p-Wasserstein barycenters

2024/05/15 by Camilla Brizzi, Gero Friesecke, Brizzi, Camilla +3 · 2 citations
Mathematics · #49K21 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #Primary 49Q20 #Probability (math.PR) #Secondary 49J40

paper · pdf · doi:10.48550/arxiv.2405.09381

openalex publication_date 2024/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study barycenters of N probability measures on ℝ^d with respect to the p-Wasserstein metric (1

Cited by

• A Benamou-Brenier formulation for the multi-marginal optimal transport problem with infimal convolution cost
• Robust Barycenters of Persistence Diagrams

Related

• Wasserstein Barycenters over Riemannian manifolds
• Existence and Consistency of Wasserstein Barycenters
• A canonical barycenter via Wasserstein regularization
• Generalized Wasserstein Barycenters
• Characterization of barycenters in the Wasserstein space by averaging optimal transport maps