ResearchTrend.AI
  • Communities
  • Connect sessions
  • AI calendar
  • Organizations
  • Join Slack
  • Contact Sales
Papers
Communities
Social Events
Terms and Conditions
Pricing
Contact Sales
Parameter LabParameter LabTwitterGitHubLinkedInBlueskyYoutube

© 2026 ResearchTrend.AI, All rights reserved.

  1. Home
  2. Papers
  3. 1908.00828
  4. Cited By
Fast convergence of empirical barycenters in Alexandrov spaces and the
  Wasserstein space
v1v2v3v4 (latest)

Fast convergence of empirical barycenters in Alexandrov spaces and the Wasserstein space

2 August 2019
Thibaut Le Gouic
Q. Paris
Philippe Rigollet
Austin J. Stromme
ArXiv (abs)PDFHTML

Papers citing "Fast convergence of empirical barycenters in Alexandrov spaces and the Wasserstein space"

34 / 34 papers shown
DFNN: A Deep Fréchet Neural Network Framework for Learning Metric-Space-Valued Responses
DFNN: A Deep Fréchet Neural Network Framework for Learning Metric-Space-Valued Responses
Kyum Kim
Yaqing Chen
Paromita Dubey
138
1
0
20 Oct 2025
Mean-square and linear convergence of a stochastic proximal point algorithm in metric spaces of nonpositive curvature
Mean-square and linear convergence of a stochastic proximal point algorithm in metric spaces of nonpositive curvature
Nicholas Pischke
98
1
0
12 Oct 2025
Robust Estimation in metric spaces: Achieving Exponential Concentration with a Fréchet Median
Robust Estimation in metric spaces: Achieving Exponential Concentration with a Fréchet MedianInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2025
Jakwang Kim
Jiyoung Park
Anirban Bhattacharya
215
3
0
19 Apr 2025
Distributional Matrix Completion via Nearest Neighbors in the Wasserstein Space
Distributional Matrix Completion via Nearest Neighbors in the Wasserstein Space
Jacob Feitelberg
Kyuseong Choi
Anish Agarwal
Raaz Dwivedi
OffRL
346
2
0
17 Oct 2024
Large Deviations Principle for Bures-Wasserstein Barycenters
Large Deviations Principle for Bures-Wasserstein Barycenters
Adam Quinn Jaffe
Leonardo P. M. Santoro
316
1
0
17 Sep 2024
A Lower Bound for Estimating Fréchet Means
A Lower Bound for Estimating Fréchet Means
Shayan Hundrieser
B. Eltzner
S. Huckemann
176
2
0
19 Feb 2024
Structure-Aware E(3)-Invariant Molecular Conformer Aggregation Networks
Structure-Aware E(3)-Invariant Molecular Conformer Aggregation Networks
D. M. Nguyen
Nina Lukashina
Tai Nguyen
An T. Le
TrungTin Nguyen
Nhat Ho
Jan Peters
Daniel Sonntag
Viktor Zaverkin
Mathias Niepert
219
8
0
03 Feb 2024
Convex generalized Fréchet means in a metric tree
Convex generalized Fréchet means in a metric tree
Gabriel Romon
Victor-Emmanuel Brunel
182
5
0
26 Oct 2023
Variance Inequalities for Transformed Fréchet Means in Hadamard Spaces
Variance Inequalities for Transformed Fréchet Means in Hadamard Spaces
Christof Schötz
280
5
0
20 Oct 2023
Distribution-on-Distribution Regression with Wasserstein Metric:
  Multivariate Gaussian Case
Distribution-on-Distribution Regression with Wasserstein Metric: Multivariate Gaussian CaseJournal of Multivariate Analysis (J. Multivar. Anal.), 2023
Ryotaro Okano
Masaaki Imaizumi
323
8
0
12 Jul 2023
Robust Signal Recovery in Hadamard Spaces
Robust Signal Recovery in Hadamard SpacesJournal of Multivariate Analysis (J. Multivar. Anal.), 2023
Georg Kostenberger
Thomas Stark
216
2
0
12 Jul 2023
Large Sample Theory for Bures-Wasserstein Barycentres
Large Sample Theory for Bures-Wasserstein BarycentresThe Annals of Applied Probability (Ann. Appl. Probab.), 2023
Leonardo P. M. Santoro
V. Panaretos
222
3
0
24 May 2023
Geodesically convex $M$-estimation in metric spaces
Geodesically convex MMM-estimation in metric spacesAnnual Conference Computational Learning Theory (COLT), 2023
Victor-Emmanuel Brunel
235
4
0
05 May 2023
On the Concentration of the Minimizers of Empirical Risks
On the Concentration of the Minimizers of Empirical RisksJournal of machine learning research (JMLR), 2023
Paul Escande
355
4
0
03 Apr 2023
Doubly Regularized Entropic Wasserstein Barycenters
Doubly Regularized Entropic Wasserstein Barycenters
Lénaïc Chizat
321
16
0
21 Mar 2023
Concentration of empirical barycenters in metric spaces
Concentration of empirical barycenters in metric spacesInternational Conference on Algorithmic Learning Theory (ALT), 2023
Victor-Emmanuel Brunel
Jordan Serres
252
8
0
02 Mar 2023
Statistical properties of approximate geometric quantiles in
  infinite-dimensional Banach spaces
Statistical properties of approximate geometric quantiles in infinite-dimensional Banach spaces
Gabriel Romon
314
3
0
31 Oct 2022
Quantitative Stability of Barycenters in the Wasserstein Space
Quantitative Stability of Barycenters in the Wasserstein SpaceProbability theory and related fields (PTRF), 2022
G. Carlier
Alex Delalande
Q. Mérigot
231
16
0
21 Sep 2022
Approximating Persistent Homology for Large Datasets
Approximating Persistent Homology for Large Datasets
Yueqi Cao
Anthea Monod
228
13
0
19 Apr 2022
Statistical analysis of random objects via metric measure Laplacians
Statistical analysis of random objects via metric measure LaplaciansSIAM Journal on Mathematics of Data Science (SIMODS), 2022
Gilles Mordant
Axel Munk
95
1
0
13 Apr 2022
Wasserstein Distributionally Robust Optimization with Wasserstein
  Barycenters
Wasserstein Distributionally Robust Optimization with Wasserstein Barycenters
Tim Tsz-Kit Lau
Han Liu
OOD
344
3
0
23 Mar 2022
An entropic generalization of Caffarelli's contraction theorem via
  covariance inequalities
An entropic generalization of Caffarelli's contraction theorem via covariance inequalitiesComptes rendus. Mathematique (C. R. Math.), 2022
Sinho Chewi
Aram-Alexandre Pooladian
176
48
0
09 Mar 2022
Averaging on the Bures-Wasserstein manifold: dimension-free convergence
  of gradient descent
Averaging on the Bures-Wasserstein manifold: dimension-free convergence of gradient descent
Jason M. Altschuler
Sinho Chewi
P. Gerber
Austin J. Stromme
373
48
0
16 Jun 2021
Sampling From the Wasserstein Barycenter
Sampling From the Wasserstein Barycenter
Chiheb Daaloul
Thibaut Le Gouic
J. Liandrat
M. I. O. Technology
191
6
0
04 May 2021
Online learning with exponential weights in metric spaces
Online learning with exponential weights in metric spaces
Q. Paris
376
4
0
26 Mar 2021
Statistical Inference on the Hilbert Sphere with Application to Random
  Densities
Statistical Inference on the Hilbert Sphere with Application to Random DensitiesElectronic Journal of Statistics (EJS), 2021
Xiongtao Dai
159
17
0
02 Jan 2021
Nonparametric Regression in Nonstandard Spaces
Nonparametric Regression in Nonstandard Spaces
Christof Schötz
147
10
0
24 Dec 2020
Randomised Wasserstein Barycenter Computation: Resampling with
  Statistical Guarantees
Randomised Wasserstein Barycenter Computation: Resampling with Statistical Guarantees
F. Heinemann
Axel Munk
Y. Zemel
206
19
0
11 Dec 2020
Projection to Fairness in Statistical Learning
Projection to Fairness in Statistical Learning
Thibaut Le Gouic
Jean-Michel Loubes
Philippe Rigollet
242
3
0
24 May 2020
The exponentially weighted average forecaster in geodesic spaces of
  non-positive curvature
The exponentially weighted average forecaster in geodesic spaces of non-positive curvature
Q. Paris
246
1
0
03 Feb 2020
Stochastic Approximation versus Sample Average Approximation for
  population Wasserstein barycenters
Stochastic Approximation versus Sample Average Approximation for population Wasserstein barycenters
D. Dvinskikh
335
11
0
21 Jan 2020
Gradient descent algorithms for Bures-Wasserstein barycenters
Gradient descent algorithms for Bures-Wasserstein barycentersAnnual Conference Computational Learning Theory (COLT), 2020
Sinho Chewi
Tyler Maunu
Philippe Rigollet
Austin J. Stromme
305
96
0
06 Jan 2020
Estimation of Wasserstein distances in the Spiked Transport Model
Estimation of Wasserstein distances in the Spiked Transport ModelBernoulli (Bernoulli), 2019
Jonathan Niles-Weed
Philippe Rigollet
202
112
0
16 Sep 2019
Statistical inference for Bures-Wasserstein barycenters
Statistical inference for Bures-Wasserstein barycenters
Alexey Kroshnin
V. Spokoiny
A. Suvorikova
188
42
0
02 Jan 2019
1
Page 1 of 1