A smooth variational principle on Wasserstein space

2022/09/29 by Erhan Bayraktar, Bayraktar, Erhan, Ibrahim Ekren +3 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #58E30 #90C05 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Hidradenitis Suppurativa and Treatments #Inflammasome and immune disorders #Optimization and Control (math.OC) #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2209.15028

openalex publication_date 2022/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we provide a smooth variational principle on Wasserstein space by constructing a smooth gauge-type function using the sliced Wasserstein distance. This function is a crucial tool for optimization problems and in viscosity theory of PDEs on Wasserstein space.

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