Eustasio del Barrio
Eustasio del Barrio
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Central limit theorems for the Wasserstein distance between the empirical and the true distributions
E Del Barrio, E Giné, C Matrán
Annals of Probability, 1009-1071, 1999
A fixed-point approach to barycenters in Wasserstein space
PC Álvarez-Esteban, E Del Barrio, JA Cuesta-Albertos, C Matrán
Journal of Mathematical Analysis and Applications 441 (2), 744-762, 2016
Tests of Goodness of Fit Based on the L2-Wasserstein Distance
E Del Barrio, JA Cuesta-Albertos, C Matrán, JM Rodríguez-Rodríguez
Annals of Statistics, 1230-1239, 1999
Obtaining fairness using optimal transport theory
P Gordaliza, E Del Barrio, G Fabrice, JM Loubes
International conference on machine learning, 2357-2365, 2019
Distribution and quantile functions, ranks and signs in dimension d: A measure transportation approach
M Hallin, E Del Barrio, J Cuesta-Albertos, C Matrán
Central limit theorems for empirical transportation cost in general dimension
E Del Barrio, JM Loubes
Asymptotics for L2 functionals of the empirical quantile process, with applications to tests of fit based on weighted Wasserstein distances
E Del Barrio, E Giné, F Utzet
Bernoulli 11 (1), 131-189, 2005
Contributions of empirical and quantile processes to the asymptotic theory of goodness-of-fit tests
E Del Barrio, JA Cuesta-Albertos, C Matrán, S Csörgö, CM Cuadras, ...
Test 9, 1-96, 2000
The random projection method in goodness of fit for functional data
JA Cuesta-Albertos, E del Barrio, R Fraiman, C Matrán
Computational Statistics & Data Analysis 51 (10), 4814-4831, 2007
Lectures on empirical processes: theory and statistical applications
E Barrio, P Deheuvels, S Van De Geer
EMS Series of Lectures in Mathematics, 2007
A survey of bias in machine learning through the prism of statistical parity
P Besse, E del Barrio, P Gordaliza, JM Loubes, L Risser
The American Statistician 76 (2), 188-198, 2022
Trimmed comparison of distributions
PC Alvarez-Esteban, E Del Barrio, JA Cuesta-Albertos, C Matran
Journal of the American Statistical Association 103 (482), 697-704, 2008
Uniqueness and approximate computation of optimal incomplete transportation plans
PC Álvarez-Esteban, E del Barrio, JA Cuesta-Albertos, C Matrán
Annales de l'IHP Probabilités et statistiques 47 (2), 358-375, 2011
An optimal transportation approach for assessing almost stochastic order
E Del Barrio, JA Cuesta-Albertos, C Matrán
The Mathematics of the Uncertain: A Tribute to Pedro Gil, 33-44, 2018
Achieving robustness in classification using optimal transport with hinge regularization
M Serrurier, F Mamalet, A González-Sanz, T Boissin, JM Loubes, ...
Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern …, 2021
Robust clustering tools based on optimal transportation
E Del Barrio, JA Cuesta-Albertos, C Matrán, A Mayo-Íscar
Statistics and Computing 29, 139-160, 2019
Review of mathematical frameworks for fairness in machine learning
E Del Barrio, P Gordaliza, JM Loubes
arXiv preprint arXiv:2005.13755, 2020
Similarity of samples and trimming
PC Alvarez-Esteban, E Del Barrio, JA Cuesta-Albertos, C Matrán
An improved central limit theorem and fast convergence rates for entropic transportation costs
E del Barrio, AG Sanz, JM Loubes, J Niles-Weed
SIAM Journal on Mathematics of Data Science 5 (3), 639-669, 2023
A note on the regularity of optimal-transport-based center-outward distribution and quantile functions
E del Barrio, A González-Sanz, M Hallin
Journal of Multivariate Analysis 180, 104671, 2020
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