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08/28/2023
Improved learning theory for kernel distribution regression with two-stage sampling
The distribution regression problem encompasses many important statistic...
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05/16/2023
Weak Limits for Empirical Entropic Optimal Transport: Beyond Smooth Costs
We establish weak limits for the empirical entropy regularized optimal t...
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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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10/12/2022
Gaussian Processes on Distributions based on Regularized Optimal Transport
We present a novel kernel over the space of probability measures based o...
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07/15/2022
Weak limits of entropy regularized Optimal Transport; potentials, plans and divergences
This work deals with the asymptotic distribution of both potentials and ...
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06/28/2022
Diffeomorphic Registration using Sinkhorn Divergences
The diffeomorphic registration framework enables to define an optimal ma...
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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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02/16/2022
GAN Estimation of Lipschitz Optimal Transport Maps
This paper introduces the first statistically consistent estimator of th...
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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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08/30/2021
Transport-based Counterfactual Models
Counterfactual frameworks have grown popular in explainable and fair mac...
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07/31/2021
Two-sample goodness-of-fit tests on the flat torus based on Wasserstein distance and their relevance to structural biology
This work is motivated by the study of local protein structure, which is...
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04/11/2021
The Many Faces of 1-Lipschitz Neural Networks
Lipschitz constrained models have been used to solve specifics deep lear...
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02/17/2021
A Consistent Extension of Discrete Optimal Transport Maps for Machine Learning Applications
Optimal transport maps define a one-to-one correspondence between probab...
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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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12/23/2019