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05/30/2019
Convergence of Smoothed Empirical Measures with Applications to Entropy Estimation
This paper studies convergence of empirical measures smoothed by a Gauss...
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05/28/2019
Statistical bounds for entropic optimal transport: sample complexity and the central limit theorem
We prove several fundamental statistical bounds for entropic OT with the...
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02/05/2019
Estimation of smooth densities in Wasserstein distance
The Wasserstein distances are a set of metrics on probability distributi...
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12/12/2018
Massively scalable Sinkhorn distances via the Nyström method
The Sinkhorn distance, a variant of the Wasserstein distance with entrop...
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10/23/2018
Approximating the Quadratic Transportation Metric in Near-Linear Time
Computing the quadratic transportation metric (also called the 2-Wassers...
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09/14/2018
Entropic optimal transport is maximum-likelihood deconvolution
We give a statistical interpretation of entropic optimal transport by sh...
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06/27/2018
Uncoupled isotonic regression via minimum Wasserstein deconvolution
Isotonic regression is a standard problem in shape-constrained estimatio...
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06/19/2018
Statistical Optimal Transport via Geodesic Hubs
We propose a new method to estimate Wasserstein distances and optimal tr...
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06/05/2018
An explicit analysis of the entropic penalty in linear programming
Solving linear programs by using entropic penalization has recently attr...
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12/29/2017
Estimation under group actions: recovering orbits from invariants
Motivated by geometric problems in signal processing, computer vision, a...
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10/28/2017
Minimax Rates and Efficient Algorithms for Noisy Sorting
There has been a recent surge of interest in studying permutation-based ...
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05/26/2017
Near-linear time approximation algorithms for optimal transport via Sinkhorn iteration
Computing optimal transport distances such as the earth mover's distance...
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11/18/2015