20 citations · 37 across the 5 of their papers we have counts for
5 papers
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…
Review of Mathematical frameworks for Fairness in Machine Learning
Eustasio del Barrio, Paula Gordaliza, Jean-Michel Loubes
A review of the main fairness definitions and fair learning methodologies proposed in the literature over the last years is presented from a mathematical point of view. Following o…
A note on the Regularity of Center-Outward Distribution and Quantile Functions
Eustasio del Barrio, Alberto González-Sanz, Marc Hallin
We provide sufficient conditions under which the center-outward distribution and quantile functions introduced in Chernozhukov et al.~(2017) and Hallin~(2017) are homeomorphisms, t…
A data driven trimming procedure for robust classification
Marina Antolín, Eustasio Del Barrio, Jean-Michel Loubes
Classification rules can be severely affected by the presence of disturbing observations in the training sample. Looking for an optimal classifier with such data may lead to unnece…
A contamination model for approximate stochastic order: extended version
Pedro C. Alvarez-Esteban, Eustasio del Barrio, Juan A. Cuesta-Albertos +1
Stochastic ordering among distributions has been considered in a variety of scenarios. Economic studies often involve research about the ordering of investment strategies or social…