Geometric mean of probability measures and geodesics of Fisher information metric

DOI10.1002/mana.202000167arXiv1708.07211OpenAlexW2747133622MaRDI QIDQ6047325

Hiroyasu Satoh, Mitsuhiro Itoh

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07211

zbMATH Keywords

distancegeometric meangeodesicprobability measureFisher information metric

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Spaces of measures (46E27) Operator means involving linear operators, shorted linear operators, etc. (47A64) Differential geometric aspects of statistical manifolds and information geometry (53B12)

Cites Work

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• Die Fisher-Information und symplektische Strukturen
• Information geometry of the space of probability measures and barycenter maps
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