Statistical bounds for entropic optimal transport: sample complexity and the central limit theorem

28 May 2019

Papers citing "Statistical bounds for entropic optimal transport: sample complexity and the central limit theorem"

43 / 43 papers shown

Title
Tree-Sliced Wasserstein Distance with Nonlinear Projection T. Tran Viet-Hoang Tran Thanh T. Chu Trang Pham Laurent El Ghaoui Tam Le T. Nguyen 29 0 0 02 May 2025
Wasserstein Flow Matching: Generative modeling over families of distributions Doron Haviv Aram-Alexandre Pooladian D. Pe’er Brandon Amos OOD 47 0 0 01 Nov 2024
Linearized Wasserstein Barycenters: Synthesis, Analysis, Representational Capacity, and Applications Matthew Werenski Brendan Mallery Shuchin Aeron James M. Murphy 46 0 0 31 Oct 2024
The Benefits of Balance: From Information Projections to Variance Reduction Lang Liu Ronak R. Mehta Soumik Pal Zaïd Harchaoui 35 0 0 27 Aug 2024
Limit Distribution Theory for Quantum Divergences Sreejith Sreekumar Mario Berta 33 2 0 22 Nov 2023
Hilbert's projective metric for functions of bounded growth and exponential convergence of Sinkhorn's algorithm Stephan Eckstein 39 7 0 07 Nov 2023
Optimal Transport for Measures with Noisy Tree Metric Tam Le Truyen V. Nguyen Kenji Fukumizu OT 39 4 0 20 Oct 2023
Monge-Kantorovich superquantiles and expected shortfalls with applications to multivariate risk measurements Bernard Bercu Jérémie Bigot Gauthier Thurin 42 0 0 04 Jul 2023
Minimum intrinsic dimension scaling for entropic optimal transport Austin J. Stromme 27 10 0 06 Jun 2023
Diffeomorphic Mesh Deformation via Efficient Optimal Transport for Cortical Surface Reconstruction Tung Le Khai Nguyen Shanlin Sun Kun Han Nhat Ho Xiaohui Xie 45 5 0 27 May 2023
Weak Limits for Empirical Entropic Optimal Transport: Beyond Smooth Costs Alberto González Sanz Shayan Hundrieser OT 36 9 0 16 May 2023
The Monge Gap: A Regularizer to Learn All Transport Maps Théo Uscidda Marco Cuturi OT 55 27 0 09 Feb 2023
Minimax estimation of discontinuous optimal transport maps: The semi-discrete case Aram-Alexandre Pooladian Vincent Divol Jonathan Niles-Weed OT 32 20 0 26 Jan 2023
Unbalanced Optimal Transport, from Theory to Numerics Thibault Séjourné Gabriel Peyré Franccois-Xavier Vialard OT 30 48 0 16 Nov 2022
Budget-Constrained Bounds for Mini-Batch Estimation of Optimal Transport David Alvarez-Melis Nicolò Fusi Lester W. Mackey Tal Wagner OT 35 1 0 24 Oct 2022
Stability of Entropic Wasserstein Barycenters and application to random geometric graphs Marc Theveneau Nicolas Keriven 23 4 0 19 Oct 2022
Gaussian Processes on Distributions based on Regularized Optimal Transport François Bachoc Louis Bethune Alberto González Sanz Jean-Michel Loubes GP OT 34 7 0 12 Oct 2022
Using the Sinkhorn divergence in permutation tests for the multivariate two-sample problem E. del Barrio J. S. Osorio A. Quiroz 21 0 0 28 Sep 2022
Hierarchical Sliced Wasserstein Distance Khai Nguyen Tongzheng Ren Huy Nguyen Litu Rout T. Nguyen Nhat Ho 38 20 0 27 Sep 2022
Limit Theorems for Entropic Optimal Transport Maps and the Sinkhorn Divergence Ziv Goldfeld Kengo Kato Gabriel Rioux Ritwik Sadhu 52 27 0 18 Jul 2022
Weak limits of entropy regularized Optimal Transport; potentials, plans and divergences Alberto González Sanz Jean-Michel Loubes Jonathan Niles-Weed OT 27 22 0 15 Jul 2022
Diffeomorphic Registration using Sinkhorn Divergences Lucas de Lara Alberto González Sanz Jean-Michel Loubes FedML 22 8 0 28 Jun 2022
Statistical inference with regularized optimal transport Ziv Goldfeld Kengo Kato Gabriel Rioux Ritwik Sadhu OT 49 34 0 09 May 2022
An improved central limit theorem and fast convergence rates for entropic transportation costs E. del Barrio Alberto González Sanz Jean-Michel Loubes Jonathan Niles-Weed OT 36 32 0 19 Apr 2022
Revisiting Sliced Wasserstein on Images: From Vectorization to Convolution Khai Nguyen Nhat Ho 30 25 0 04 Apr 2022
An entropic generalization of Caffarelli's contraction theorem via covariance inequalities Sinho Chewi Aram-Alexandre Pooladian 38 36 0 09 Mar 2022
Entropic Optimal Transport in Random Graphs Nicolas Keriven OT 25 4 0 11 Jan 2022
Understanding Entropic Regularization in GANs Daria Reshetova Yikun Bai Xiugang Wu Ayfer Özgür 16 7 0 02 Nov 2021
Optimal transport weights for causal inference Eric A. Dunipace CML OT 28 9 0 05 Sep 2021
Estimation of Stationary Optimal Transport Plans Kevin O'Connor K. Mcgoff A. Nobel OT 37 3 0 25 Jul 2021
Asymptotics for semi-discrete entropic optimal transport Jason M. Altschuler Jonathan Niles-Weed Austin J. Stromme 19 27 0 22 Jun 2021
Discrepancy-based Inference for Intractable Generative Models using Quasi-Monte Carlo Ziang Niu J. Meier F. Briol 42 12 0 22 Jun 2021
Two-sample Test with Kernel Projected Wasserstein Distance Jie Wang Rui Gao Yao Xie 31 19 0 12 Feb 2021
Entropy Partial Transport with Tree Metrics: Theory and Practice Tam Le Truyen V. Nguyen OT 38 15 0 24 Jan 2021
Smooth $p$ -Wasserstein Distance: Structure, Empirical Approximation, and Statistical Applications Sloan Nietert Ziv Goldfeld Kengo Kato 46 30 0 11 Jan 2021
Convergence and finite sample approximations of entropic regularized Wasserstein distances in Gaussian and RKHS settings M. H. Quang 64 5 0 05 Jan 2021
Entropy-regularized optimal transport on multivariate normal and q-normal distributions Qijun Tong Kei Kobayashi OT 23 7 0 19 Dec 2020
Debiased Sinkhorn barycenters H. Janati Marco Cuturi Alexandre Gramfort OT 27 55 0 03 Jun 2020
Statistical and Topological Properties of Sliced Probability Divergences Kimia Nadjahi Alain Durmus Lénaïc Chizat Soheil Kolouri Shahin Shahrampour Umut Simsekli 26 81 0 12 Mar 2020
Regularized Optimal Transport is Ground Cost Adversarial Franccois-Pierre Paty Marco Cuturi OT AAML OOD 41 29 0 10 Feb 2020
Gaussian-Smooth Optimal Transport: Metric Structure and Statistical Efficiency Ziv Goldfeld Kristjan Greenewald OT 33 39 0 24 Jan 2020
Sinkhorn Divergences for Unbalanced Optimal Transport Thibault Séjourné Jean Feydy Franccois-Xavier Vialard A. Trouvé Gabriel Peyré OT 32 72 0 28 Oct 2019
How Well Do WGANs Estimate the Wasserstein Metric? Anton Mallasto Guido Montúfar Augusto Gerolin 30 25 0 09 Oct 2019