Fisher-Riemann geometry for nonparametric probability densities

2024/02/16 by Hugo Aimar, Aimar, Hugo, Aníbal Chicco Ruiz +3
Mathematics · #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Morphological variations and asymmetry #Point processes and geometric inequalities #Probability and Statistical Research

paper · pdf · doi:10.48550/arxiv.2402.11071

openalex publication_date 2024/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we aim to obtain the Fisher Riemann geodesics for nonparametric families of probability densities as a weak limit of the parametric case with increasing number of parameters.

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