27 citations · 102 across the 15 of their papers we have counts for
4 papers · 1 filter
Distributional Limit Theory for Optimal Transport
Eustasio del Barrio, Alberto González-Sanz, Jean-Michel Loubes +1
Optimal Transport (OT) is a resource allocation problem with applications in biology, data science, economics and statistics, among others. In some of the applications, practitione…
An improved central limit theorem for the empirical sliced Wasserstein distance
David Rodríguez-Vítores, Eustasio del Barrio, Jean-Michel Loubes
Wasserstein distances are widely used in modern data analysis but pose significant computational and statistical challenges in high dimensions. The sliced Wasserstein distance alle…
Using the Sinkhorn divergence in permutation tests for the multivariate two-sample problem
E. del Barrio, J. S. Osorio, A. J. Quiroz
In order to adapt the Wasserstein distance to the large sample multivariate non-parametric two-sample problem, making its application computationally feasible, permutation tests ba…
Similarity of samples and trimming
Pedro C. Álvarez-Esteban, Eustasio del Barrio, Juan A. Cuesta-Albertos +1
We say that two probabilities are similar at level if they are contaminated versions (up to an fraction) of the same common probability. We show how this model is related t…