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03/29/2023
Regularity of center-outward distribution functions in non-convex domains
For a probability P in R^d its center outward distribution function F_±,...
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04/25/2022
Nonparametric Multiple-Output Center-Outward Quantile Regression
Based on the novel concept of multivariate center-outward quantiles intr...
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04/19/2022
An improved central limit theorem and fast convergence rates for entropic transportation costs
We prove a central limit theorem for the entropic transportation cost be...
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02/13/2022
Central Limit Theorems for Semidiscrete Wasserstein Distances
We prove a Central Limit Theorem for the empirical optimal transport cos...
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02/12/2021
Central Limit Theorems for General Transportation Costs
We consider the problem of optimal transportation with general cost betw...
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06/11/2020
Achieving robustness in classification using optimal transport with hinge regularization
We propose a new framework for robust binary classification, with Deep N...
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06/09/2020
The statistical effect of entropic regularization in optimal transportation
We propose to tackle the problem of understanding the effect of regulari...
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05/26/2020
Review of Mathematical frameworks for Fairness in Machine Learning
A review of the main fairness definitions and fair learning methodologie...
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03/31/2020
A survey of bias in Machine Learning through the prism of Statistical Parity for the Adult Data Set
Applications based on Machine Learning models have now become an indispe...
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12/23/2019
A note on the Regularity of Center-Outward Distribution and Quantile Functions
We provide sufficient conditions under which the center-outward distribu...
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07/18/2019
optimalFlow: Optimal-transport approach to flow cytometry gating and population matching
Data used in Flow Cytometry present pronounced variability due to biolog...
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04/10/2019
Attraction-Repulsion clustering with applications to fairness
In the framework of fair learning, we consider clustering methods that a...
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03/20/2019
On approximate validation of models: A Kolmogorov-Smirnov based approach
Classical tests of fit typically reject a model for large enough real da...
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03/20/2019
Box-constrained monotone L_∞-approximations and Lipschitz-continuous regularized functions
Let f:[0,1]→[0,1] be a nondecreasing function. The main goal of this wor...
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07/18/2018
A Central Limit Theorem for L_p transportation cost with applications to Fairness Assessment in Machine Learning
We provide a Central Limit Theorem for the Monge-Kantorovich distance be...
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07/17/2018
Confidence Intervals for Testing Disparate Impact in Fair Learning
We provide the asymptotic distribution of the major indexes used in the ...
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06/08/2018
Obtaining fairness using optimal transport theory
Statistical algorithms are usually helping in making decisions in many a...
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06/04/2018