12 citations · 17 across the 3 of their papers we have counts for
3 papers
math.PR2022★ 1 cited
Central Limit Theorems for Semidiscrete Wasserstein Distances
Eustasio del Barrio, Alberto González-Sanz, Jean-Michel Loubes
We prove a Central Limit Theorem for the empirical optimal transport cost, , in the semi discrete case, i.e when…
math.ST2021★ 12 cited
Central Limit Theorems for General Transportation Costs
Eustasio del Barrio, Alberto González-Sanz, Jean-Michel Loubes
We consider the problem of optimal transportation with general cost between a empirical measure and a general target probability on R d , with d 1. We extend results in [19]…
math.ST2021★ 4 cited
A Consistent Extension of Discrete Optimal Transport Maps for Machine Learning Applications
Lucas de Lara, Alberto González-Sanz, Jean-Michel Loubes
Optimal transport maps define a one-to-one correspondence between probability distributions, and as such have grown popular for machine learning applications. However, these maps a…