Minimax estimation of discontinuous optimal transport maps: The semi-discrete case

26 January 2023

Papers citing "Minimax estimation of discontinuous optimal transport maps: The semi-discrete case"

19 / 19 papers shown

Title
Wasserstein Flow Matching: Generative modeling over families of distributions Doron Haviv Aram-Alexandre Pooladian Dana Peér Brandon Amos OOD 60 1 0 01 Nov 2024
Neural Unbalanced Optimal Transport via Cycle-Consistent Semi-Couplings Frederike Lubeck Charlotte Bunne Gabriele Gut J. Castillo L. Pelkmans David Alvarez-Melis OT 38 22 0 30 Sep 2022
Limit Theorems for Entropic Optimal Transport Maps and the Sinkhorn Divergence Ziv Goldfeld Kengo Kato Gabriel Rioux Ritwik Sadhu 59 28 0 18 Jul 2022
Supervised Training of Conditional Monge Maps Charlotte Bunne Andreas Krause Marco Cuturi OT 127 65 0 28 Jun 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 48 34 0 19 Apr 2022
An entropic generalization of Caffarelli's contraction theorem via covariance inequalities Sinho Chewi Aram-Alexandre Pooladian 52 39 0 09 Mar 2022
Empirical Optimal Transport between Different Measures Adapts to Lower Complexity Shayan Hundrieser Thomas Staudt Axel Munk OT 58 23 0 21 Feb 2022
Central Limit Theorems for Semidiscrete Wasserstein Distances E. del Barrio Alberto González Sanz Jean-Michel Loubes OT 28 9 0 13 Feb 2022
Near-optimal estimation of smooth transport maps with kernel sums-of-squares Boris Muzellec A. Vacher Francis R. Bach Franccois-Xavier Vialard Alessandro Rudi OT 54 21 0 03 Dec 2021
Nearly Tight Convergence Bounds for Semi-discrete Entropic Optimal Transport Shin Kamada 48 15 0 25 Oct 2021
Rates of Estimation of Optimal Transport Maps using Plug-in Estimators via Barycentric Projections Nabarun Deb Promit Ghosal B. Sen OT 92 73 0 04 Jul 2021
Asymptotics for semi-discrete entropic optimal transport Jason M. Altschuler Jonathan Niles-Weed Austin J. Stromme 29 27 0 22 Jun 2021
Non-asymptotic convergence bounds for Wasserstein approximation using point clouds Q. Mérigot F. Santambrogio Clément Sarrazin 36 28 0 15 Jun 2021
Diffusion Schrödinger Bridge with Applications to Score-Based Generative Modeling Valentin De Bortoli James Thornton J. Heng Arnaud Doucet DiffM OT 101 465 0 01 Jun 2021
Learning normalizing flows from Entropy-Kantorovich potentials Chris Finlay Augusto Gerolin Adam M. Oberman Aram-Alexandre Pooladian 63 24 0 10 Jun 2020
Statistical Optimal Transport via Factored Couplings Aden Forrow Jan-Christian Hütter Mor Nitzan Philippe Rigollet Geoffrey Schiebinger Jonathan Niles-Weed OT 152 69 0 19 Jun 2018
Computational Optimal Transport Gabriel Peyré Marco Cuturi OT 213 2,147 0 01 Mar 2018
Monge-Kantorovich Depth, Quantiles, Ranks, and Signs Victor Chernozhukov Alfred Galichon Marc Hallin Marc Henry 152 244 0 29 Dec 2014
Sinkhorn Distances: Lightspeed Computation of Optimal Transportation Distances Marco Cuturi OT 212 4,259 0 04 Jun 2013