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Monge-Kantorovich Depth, Quantiles, Ranks, and Signs

Monge-Kantorovich Depth, Quantiles, Ranks, and Signs

29 December 2014
Victor Chernozhukov
Alfred Galichon
Marc Hallin
Marc Henry
ArXivPDFHTML

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

47 / 47 papers shown
Title
A primer on optimal transport for causal inference with observational data
Florian F Gunsilius
OT
CML
87
0
0
10 Mar 2025
Multivariate Conformal Prediction using Optimal Transport
Multivariate Conformal Prediction using Optimal Transport
Michal Klein
Louis Béthune
Eugène Ndiaye
Marco Cuturi
OT
69
3
0
05 Feb 2025
Deep Generative Quantile Bayes
Deep Generative Quantile Bayes
Jungeum Kim
Percy S. Zhai
Veronika Rockova
51
0
0
10 Oct 2024
Local Identification in Instrumental Variable Multivariate Quantile
  Regression Models
Local Identification in Instrumental Variable Multivariate Quantile Regression Models
Haruki Kono
13
0
0
21 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
28
0
0
21 Dec 2023
A New Perspective On Denoising Based On Optimal Transport
A New Perspective On Denoising Based On Optimal Transport
Nicolas García Trillos
Bodhisattva Sen
OOD
OT
43
0
0
13 Dec 2023
Toward Stronger Textual Attack Detectors
Toward Stronger Textual Attack Detectors
Pierre Colombo
Marine Picot
Nathan Noiry
Guillaume Staerman
Pablo Piantanida
62
5
0
21 Oct 2023
Monge-Kantorovich superquantiles and expected shortfalls with
  applications to multivariate risk measurements
Monge-Kantorovich superquantiles and expected shortfalls with applications to multivariate risk measurements
Bernard Bercu
Jérémie Bigot
Gauthier Thurin
40
0
0
04 Jul 2023
Regularity of center-outward distribution functions in non-convex
  domains
Regularity of center-outward distribution functions in non-convex domains
E. del Barrio
Alberto González Sanz
26
7
0
29 Mar 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 Control
Jacopo Teneggi
Matthew Tivnan
J. W. Stayman
Jeremias Sulam
DiffM
35
28
0
07 Feb 2023
A Bipartite Ranking Approach to the Two-Sample Problem
A Bipartite Ranking Approach to the Two-Sample Problem
Stéphan Clémenccon
Myrto Limnios
Nicolas Vayatis
27
2
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 quantiles
Bernard Bercu
Jérémie Bigot
Gauthier Thurin
39
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 case
Aram-Alexandre Pooladian
Vincent Divol
Jonathan Niles-Weed
OT
27
20
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
28
10
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
40
22
0
07 Dec 2022
Center-Outward Multiple-Output Lorenz Curves and Gini Indices a measure
  transportation approach
Center-Outward Multiple-Output Lorenz Curves and Gini Indices a measure transportation approach
Marc Hallin
Gilles Mordant
33
8
0
19 Nov 2022
A survey of some recent developments in measures of association
A survey of some recent developments in measures of association
S. Chatterjee
19
14
0
09 Nov 2022
Decorrelation with conditional normalizing flows
Decorrelation with conditional normalizing flows
Samuel Klein
T. Golling
40
4
0
04 Nov 2022
Quantile-constrained Wasserstein projections for robust interpretability
  of numerical and machine learning models
Quantile-constrained Wasserstein projections for robust interpretability of numerical and machine learning models
Marouane Il Idrissi
Nicolas Bousquet
Fabrice Gamboa
Bertrand Iooss
Jean-Michel Loubes
41
3
0
23 Sep 2022
Another look at halfspace depth: Flag halfspaces with applications
Another look at halfspace depth: Flag halfspaces with applications
Dušan Pokorný
Petra Laketa
Stanislav Nagy
MDE
21
5
0
23 Sep 2022
Center-outward Rank- and Sign-based VARMA Portmanteau Tests: Chitturi,
  Hosking, and Li--McLeod revisited
Center-outward Rank- and Sign-based VARMA Portmanteau Tests: Chitturi, Hosking, and Li--McLeod revisited
Marc Hallin
Han Liu
41
7
0
25 Aug 2022
Limit Theorems for Entropic Optimal Transport Maps and the Sinkhorn
  Divergence
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
A universal robustification procedure
A universal robustification procedure
Riccardo Passeggeri
Nancy Reid
18
0
0
14 Jun 2022
An optimal transport approach for selecting a representative subsample
  with application in efficient kernel density estimation
An optimal transport approach for selecting a representative subsample with application in efficient kernel density estimation
Jingyi Zhang
Cheng Meng
Jun Yu
Mengrui Zhang
Wenxuan Zhong
Ping Ma
OT
37
12
0
31 May 2022
Fast Nonlinear Vector Quantile Regression
Fast Nonlinear Vector Quantile Regression
Aviv A. Rosenberg
S. Vedula
Yaniv Romano
A. Bronstein
30
7
0
30 May 2022
Statistical inference with regularized optimal transport
Statistical inference with regularized optimal transport
Ziv Goldfeld
Kengo Kato
Gabriel Rioux
Ritwik Sadhu
OT
49
34
0
09 May 2022
Discussion of 'Multivariate Fisher's independence test for multivariate
  dependence'
Discussion of 'Multivariate Fisher's independence test for multivariate dependence'
Thomas B. Berrett
42
0
0
02 May 2022
Nonparametric Multiple-Output Center-Outward Quantile Regression
Nonparametric Multiple-Output Center-Outward Quantile Regression
E. del Barrio
Alberto González Sanz
Marc Hallin
27
28
0
25 Apr 2022
An improved central limit theorem and fast convergence rates for
  entropic transportation costs
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
34
32
0
19 Apr 2022
A Unifying Framework for Some Directed Distances in Statistics
A Unifying Framework for Some Directed Distances in Statistics
M. Broniatowski
W. Stummer
FedML
21
1
0
02 Mar 2022
Multivariate Quantile Function Forecaster
Multivariate Quantile Function Forecaster
Kelvin K. Kan
Franccois-Xavier Aubet
Tim Januschowski
Youngsuk Park
Konstantinos Benidis
Lars Ruthotto
Jan Gasthaus
AI4TS
39
22
0
23 Feb 2022
Empirical Optimal Transport between Different Measures Adapts to Lower
  Complexity
Empirical Optimal Transport between Different Measures Adapts to Lower Complexity
Shayan Hundrieser
Thomas Staudt
Axel Munk
OT
41
22
0
21 Feb 2022
Eikonal depth: an optimal control approach to statistical depths
Eikonal depth: an optimal control approach to statistical depths
M. Molina-Fructuoso
Ryan W. Murray
MDE
31
4
0
14 Jan 2022
On the Finite-Sample Performance of Measure Transportation-Based
  Multivariate Rank Tests
On the Finite-Sample Performance of Measure Transportation-Based Multivariate Rank Tests
Marc Hallin
Gilles Mordant
31
12
0
08 Nov 2021
Boundary Estimation from Point Clouds: Algorithms, Guarantees and
  Applications
Boundary Estimation from Point Clouds: Algorithms, Guarantees and Applications
Jeff Calder
Sangmin Park
D. Slepčev
3DPC
35
10
0
05 Nov 2021
Calibrated Multiple-Output Quantile Regression with Representation
  Learning
Calibrated Multiple-Output Quantile Regression with Representation Learning
Shai Feldman
Stephen Bates
Yaniv Romano
53
33
0
02 Oct 2021
Halfspace depth for general measures: The ray basis theorem and its
  consequences
Halfspace depth for general measures: The ray basis theorem and its consequences
Petra Laketa
Stanislav Nagy
MDE
16
6
0
31 May 2021
Fully distribution-free center-outward rank tests for multiple-output
  regression and MANOVA
Fully distribution-free center-outward rank tests for multiple-output regression and MANOVA
Marc Hallin
D. Hlubinka
Š. Hudecová
37
34
0
30 Jul 2020
Center-Outward R-Estimation for Semiparametric VARMA Models
Center-Outward R-Estimation for Semiparametric VARMA Models
Marc Hallin
Davide La Vecchia
Han Liu
35
37
0
18 Oct 2019
Quantitative stability of optimal transport maps and linearization of
  the 2-Wasserstein space
Quantitative stability of optimal transport maps and linearization of the 2-Wasserstein space
Q. Mérigot
Alex Delalande
Frédéric Chazal
OT
8
44
0
14 Oct 2019
Multivariate Rank-based Distribution-free Nonparametric Testing using
  Measure Transportation
Multivariate Rank-based Distribution-free Nonparametric Testing using Measure Transportation
Nabarun Deb
B. Sen
52
130
0
18 Sep 2019
Empirical Regularized Optimal Transport: Statistical Theory and
  Applications
Empirical Regularized Optimal Transport: Statistical Theory and Applications
M. Klatt
Carla Tameling
Axel Munk
OT
44
59
0
23 Oct 2018
On the Continuity of Center-Outward Distribution and Quantile Functions
On the Continuity of Center-Outward Distribution and Quantile Functions
Alessio Figalli
15
53
0
13 May 2018
Understanding GANs: the LQG Setting
Understanding GANs: the LQG Setting
S. Feizi
Changho Suh
F. Xia
David Tse
42
63
0
30 Oct 2017
Halfspace depths for scatter, concentration and shape matrices
Halfspace depths for scatter, concentration and shape matrices
D. Paindaveine
Germain Van Bever
33
21
0
20 Apr 2017
A statistical analysis of a deformation model with Wasserstein
  barycenters : estimation procedure and goodness of fit test
A statistical analysis of a deformation model with Wasserstein barycenters : estimation procedure and goodness of fit test
E. del Barrio
H. Lescornel
Jean-Michel Loubes
12
16
0
26 Aug 2015
Semiparametrically efficient rank-based inference for shape II. Optimal
  R-estimation of shape
Semiparametrically efficient rank-based inference for shape II. Optimal R-estimation of shape
Marc Hallin
H. Oja
D. Paindaveine
108
99
0
01 Aug 2007
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