Information geometry of the space of probability measures and barycenter maps

Autor:	Hiroyasu Satoh, Mitsuhiro Itoh
Rok vydání:	2021
Předmět:	Mathematics - Differential Geometry Differential Geometry (math.DG) FOS: Mathematics Primary 46E27 Secondary 58B20 53B21 Information geometry Space (mathematics) Algorithm Probability measure Mathematics
Zdroj:	Sugaku Expositions. 34:231-253
ISSN:	2473-585X 0898-9583
Popis:	In this article, we present recent developments of information geometry, namely, geometry of the Fisher metric, dualistic structures and divergences on the space of probability measures, particularly the theory of geodesics of the Fisher metric. Moreover, we consider several facts concerning the barycenter of probability measures on the ideal boundary of a Hadamard manifold from a viewpoint of the information geometry. Comment: 23 pages, 1 figure
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::14b18171c5864db671aa37defa73e2e5 https://doi.org/10.1090/suga/464 Zobrazit plný text záznamu