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Monge-Kantorovich Depth, Quantiles, Ranks, and Signs
v1v2v3v4 (latest)

Monge-Kantorovich Depth, Quantiles, Ranks, and Signs

29 December 2014
Victor Chernozhukov
Alfred Galichon
Marc Hallin
Marc Henry
ArXiv (abs)PDFHTML

Papers citing "Monge-Kantorovich Depth, Quantiles, Ranks, and Signs"

50 / 109 papers shown
Title
Beyond Uncertainty Sets: Leveraging Optimal Transport to Extend Conformal Predictive Distribution to Multivariate Settings
Beyond Uncertainty Sets: Leveraging Optimal Transport to Extend Conformal Predictive Distribution to Multivariate Settings
Eugene Ndiaye
131
0
0
19 Nov 2025
Decreasing Entropic Regularization Averaged Gradient for Semi-Discrete Optimal Transport
Decreasing Entropic Regularization Averaged Gradient for Semi-Discrete Optimal Transport
Ferdinand Genans
Antoine Godichon-Baggioni
François-Xavier Vialard
Olivier Wintenberger
100
0
0
31 Oct 2025
Stochastic Optimization in Semi-Discrete Optimal Transport: Convergence Analysis and Minimax Rate
Stochastic Optimization in Semi-Discrete Optimal Transport: Convergence Analysis and Minimax Rate
Ferdinand Genans
Antoine Godichon-Baggioni
François-Xavier Vialard
Olivier Wintenberger
OT
197
0
0
29 Oct 2025
Neural Mutual Information Estimation with Vector Copulas
Neural Mutual Information Estimation with Vector Copulas
Yanzhi Chen
Zijing Ou
Adrian Weller
Michael U. Gutmann
111
2
0
23 Oct 2025
Conditional Flow Matching for Bayesian Posterior Inference
Conditional Flow Matching for Bayesian Posterior Inference
So Won Jeong
Percy S. Zhai
Veronika Ročová
126
0
0
10 Oct 2025
Neural Optimal Transport Meets Multivariate Conformal Prediction
Neural Optimal Transport Meets Multivariate Conformal Prediction
Vladimir Kondratyev
Alexander Fishkov
Nikita Kotelevskii
Mahmoud Hegazy
Remi Flamary
Maxim Panov
Eric Moulines
144
0
0
29 Sep 2025
Multidimensional Uncertainty Quantification via Optimal Transport
Multidimensional Uncertainty Quantification via Optimal Transport
Nikita Kotelevskii
Maiya Goloburda
Vladimir Kondratyev
Alexander Fishkov
Mohsen Guizani
Eric Moulines
Maxim Panov
169
1
0
26 Sep 2025
What is a good matching of probability measures? A counterfactual lens on transport maps
What is a good matching of probability measures? A counterfactual lens on transport maps
Lucas De Lara
Luca Ganassali
132
0
0
19 Sep 2025
Stability of Mean-Field Variational Inference
Stability of Mean-Field Variational Inference
Shunan Sheng
Bohan Wu
Alberto González-Sanz
Marcel Nutz
164
1
0
09 Jun 2025
Neural Estimation for Scaling Entropic Multimarginal Optimal Transport
Neural Estimation for Scaling Entropic Multimarginal Optimal Transport
Dor Tsur
Ziv Goldfeld
Kristjan Greenewald
Haim Permuter
137
1
0
31 May 2025
Minimum Volume Conformal Sets for Multivariate Regression
Minimum Volume Conformal Sets for Multivariate Regression
Sacha Braun
Liviu Aolaritei
Michael I. Jordan
Francis Bach
351
19
0
24 Mar 2025
A primer on optimal transport for causal inference with observational data
Florian F Gunsilius
OTCML
250
3
0
10 Mar 2025
Flow-based Conformal Prediction for Multi-dimensional Time Series
Flow-based Conformal Prediction for Multi-dimensional Time Series
Junghwan Lee
Chen Xu
Yao Xie
AI4TSAI4CE
291
2
0
08 Feb 2025
Multivariate Conformal Prediction using Optimal Transport
Multivariate Conformal Prediction using Optimal Transport
Stephen Zhang
Louis Béthune
Eugène Ndiaye
Marco Cuturi
OT
387
13
0
05 Feb 2025
Distribution-free Measures of Association based on Optimal Transport
Distribution-free Measures of Association based on Optimal Transport
Nabarun Deb
Promit Ghosal
B. Sen
OT
301
5
0
20 Nov 2024
Wasserstein Spatial Depth
Wasserstein Spatial Depth
François Bachoc
Alberto González Sanz
Jean-Michel Loubes
Yisha Yao
256
1
0
16 Nov 2024
On the robustness of semi-discrete optimal transport
On the robustness of semi-discrete optimal transport
Davy Paindaveine
Riccardo Passeggeri
OT
206
1
0
25 Oct 2024
On the breakdown point of transport-based quantiles
On the breakdown point of transport-based quantiles
Marco Avella-Medina
Alberto González-Sanz
OT
169
1
0
21 Oct 2024
Quantiles and Quantile Regression on Riemannian Manifolds: a
  measure-transportation-based approach
Quantiles and Quantile Regression on Riemannian Manifolds: a measure-transportation-based approach
Marc Hallin
Hang Liu
80
3
0
21 Oct 2024
Deep Generative Quantile Bayes
Deep Generative Quantile BayesInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2024
Jungeum Kim
Percy S. Zhai
Veronika Rockova
374
1
0
10 Oct 2024
Improved performance guarantees for Tukey's median
Improved performance guarantees for Tukey's median
Stanislav Minsker
Yinan Shen
FedML
190
1
0
30 Sep 2024
Two-Sample Testing with a Graph-Based Total Variation Integral
  Probability Metric
Two-Sample Testing with a Graph-Based Total Variation Integral Probability Metric
Alden Green
Sivaraman Balakrishnan
Robert Tibshirani
166
1
0
24 Sep 2024
Plug-in estimation of Schrödinger bridges
Plug-in estimation of Schrödinger bridges
Aram-Alexandre Pooladian
Jonathan Niles-Weed
DiffMOT
234
6
0
21 Aug 2024
Regularized estimation of Monge-Kantorovich quantiles for spherical data
Regularized estimation of Monge-Kantorovich quantiles for spherical data
Bernard Bercu
Jérémie Bigot
Gauthier Thurin
OT
235
1
0
02 Jul 2024
Neural Optimal Transport with Lagrangian Costs
Neural Optimal Transport with Lagrangian Costs
Aram-Alexandre Pooladian
Carles Domingo-Enrich
Ricky T. Q. Chen
Brandon Amos
OT
332
19
0
01 Jun 2024
Semi-Discrete Optimal Transport: Nearly Minimax Estimation With
  Stochastic Gradient Descent and Adaptive Entropic Regularization
Semi-Discrete Optimal Transport: Nearly Minimax Estimation With Stochastic Gradient Descent and Adaptive Entropic Regularization
Ferdinand Genans
Antoine Godichon-Baggioni
Franccois-Xavier Vialard
Olivier Wintenberger
180
0
0
23 May 2024
Neural Estimation Of Entropic Optimal Transport
Neural Estimation Of Entropic Optimal Transport
Tao Wang
Ziv Goldfeld
OT
236
3
0
10 May 2024
Comparing Multivariate Distributions: A Novel Approach Using Optimal
  Transport-based Plots
Comparing Multivariate Distributions: A Novel Approach Using Optimal Transport-based Plots
Sibsankar Singha
Marie Kratz
S. Vadlamani
118
1
0
30 Apr 2024
A Copula Graphical Model for Multi-Attribute Data using Optimal
  Transport
A Copula Graphical Model for Multi-Attribute Data using Optimal Transport
Q. Zhang
Bing Li
Lingzhou Xue
184
0
0
10 Apr 2024
Multiple-output composite quantile regression through an optimal
  transport lens
Multiple-output composite quantile regression through an optimal transport lens
Xuzhi Yang
Tengyao Wang
199
1
0
14 Feb 2024
Theoretical properties of angular halfspace depth
Theoretical properties of angular halfspace depth
Stanislav Nagy
Petra Laketa
157
3
0
13 Feb 2024
Local Identification in Instrumental Variable Multivariate Quantile
  Regression Models
Local Identification in Instrumental Variable Multivariate Quantile Regression Models
Haruki Kono
163
0
0
21 Jan 2024
On the use of the M-quantiles for outlier detection in multivariate data
On the use of the M-quantiles for outlier detection in multivariate data
SAJAL CHAKROBORTY
Ram Iyer
A. A. Trindade
139
3
0
03 Jan 2024
Fast kernel half-space depth for data with non-convex supports
Fast kernel half-space depth for data with non-convex supports
Arturo Castellanos
Pavlo Mozharovskyi
Florence dÁlché-Buc
Hicham Janati
MDE
134
1
0
21 Dec 2023
A New Perspective On Denoising Based On Optimal Transport
A New Perspective On Denoising Based On Optimal TransportInformation and Inference A Journal of the IMA (JIII), 2023
Nicolas García Trillos
Bodhisattva Sen
OODOT
197
2
0
13 Dec 2023
Toward Stronger Textual Attack Detectors
Toward Stronger Textual Attack DetectorsConference on Empirical Methods in Natural Language Processing (EMNLP), 2023
Pierre Colombo
Marine Picot
Nathan Noiry
Guillaume Staerman
Pablo Piantanida
786
5
0
21 Oct 2023
Nearly Minimax Optimal Wasserstein Conditional Independence Testing
Nearly Minimax Optimal Wasserstein Conditional Independence TestingInformation and Inference A Journal of the IMA (JIII), 2023
Matey Neykov
Larry A. Wasserman
Ilmun Kim
Sivaraman Balakrishnan
258
3
0
16 Aug 2023
Monge-Kantorovich superquantiles and expected shortfalls with
  applications to multivariate risk measurements
Monge-Kantorovich superquantiles and expected shortfalls with applications to multivariate risk measurementsElectronic Journal of Statistics (EJS), 2023
Bernard Bercu
Jérémie Bigot
Gauthier Thurin
183
1
0
04 Jul 2023
Vector Quantile Regression on Manifolds
Vector Quantile Regression on ManifoldsInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2023
Marco Pegoraro
S. Vedula
Aviv A. Rosenberg
Irene Tallini
Emanuele Rodolà
A. Bronstein
302
2
0
03 Jul 2023
Kernel Random Projection Depth for Outlier Detection
Kernel Random Projection Depth for Outlier DetectionAsia-Pacific Signal and Information Processing Association Annual Summit and Conference (APSIPA ASC), 2023
Akira Tamamori
198
1
0
12 Jun 2023
Adaptive Conditional Quantile Neural Processes
Adaptive Conditional Quantile Neural ProcessesConference on Uncertainty in Artificial Intelligence (UAI), 2023
Peiman Mohseni
N. Duffield
Bani Mallick
Arman Hasanzadeh
269
4
0
30 May 2023
Regularity of center-outward distribution functions in non-convex
  domains
Regularity of center-outward distribution functions in non-convex domainsAdvanced Nonlinear Studies (ANS), 2023
E. del Barrio
Alberto González Sanz
182
8
0
29 Mar 2023
Stability and statistical inference for semidiscrete optimal transport
  maps
Stability and statistical inference for semidiscrete optimal transport mapsThe Annals of Applied Probability (Ann. Appl. Probab.), 2023
Ritwik Sadhu
Ziv Goldfeld
Kengo Kato
OT
174
4
0
17 Mar 2023
On Rank Energy Statistics via Optimal Transport: Continuity,
  Convergence, and Change Point Detection
On Rank Energy Statistics via Optimal Transport: Continuity, Convergence, and Change Point DetectionIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2023
Matthew Werenski
Shoaib Bin Masud
James M. Murphy
Shuchin Aeron
195
5
0
15 Feb 2023
How to Trust Your Diffusion Model: A Convex Optimization Approach to
  Conformal Risk Control
How to Trust Your Diffusion Model: A Convex Optimization Approach to Conformal Risk ControlInternational Conference on Machine Learning (ICML), 2023
Jacopo Teneggi
Matthew Tivnan
J. W. Stayman
Jeremias Sulam
DiffM
361
41
0
07 Feb 2023
A Bipartite Ranking Approach to the Two-Sample Problem
A Bipartite Ranking Approach to the Two-Sample ProblemElectronic Journal of Statistics (EJS), 2023
Stéphan Clémenccon
Myrto Limnios
Nicolas Vayatis
165
4
0
07 Feb 2023
Stochastic optimal transport in Banach Spaces for regularized estimation of multivariate quantiles
Stochastic optimal transport in Banach Spaces for regularized estimation of multivariate quantilesSIAM Journal on Mathematics of Data Science (SIMODS), 2023
Bernard Bercu
Jérémie Bigot
Gauthier Thurin
420
2
0
02 Feb 2023
Minimax estimation of discontinuous optimal transport maps: The
  semi-discrete case
Minimax estimation of discontinuous optimal transport maps: The semi-discrete caseInternational Conference on Machine Learning (ICML), 2023
Aram-Alexandre Pooladian
Vincent Divol
Jonathan Niles-Weed
OT
244
26
0
26 Jan 2023
Nonparametric Measure-Transportation-Based Methods for Directional Data
Nonparametric Measure-Transportation-Based Methods for Directional Data
Marc Hallin
Han Liu
Thomas Verdebout
OT
298
11
0
20 Dec 2022
Optimal transport map estimation in general function spaces
Optimal transport map estimation in general function spaces
Vincent Divol
Jonathan Niles-Weed
Aram-Alexandre Pooladian
OT
204
25
0
07 Dec 2022
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