Search Results for author: Eustasio del Barrio

Found 9 papers, 6 papers with code

An improved central limit theorem and fast convergence rates for entropic transportation costs

no code implementations19 Apr 2022 Eustasio del Barrio, Alberto Gonzalez-Sanz, Jean-Michel Loubes, Jonathan Niles-Weed

We prove a central limit theorem for the entropic transportation cost between subgaussian probability measures, centered at the population cost.

valid

The statistical effect of entropic regularization in optimal transportation

no code implementations9 Jun 2020 Eustasio del Barrio, Jean-Michel Loubes

We propose to tackle the problem of understanding the effect of regularization in Sinkhorn algotihms.

Review of Mathematical frameworks for Fairness in Machine Learning

no code implementations26 May 2020 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.

BIG-bench Machine Learning Fairness +1

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

1 code implementation18 Jul 2019 Eustasio del Barrio, Hristo Inouzhe, Jean-Michel Loubes, Carlos Matrán, Agustín Mayo-Íscar

We also present $optimalFlowClassification$, which uses a database of gated cytometries and optimalFlowTemplates to assign cell types to a new cytometry.

Attraction-Repulsion clustering with applications to fairness

1 code implementation10 Apr 2019 Eustasio del Barrio, Hristo Inouzhe, Jean-Michel Loubes

We consider the problem of diversity enhancing clustering, i. e, developing clustering methods which produce clusters that favour diversity with respect to a set of protected attributes such as race, sex, age, etc.

Clustering Fairness

Confidence Intervals for Testing Disparate Impact in Fair Learning

2 code implementations17 Jul 2018 Philippe Besse, Eustasio del Barrio, Paula Gordaliza, Jean-Michel Loubes

We provide the asymptotic distribution of the major indexes used in the statistical literature to quantify disparate treatment in machine learning.

BIG-bench Machine Learning

Obtaining fairness using optimal transport theory

1 code implementation8 Jun 2018 Eustasio del Barrio, Fabrice Gamboa, Paula Gordaliza, Jean-Michel Loubes

\textit{Fairness} is generally studied in a probabilistic framework where it is assumed that there exists a protected variable, whose use as an input of the algorithm may imply discrimination.

Statistics Theory Statistics Theory 62H30, 68T01

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