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Multivariate Ranks and Quantiles using Optimal Transport: Consistency, Rates, and Nonparametric Testing

14 May 2019

Papers citing "Multivariate Ranks and Quantiles using Optimal Transport: Consistency, Rates, and Nonparametric Testing"

35 / 35 papers shown

Title
Stability of Mean-Field Variational Inference Shunan Sheng Bohan Wu Alberto González-Sanz Marcel Nutz 18 0 0 09 Jun 2025
On the robustness of semi-discrete optimal transport Davy Paindaveine Riccardo Passeggeri OT 46 0 0 25 Oct 2024
Plug-in estimation of Schrödinger bridges Aram-Alexandre Pooladian Jonathan Niles-Weed DiffM OT 77 2 0 21 Aug 2024
Regularized estimation of Monge-Kantorovich quantiles for spherical data Bernard Bercu Jérémie Bigot Gauthier Thurin OT 76 1 0 02 Jul 2024
Neural Estimation Of Entropic Optimal Transport Tao Wang Ziv Goldfeld OT 66 2 0 10 May 2024
Comparing Multivariate Distributions: A Novel Approach Using Optimal Transport-based Plots Sibsankar Singha Marie Kratz S. Vadlamani 39 0 0 30 Apr 2024
A Copula Graphical Model for Multi-Attribute Data using Optimal Transport Q. Zhang Bing Li Lingzhou Xue 56 0 0 10 Apr 2024
Local Identification in Instrumental Variable Multivariate Quantile Regression Models Haruki Kono 52 0 0 21 Jan 2024
On the use of the M-quantiles for outlier detection in multivariate data SAJAL CHAKROBORTY Ram Iyer A. A. Trindade 13 2 0 03 Jan 2024
A New Perspective On Denoising Based On Optimal Transport Nicolas García Trillos Bodhisattva Sen OOD OT 68 0 0 13 Dec 2023
Conditional Optimal Transport on Function Spaces Bamdad Hosseini Alexander W. Hsu Amirhossein Taghvaei OT 118 16 0 09 Nov 2023
Nearly Minimax Optimal Wasserstein Conditional Independence Testing Matey Neykov Larry A. Wasserman Ilmun Kim Sivaraman Balakrishnan 56 2 0 16 Aug 2023
Monge-Kantorovich superquantiles and expected shortfalls with applications to multivariate risk measurements Bernard Bercu Jérémie Bigot Gauthier Thurin 56 0 0 04 Jul 2023
BOtied: Multi-objective Bayesian optimization with tied multivariate ranks Ji Won Park Natavsa Tagasovska Michael R. Maser Stephen Ra Kyunghyun Cho 165 9 0 01 Jun 2023
Perturbation-Assisted Sample Synthesis: A Novel Approach for Uncertainty Quantification Yifei Liu Rex Shen Xiaotong Shen DiffM 66 1 0 30 May 2023
Optimal transport and Wasserstein distances for causal models Patrick Cheridito Stephan Eckstein OT 93 7 0 24 Mar 2023
Stability and statistical inference for semidiscrete optimal transport maps Ritwik Sadhu Ziv Goldfeld Kengo Kato OT 61 3 0 17 Mar 2023
Stochastic optimal transport in Banach Spaces for regularized estimation of multivariate quantiles Bernard Bercu Jérémie Bigot Gauthier Thurin 79 2 0 02 Feb 2023
Minimax estimation of discontinuous optimal transport maps: The semi-discrete case Aram-Alexandre Pooladian Vincent Divol Jonathan Niles-Weed OT 73 21 0 26 Jan 2023
Nonparametric Measure-Transportation-Based Methods for Directional Data Marc Hallin Han Liu Thomas Verdebout OT 76 10 0 20 Dec 2022
Distribution-free joint independence testing and robust independent component analysis using optimal transport Ziang Niu B. Bhattacharya 67 2 0 28 Nov 2022
A survey of some recent developments in measures of association S. Chatterjee 55 16 0 09 Nov 2022
Center-outward Rank- and Sign-based VARMA Portmanteau Tests: Chitturi, Hosking, and Li--McLeod revisited Marc Hallin Han Liu 89 7 0 25 Aug 2022
Graphical and uniform consistency of estimated optimal transport plans Johan Segers OT 62 8 0 04 Aug 2022
Limit Theorems for Entropic Optimal Transport Maps and the Sinkhorn Divergence Ziv Goldfeld Kengo Kato Gabriel Rioux Ritwik Sadhu 71 29 0 18 Jul 2022
A universal robustification procedure Riccardo Passeggeri Nancy Reid 61 0 0 14 Jun 2022
Distributional Convergence of the Sliced Wasserstein Process Jiaqi Xi Jonathan Niles-Weed 57 7 0 01 Jun 2022
Statistical inference with regularized optimal transport Ziv Goldfeld Kengo Kato Gabriel Rioux Ritwik Sadhu OT 77 36 0 09 May 2022
Nonparametric Multiple-Output Center-Outward Quantile Regression E. del Barrio Alberto González Sanz Marc Hallin 71 29 0 25 Apr 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 71 36 0 19 Apr 2022
The multirank likelihood for semiparametric canonical correlation analysis Jordan Bryan Jonathan Niles-Weed P. Hoff 30 0 0 14 Dec 2021
Distribution-free tests of multivariate independence based on center-outward quadrant, Spearman, Kendall, and van der Waerden statistics Hongjian Shi Mathias Drton Marc Hallin Fang Han 51 6 0 30 Nov 2021
Transport-based Counterfactual Models Lucas de Lara Alberto González Sanz Nicholas M. Asher Laurent Risser Jean-Michel Loubes 52 31 0 30 Aug 2021
Plugin Estimation of Smooth Optimal Transport Maps Tudor Manole Sivaraman Balakrishnan Jonathan Niles-Weed Larry A. Wasserman OT 89 100 0 26 Jul 2021
On universally consistent and fully distribution-free rank tests of vector independence Hongjian Shi Marc Hallin Mathias Drton Fang Han 77 37 0 04 Jul 2020