Statistical inference for Bures-Wasserstein barycenters

DOI10.1214/20-AAP1618zbMath1476.60051arXiv1901.00226MaRDI QIDQ2240849

Alexandra Suvorikova, Alexey Kroshnin, Vladimir Spokoiny

Publication date: 4 November 2021

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.00226

zbMATH Keywords

central limit theoremconcentrationWasserstein barycenterHermitian operatorsBures-Wasserstein barycenter

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Optimal transportation (49Q22)

Related Items (7)

Stochastic approximation versus sample average approximation for Wasserstein barycenters ⋮ Randomized Wasserstein Barycenter Computation: Resampling with Statistical Guarantees ⋮ Stochastic saddle-point optimization for the Wasserstein barycenter problem ⋮ Convergence rates for empirical barycenters in metric spaces: curvature, convexity and extendable geodesics ⋮ Estimation of Wasserstein distances in the spiked transport model ⋮ Fast convergence of empirical barycenters in Alexandrov spaces and the Wasserstein space ⋮ Entropic-Wasserstein Barycenters: PDE Characterization, Regularity, and CLT

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