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Limit laws of the empirical Wasserstein distance: Gaussian distributions
v1v2 (latest)

Limit laws of the empirical Wasserstein distance: Gaussian distributions

Journal of Multivariate Analysis (JMA), 2015
15 July 2015
Thomas Rippl
Axel Munk
A. Sturm
ArXiv (abs)PDFHTML

Papers citing "Limit laws of the empirical Wasserstein distance: Gaussian distributions"

28 / 28 papers shown
Personalised Federated Learning On Heterogeneous Feature Spaces
Personalised Federated Learning On Heterogeneous Feature Spaces
A. Rakotomamonjy
Maxime Vono
H. M. Ruiz
L. Ralaivola
FedML
211
13
0
26 Jan 2023
Estimation of Stationary Optimal Transport Plans
Estimation of Stationary Optimal Transport PlansInformation and Inference A Journal of the IMA (JIII), 2021
Kevin O'Connor
K. Mcgoff
A. Nobel
OT
230
3
0
25 Jul 2021
Rates of Estimation of Optimal Transport Maps using Plug-in Estimators
  via Barycentric Projections
Rates of Estimation of Optimal Transport Maps using Plug-in Estimators via Barycentric Projections
Nabarun Deb
Promit Ghosal
B. Sen
OT
378
87
0
04 Jul 2021
Some multivariate goodness of fit tests based on data depth
Some multivariate goodness of fit tests based on data depth
Rahul Singh
S. Dutta
N. Misra
78
5
0
08 May 2021
Measuring dependence between random vectors via optimal transport
Measuring dependence between random vectors via optimal transportJournal of Multivariate Analysis (J. Multivar. Anal.), 2021
Gilles Mordant
Johan Segers
OT
279
29
0
28 Apr 2021
Asymptotics of Discrete Schrödinger Bridges via Chaos Decomposition
Asymptotics of Discrete Schrödinger Bridges via Chaos Decomposition
Zaïd Harchaoui
Lang Liu
Soumik Pal
232
4
0
17 Nov 2020
Robust Bayesian Classification Using an Optimistic Score Ratio
Robust Bayesian Classification Using an Optimistic Score RatioInternational Conference on Machine Learning (ICML), 2020
Viet Anh Nguyen
Nian Si
Jose H. Blanchet
235
15
0
08 Jul 2020
Distributionally-Robust Machine Learning Using Locally
  Differentially-Private Data
Distributionally-Robust Machine Learning Using Locally Differentially-Private DataOptimization Letters (Optim. Lett.), 2020
F. Farokhi
FedMLOOD
340
11
0
24 Jun 2020
Tessellated Wasserstein Auto-Encoders
Tessellated Wasserstein Auto-Encoders
Kuo Gai
Shihua Zhang
DRL
217
1
0
20 May 2020
Hypothesis Test and Confidence Analysis with Wasserstein Distance on
  General Dimension
Hypothesis Test and Confidence Analysis with Wasserstein Distance on General DimensionNeural Computation (Neural Comput.), 2019
Masaaki Imaizumi
Hirofumi Ota
Takuo Hamaguchi
280
11
0
17 Oct 2019
Minimax Confidence Intervals for the Sliced Wasserstein Distance
Minimax Confidence Intervals for the Sliced Wasserstein DistanceElectronic Journal of Statistics (EJS), 2019
Tudor Manole
Sivaraman Balakrishnan
Larry A. Wasserman
503
45
0
17 Sep 2019
Wasserstein Distributionally Robust Optimization: Theory and
  Applications in Machine Learning
Wasserstein Distributionally Robust Optimization: Theory and Applications in Machine Learning
Daniel Kuhn
Peyman Mohajerin Esfahani
Viet Anh Nguyen
Soroosh Shafieezadeh-Abadeh
OOD
354
483
0
23 Aug 2019
Gaussian approximation for penalized Wasserstein barycenters
Gaussian approximation for penalized Wasserstein barycenters
N. Buzun
264
2
0
01 Apr 2019
Deconstructing Generative Adversarial Networks
Deconstructing Generative Adversarial Networks
Banghua Zhu
Jiantao Jiao
David Tse
656
54
0
27 Jan 2019
Statistical inference for Bures-Wasserstein barycenters
Statistical inference for Bures-Wasserstein barycenters
Alexey Kroshnin
V. Spokoiny
A. Suvorikova
276
44
0
02 Jan 2019
Asymptotic distribution and convergence rates of stochastic algorithms
  for entropic optimal transportation between probability measures
Asymptotic distribution and convergence rates of stochastic algorithms for entropic optimal transportation between probability measures
Bernard Bercu
Jérémie Bigot
462
27
0
21 Dec 2018
Empirical Regularized Optimal Transport: Statistical Theory and
  Applications
Empirical Regularized Optimal Transport: Statistical Theory and Applications
M. Klatt
Carla Tameling
Axel Munk
OT
349
67
0
23 Oct 2018
Distributionally Robust Inverse Covariance Estimation: The Wasserstein
  Shrinkage Estimator
Distributionally Robust Inverse Covariance Estimation: The Wasserstein Shrinkage Estimator
Viet Anh Nguyen
Daniel Kuhn
Peyman Mohajerin Esfahani
211
59
0
18 May 2018
Procrustes Metrics on Covariance Operators and Optimal Transportation of
  Gaussian Processes
Procrustes Metrics on Covariance Operators and Optimal Transportation of Gaussian Processes
V. Masarotto
V. Panaretos
Y. Zemel
197
74
0
06 Jan 2018
Central limit theorems for entropy-regularized optimal transport on
  finite spaces and statistical applications
Central limit theorems for entropy-regularized optimal transport on finite spaces and statistical applications
Jérémie Bigot
Elsa Cazelles
Nicolas Papadakis
OT
315
43
0
24 Nov 2017
Understanding GANs: the LQG Setting
Understanding GANs: the LQG Setting
Soheil Feizi
Changho Suh
F. Xia
David Tse
347
64
0
30 Oct 2017
A Central Limit Theorem for Wasserstein type distances between two
  different laws
A Central Limit Theorem for Wasserstein type distances between two different laws
Philippe Berthet
J. Fort
T. Klein
141
6
0
26 Oct 2017
Empirical optimal transport on countable metric spaces: Distributional
  limits and statistical applications
Empirical optimal transport on countable metric spaces: Distributional limits and statistical applications
Carla Tameling
Max Sommerfeld
Axel Munk
OT
382
67
0
04 Jul 2017
Semi-discrete optimal transport - the case p=1
Semi-discrete optimal transport - the case p=1
Valentin N. Hartmann
Dominic Schuhmacher
OT
158
9
0
23 Jun 2017
Central Limit Theorem for empirical transportation cost in general
  dimension
Central Limit Theorem for empirical transportation cost in general dimension
E. del Barrio
Jean-Michel Loubes
OT
286
114
0
03 May 2017
Construction of Non-asymptotic Confidence Sets in 2-Wasserstein Space
Construction of Non-asymptotic Confidence Sets in 2-Wasserstein Space
Johannes Ebert
V. Spokoiny
A. Suvorikova
195
20
0
10 Mar 2017
Fréchet Means and Procrustes Analysis in Wasserstein Space
Fréchet Means and Procrustes Analysis in Wasserstein Space
Y. Zemel
V. Panaretos
257
126
0
24 Jan 2017
Central limit theorem and bootstrap procedure for Wasserstein's
  variations with an application to structural relationships between
  distributions
Central limit theorem and bootstrap procedure for Wasserstein's variations with an application to structural relationships between distributions
E. del Barrio
Paula Gordaliza
H. Lescornel
Jean-Michel Loubes
325
20
0
14 Nov 2016
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