Towards a central limit theorem in the Wasserstein space?

DOI10.1016/j.crma.2017.05.010zbMath1388.60061OpenAlexW2608380376MaRDI QIDQ2012352

Guillaume Carlier, Martial Agueh

Publication date: 31 July 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2017.05.010

zbMATH Keywords

central limit theoremprobability measuresWasserstein barycenters

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Central limit and other weak theorems (60F05)

Related Items (5)

Randomized Wasserstein Barycenter Computation: Resampling with Statistical Guarantees ⋮ Fast convergence of empirical barycenters in Alexandrov spaces and the Wasserstein space ⋮ Statistical inference for Bures-Wasserstein barycenters ⋮ Entropic-Wasserstein Barycenters: PDE Characterization, Regularity, and CLT ⋮ Penalization of Barycenters in the Wasserstein Space

Cites Work

• Wasserstein barycenters over Riemannian manifolds
• A convexity principle for interacting gases
• Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
• Barycenters in the Wasserstein Space
• Polar factorization and monotone rearrangement of vector‐valued functions
• Iterative Bregman Projections for Regularized Transportation Problems
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