Limit Distribution Theory for the Smooth 1-Wasserstein Distance with
Applications

Limit Distribution Theory for the Smooth 1-Wasserstein Distance with Applications

28 July 2021

Ritwik Sadhu

Papers citing "Limit Distribution Theory for the Smooth 1-Wasserstein Distance with Applications"

14 / 14 papers shown

Title
Nonparametric mixture MLEs under Gaussian-smoothed optimal transport distance Fang Han Zhen Miao Yandi Shen OT 74 7 0 04 Dec 2021
Sharp Convergence Rates for Empirical Optimal Transport with Smooth Costs Tudor Manole Jonathan Niles-Weed OT 100 39 0 24 Jun 2021
Limit Distribution for Smooth Total Variation and $χ^2$ -Divergence in High Dimensions Ziv Goldfeld Kengo Kato 39 7 0 03 Feb 2020
Gaussian-Smooth Optimal Transport: Metric Structure and Statistical Efficiency Ziv Goldfeld Kristjan Greenewald OT 40 41 0 24 Jan 2020
Asymptotic Guarantees for Learning Generative Models with the Sliced-Wasserstein Distance Kimia Nadjahi Alain Durmus Umut Simsekli Roland Badeau MedIm 29 63 0 11 Jun 2019
Interpolating between Optimal Transport and MMD using Sinkhorn Divergences Jean Feydy Thibault Séjourné François-Xavier Vialard S. Amari A. Trouvé Gabriel Peyré OT 45 524 0 18 Oct 2018
Gromov-Wasserstein Alignment of Word Embedding Spaces David Alvarez-Melis Tommi Jaakkola OT 46 326 0 31 Aug 2018
Empirical optimal transport on countable metric spaces: Distributional limits and statistical applications Carla Tameling Max Sommerfeld Axel Munk OT 23 64 0 04 Jul 2017
Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance Jonathan Niles-Weed Francis R. Bach 111 417 0 01 Jul 2017
Near-linear time approximation algorithms for optimal transport via Sinkhorn iteration Jason M. Altschuler Jonathan Niles-Weed Philippe Rigollet OT 51 586 0 26 May 2017
Improved Training of Wasserstein GANs Ishaan Gulrajani Faruk Ahmed Martín Arjovsky Vincent Dumoulin Aaron Courville GAN 122 9,509 0 31 Mar 2017
f-GAN: Training Generative Neural Samplers using Variational Divergence Minimization Sebastian Nowozin Botond Cseke Ryota Tomioka GAN 84 1,648 0 02 Jun 2016
Sinkhorn Distances: Lightspeed Computation of Optimal Transportation Distances Marco Cuturi OT 121 4,210 0 04 Jun 2013
Anti-concentration and honest, adaptive confidence bands Victor Chernozhukov Denis Chetverikov Kengo Kato 112 174 0 28 Mar 2013