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

DOI10.4171/jems/1234arXiv1908.00828OpenAlexW4281255328MaRDI QIDQ6172676

Philippe Rigollet, Thibaut Le Gouic, Austin J. Stromme, Quentin Paris

Publication date: 20 July 2023

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.00828

zbMATH Keywords

rates of convergenceAlexandrov spacesWasserstein barycenters

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Metric geometry (51F99)

Related Items (5)

Stochastic approximation versus sample average approximation for Wasserstein barycenters ⋮ Randomized Wasserstein Barycenter Computation: Resampling with Statistical Guarantees ⋮ An entropic generalization of Caffarelli's contraction theorem via covariance inequalities ⋮ Statistical Analysis of Random Objects Via Metric Measure Laplacians ⋮ Quantitative stability of barycenters in the Wasserstein space

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