Fr\'echet barycenters in the Monge-Kantorovich spaces

zbMath1497.60004arXiv1702.05740MaRDI QIDQ4557945

Alexey Kroshnin

Publication date: 27 November 2018

Full work available at URL: https://arxiv.org/abs/1702.05740

zbMATH Keywords

law of large numbersoptimal transportWasserstein spaceWasserstein barycenter

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Probability distributions: general theory (60E05) Special maps on metric spaces (54E40) Set functions and measures on spaces with additional structure (28C99) Optimal transportation (49Q22)

Related Items (3)

Elements of Statistical Inference in 2-Wasserstein Space ⋮ Statistical inference for Bures-Wasserstein barycenters ⋮ Entropic-Wasserstein Barycenters: PDE Characterization, Regularity, and CLT

Cites Work

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• Regularized barycenters in the Wasserstein space
• Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
• Existence and consistency of Wasserstein barycenters
• Barycenters in the Wasserstein Space
• Optimal Transport

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