51 citations · 183 across the 21 of their papers we have counts for
22 papers
Sample Complexity of Quadratically Regularized Optimal Transport
Alberto González-Sanz, Eustasio del Barrio, Marcel Nutz
It is well known that optimal transport suffers from the curse of dimensionality: when the prescribed marginals are approximated by i.i.d. samples, the convergence of the empirical…
An improved central limit theorem and fast convergence rates for entropic transportation costs
Eustasio del Barrio, Alberto Gonzalez-Sanz, Jean-Michel Loubes +1
We prove a central limit theorem for the entropic transportation cost between subgaussian probability measures, centered at the population cost. This is the first result which allo…
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…
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…
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]…
The statistical effect of entropic regularization in optimal transportation
Eustasio del Barrio, Jean-Michel Loubes
We propose to tackle the problem of understanding the effect of regularization in Sinkhorn algotihms. In the case of Gaussian distributions we provide a closed form for the regular…