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Convergence and Concentration of Empirical Measures under Wasserstein
  Distance in Unbounded Functional Spaces

Convergence and Concentration of Empirical Measures under Wasserstein Distance in Unbounded Functional Spaces

27 April 2018
Jing Lei
ArXivPDFHTML

Papers citing "Convergence and Concentration of Empirical Measures under Wasserstein Distance in Unbounded Functional Spaces"

50 / 78 papers shown
Title
To Switch or Not to Switch? Balanced Policy Switching in Offline Reinforcement Learning
To Switch or Not to Switch? Balanced Policy Switching in Offline Reinforcement Learning
Tao Ma
Xuzhi Yang
Zoltan Szabo
OffRL
70
0
0
01 Jul 2024
Robust Distribution Learning with Local and Global Adversarial
  Corruptions
Robust Distribution Learning with Local and Global Adversarial Corruptions
Sloan Nietert
Ziv Goldfeld
Soroosh Shafiee
OOD
36
0
0
10 Jun 2024
Statistical inference of convex order by Wasserstein projection
Statistical inference of convex order by Wasserstein projection
Jakwang Kim
Young-Heon Kim
Yuanlong Ruan
Andrew Warren
39
2
0
05 Jun 2024
Max-sliced Wasserstein concentration and uniform ratio bounds of
  empirical measures on RKHS
Max-sliced Wasserstein concentration and uniform ratio bounds of empirical measures on RKHS
Ruiyu Han
Cynthia Rush
Johannes Wiesel
28
0
0
21 May 2024
Convergence of the Adapted Smoothed Empirical Measures
Convergence of the Adapted Smoothed Empirical Measures
Songyan Hou
24
3
0
26 Jan 2024
Outlier-Robust Wasserstein DRO
Outlier-Robust Wasserstein DRO
Sloan Nietert
Ziv Goldfeld
Soroosh Shafiee
36
9
0
09 Nov 2023
Sample Complexity Bounds for Estimating Probability Divergences under
  Invariances
Sample Complexity Bounds for Estimating Probability Divergences under Invariances
B. Tahmasebi
Stefanie Jegelka
54
6
0
06 Nov 2023
Bridging Distributionally Robust Learning and Offline RL: An Approach to
  Mitigate Distribution Shift and Partial Data Coverage
Bridging Distributionally Robust Learning and Offline RL: An Approach to Mitigate Distribution Shift and Partial Data Coverage
Kishan Panaganti
Zaiyan Xu
D. Kalathil
Mohammad Ghavamzadeh
OOD
OffRL
34
6
0
27 Oct 2023
Uniform Confidence Band for Optimal Transport Map on One-Dimensional
  Data
Uniform Confidence Band for Optimal Transport Map on One-Dimensional Data
Donlapark Ponnoprat
Ryotaro Okano
Masaaki Imaizumi
OT
26
1
0
18 Jul 2023
Convergence of Empirical Optimal Transport in Unbounded Settings
Convergence of Empirical Optimal Transport in Unbounded Settings
Thomas Staudt
Shayan Hundrieser
OT
21
4
0
20 Jun 2023
A Framework for Fast and Stable Representations of Multiparameter
  Persistent Homology Decompositions
A Framework for Fast and Stable Representations of Multiparameter Persistent Homology Decompositions
David Loiseaux
Mathieu Carrière
Andrew J. Blumberg
69
10
0
19 Jun 2023
On concentration of the empirical measure for radial transport costs
On concentration of the empirical measure for radial transport costs
Martin Larsson
Jonghwa Park
Johannes Wiesel
OT
10
1
0
29 May 2023
Provably Fast Finite Particle Variants of SVGD via Virtual Particle
  Stochastic Approximation
Provably Fast Finite Particle Variants of SVGD via Virtual Particle Stochastic Approximation
Aniket Das
Dheeraj M. Nagaraj
41
7
0
27 May 2023
Towards Understanding the Dynamics of Gaussian-Stein Variational
  Gradient Descent
Towards Understanding the Dynamics of Gaussian-Stein Variational Gradient Descent
Tianle Liu
Promit Ghosal
Krishnakumar Balasubramanian
Natesh S. Pillai
36
9
0
23 May 2023
Scalable Optimal Transport Methods in Machine Learning: A Contemporary
  Survey
Scalable Optimal Transport Methods in Machine Learning: A Contemporary Survey
Abdelwahed Khamis
Russell Tsuchida
Mohamed Tarek
V. Rolland
Lars Petersson
OT
45
13
0
08 May 2023
On the Concentration of the Minimizers of Empirical Risks
On the Concentration of the Minimizers of Empirical Risks
Paul Escande
31
2
0
03 Apr 2023
Robust Estimation under the Wasserstein Distance
Robust Estimation under the Wasserstein Distance
Sloan Nietert
Rachel Cummings
Ziv Goldfeld
36
4
0
02 Feb 2023
A Finite-Particle Convergence Rate for Stein Variational Gradient
  Descent
A Finite-Particle Convergence Rate for Stein Variational Gradient Descent
Jiaxin Shi
Lester W. Mackey
28
18
0
17 Nov 2022
The out-of-sample prediction error of the square-root-LASSO and related
  estimators
The out-of-sample prediction error of the square-root-LASSO and related estimators
J. M. Olea
Cynthia Rush
Amilcar Velez
J. Wiesel
OOD
43
6
0
14 Nov 2022
Convergence of the empirical measure in expected Wasserstein distance:
  non asymptotic explicit bounds in $\mathbb{R}^d$
Convergence of the empirical measure in expected Wasserstein distance: non asymptotic explicit bounds in Rd\mathbb{R}^dRd
N. Fournier
11
16
0
02 Sep 2022
Nonlinear Sufficient Dimension Reduction for
  Distribution-on-Distribution Regression
Nonlinear Sufficient Dimension Reduction for Distribution-on-Distribution Regression
Q. Zhang
Bing Li
Lingzhou Xue
38
12
0
11 Jul 2022
Shedding a PAC-Bayesian Light on Adaptive Sliced-Wasserstein Distances
Shedding a PAC-Bayesian Light on Adaptive Sliced-Wasserstein Distances
Ruben Ohana
Kimia Nadjahi
A. Rakotomamonjy
L. Ralaivola
13
6
0
07 Jun 2022
Central limit theorem for the Sliced 1-Wasserstein distance and the
  max-Sliced 1-Wasserstein distance
Central limit theorem for the Sliced 1-Wasserstein distance and the max-Sliced 1-Wasserstein distance
Xianliang Xu
Zhongyi Huang
19
4
0
29 May 2022
Strong posterior contraction rates via Wasserstein dynamics
Strong posterior contraction rates via Wasserstein dynamics
Emanuele Dolera
Stefano Favaro
E. Mainini
17
2
0
21 Mar 2022
Limit distribution theory for smooth $p$-Wasserstein distances
Limit distribution theory for smooth ppp-Wasserstein distances
Ziv Goldfeld
Kengo Kato
Sloan Nietert
Gabriel Rioux
16
15
0
01 Mar 2022
Entropy Regularized Optimal Transport Independence Criterion
Entropy Regularized Optimal Transport Independence Criterion
Lang Liu
Soumik Pal
Zaïd Harchaoui
OT
15
13
0
31 Dec 2021
Bounding Wasserstein distance with couplings
Bounding Wasserstein distance with couplings
N. Biswas
Lester W. Mackey
30
8
0
06 Dec 2021
Online Estimation and Optimization of Utility-Based Shortfall Risk
Online Estimation and Optimization of Utility-Based Shortfall Risk
Vishwajit Hegde
Arvind S. Menon
L. A. Prashanth
Krishna Jagannathan
24
2
0
16 Nov 2021
Statistical Regeneration Guarantees of the Wasserstein Autoencoder with
  Latent Space Consistency
Statistical Regeneration Guarantees of the Wasserstein Autoencoder with Latent Space Consistency
A. Chakrabarty
Swagatam Das
DRL
22
6
0
08 Oct 2021
Dimension Reduction for Fréchet Regression
Dimension Reduction for Fréchet Regression
Q. Zhang
Lingzhou Xue
Bing Li
29
12
0
01 Oct 2021
Wasserstein Generative Adversarial Uncertainty Quantification in
  Physics-Informed Neural Networks
Wasserstein Generative Adversarial Uncertainty Quantification in Physics-Informed Neural Networks
Yihang Gao
Michael K. Ng
38
28
0
30 Aug 2021
Limit Distribution Theory for the Smooth 1-Wasserstein Distance with
  Applications
Limit Distribution Theory for the Smooth 1-Wasserstein Distance with Applications
Ritwik Sadhu
Ziv Goldfeld
Kengo Kato
21
8
0
28 Jul 2021
Plugin Estimation of Smooth Optimal Transport Maps
Plugin Estimation of Smooth Optimal Transport Maps
Tudor Manole
Sivaraman Balakrishnan
Jonathan Niles-Weed
Larry A. Wasserman
OT
28
92
0
26 Jul 2021
Sharp Convergence Rates for Empirical Optimal Transport with Smooth
  Costs
Sharp Convergence Rates for Empirical Optimal Transport with Smooth Costs
Tudor Manole
Jonathan Niles-Weed
OT
62
38
0
24 Jun 2021
Costs and Benefits of Fair Regression
Costs and Benefits of Fair Regression
Han Zhao
FaML
16
8
0
16 Jun 2021
Estimation and Quantization of Expected Persistence Diagrams
Estimation and Quantization of Expected Persistence Diagrams
Vincent Divol
Théo Lacombe
8
9
0
11 May 2021
Transport Dependency: Optimal Transport Based Dependency Measures
Transport Dependency: Optimal Transport Based Dependency Measures
T. Nies
Thomas Staudt
Axel Munk
OT
27
20
0
05 May 2021
Measuring dependence between random vectors via optimal transport
Measuring dependence between random vectors via optimal transport
Gilles Mordant
Johan Segers
OT
11
24
0
28 Apr 2021
Convergence of Gaussian-smoothed optimal transport distance with
  sub-gamma distributions and dependent samples
Convergence of Gaussian-smoothed optimal transport distance with sub-gamma distributions and dependent samples
Yixing Zhang
Xiuyuan Cheng
Galen Reeves
OT
21
10
0
28 Feb 2021
Measure estimation on manifolds: an optimal transport approach
Measure estimation on manifolds: an optimal transport approach
Vincent Divol
OT
11
21
0
15 Feb 2021
Two-sample Test with Kernel Projected Wasserstein Distance
Two-sample Test with Kernel Projected Wasserstein Distance
Jie Wang
Rui Gao
Yao Xie
24
19
0
12 Feb 2021
Functional optimal transport: map estimation and domain adaptation for
  functional data
Functional optimal transport: map estimation and domain adaptation for functional data
Jiacheng Zhu
Aritra Guha
Dat Do
Mengdi Xu
X. Nguyen
Ding Zhao
OT
37
7
0
07 Feb 2021
On the capacity of deep generative networks for approximating
  distributions
On the capacity of deep generative networks for approximating distributions
Yunfei Yang
Zhen Li
Yang Wang
17
28
0
29 Jan 2021
Convergence Rates for Empirical Measures of Markov Chains in Dual and
  Wasserstein Distances
Convergence Rates for Empirical Measures of Markov Chains in Dual and Wasserstein Distances
Adrian Riekert
16
4
0
18 Jan 2021
Smooth $p$-Wasserstein Distance: Structure, Empirical Approximation, and
  Statistical Applications
Smooth ppp-Wasserstein Distance: Structure, Empirical Approximation, and Statistical Applications
Sloan Nietert
Ziv Goldfeld
Kengo Kato
39
30
0
11 Jan 2021
Continuity of Generalized Entropy and Statistical Learning
Continuity of Generalized Entropy and Statistical Learning
Aolin Xu
17
6
0
31 Dec 2020
Entropy-regularized optimal transport on multivariate normal and
  q-normal distributions
Entropy-regularized optimal transport on multivariate normal and q-normal distributions
Qijun Tong
Kei Kobayashi
OT
21
7
0
19 Dec 2020
Nonparametric Two-Sample Hypothesis Testing for Random Graphs with
  Negative and Repeated Eigenvalues
Nonparametric Two-Sample Hypothesis Testing for Random Graphs with Negative and Repeated Eigenvalues
Joshua Agterberg
M. Tang
Carey Priebe
21
15
0
17 Dec 2020
Randomised Wasserstein Barycenter Computation: Resampling with
  Statistical Guarantees
Randomised Wasserstein Barycenter Computation: Resampling with Statistical Guarantees
F. Heinemann
Axel Munk
Y. Zemel
11
17
0
11 Dec 2020
A Riemannian Block Coordinate Descent Method for Computing the
  Projection Robust Wasserstein Distance
A Riemannian Block Coordinate Descent Method for Computing the Projection Robust Wasserstein Distance
Minhui Huang
Shiqian Ma
Lifeng Lai
23
42
0
09 Dec 2020
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