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20192023
most citedCentral Limit Theorems for General Transportation Costs

12 citations · 54 across the 11 of their papers we have counts for

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Showing 2021Show all

5 papers · 1 filter

cs.AI2021★ 5 cited

Transport-based Counterfactual Models

Lucas de Lara, Alberto González-Sanz, Nicholas Asher +2

Counterfactual frameworks have grown popular in machine learning for both explaining algorithmic decisions but also defining individual notions of fairness, more intuitive than typ…

stat.ME2021★ 12 cited

Two-sample goodness-of-fit tests on the flat torus based on Wasserstein distance and their relevance to structural biology

Javier González-Delgado, Alberto González-Sanz, Juan Cortés +1

This work is motivated by the study of local protein structure, which is defined by two variable dihedral angles that take values from probability distributions on the flat torus.…

math.PR2021

A Central Limit Theorem for Semidiscrete Wasserstein Distances

Eustasio del Barrio, Alberto González-Sanz, Jean-Michel Loubes

We address the problem of proving a Central Limit Theorem for the empirical optimal transport cost, , in the semi discrete case…

cs.LG2021★ 5 cited

Pay attention to your loss: understanding misconceptions about 1-Lipschitz neural networks

Louis Béthune, Thibaut Boissin, Mathieu Serrurier +3

Lipschitz constrained networks have gathered considerable attention in the deep learning community, with usages ranging from Wasserstein distance estimation to the training of cert…

math.ST2021★ 12 cited

Central Limit Theorems for General Transportation Costs

Eustasio del Barrio, Alberto González-Sanz, Jean-Michel Loubes

We consider the problem of optimal transportation with general cost between a empirical measure and a general target probability on R d , with d 1. We extend results in [19]…