activity
20142021
most citedRobust clustering tools based on optimal transportation

27 citations · 70 across the 8 of their papers we have counts for

collaborators

8 papers

math.ST2021

The complex behaviour of Galton rank order statistic

E. del Barrio, J. A. Cuesta-Albertos, C. Matran

Galton's rank order statistic is one of the oldest statistical tools for two-sample comparisons. It is also a very natural index to measure departures from stochastic dominance. Ye…

stat.ML2019★ 23 cited

optimalFlow: Optimal-transport approach to flow cytometry gating and population matching

Eustasio del Barrio, Hristo Inouzhe, Jean-Michel Loubes +2

Data obtained from Flow Cytometry present pronounced variability due to biological and technical reasons. Biological variability is a well-known phenomenon produced by measurements…

math.OC2019★ 2 cited

Box-constrained monotone -approximations to Lipschitz regularizations, with applications to robust testing

Eustasio del Barrio, Hristo Inouzhe, Carlos Matrán

Tests of fit to exact models in statistical analysis often lead to rejections even when the model is a useful approximate description of the random generator of the data. Among pos…

stat.ME2018★ 1 cited

Invariant measures of disagreement with stochastic dominance

E. del Barrio, J. A. Cuesta-Albertos, C. Matran

Stochastic dominance has not been too employed in practice due to its important limitations. To increase its versatility, the concept has recently been adapted by introducing vario…

stat.ME2017

An optimal transportation approach for assessing almost stochastic order

E. del Barrio, J. A. Cuesta-Albertos, C. Matrán

When stochastic dominance does not hold, we can improve agreement to stochastic order by suitably trimming both distributions. In this work we consider the Wass…

stat.ME2016★ 27 cited

Robust clustering tools based on optimal transportation

E. del Barrio, J. A. Cuesta-Albertos, C. Matrán +1

A robust clustering method for probabilities in Wasserstein space is introduced. This new "trimmed -barycenters" approach relies on recent results on barycenters in Wasserstein…

stat.CO2015★ 14 cited

A fixed-point approach to barycenters in Wasserstein space

Pedro C. Álvarez-Esteban, E. del Barrio, J. A. Cuesta-Albertos +1

Let be the set of Borel probabilities on with finite second moment and absolutely continuous with respect to Lebesgue measure. We consider the p…

stat.ME2014★ 3 cited

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…