with the asymptotic distribution of both potentials and couplings of entropic regularized optimal transport for compactly supported probabilities in . We firs…
math.PR2021
A Central Limit Theorem for Semidiscrete Wasserstein Distances
Eustasio del Barrio, Alberto González-Sanz, Jean-Michel Loubes
We address the problem of proving a Central Limit Theorem for the empirical optimal transport cost, , in the semi discrete case…
math.PR2017★ 5 cited
Central Limit Theorem for empirical transportation cost in general dimension
Eustasio Del Barrio, Jean-Michel Loubes
We consider the problem of optimal transportation with quadratic cost between a empirical measure and a general target probability on R d , with d 1. We provide new results o…