On the \(f\)-divergences between hyperboloid and Poincaré distributions

DOI10.1007/978-3-031-38271-0_18OpenAlexW4385435017MaRDI QIDQ6178839

Frank Nielsen, Kazuki Okamura

Publication date: 16 January 2024

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-38271-0_18

zbMATH Keywords

group actionexponential familymaximal invarianthyperbolic distributionsCsiszár's \(f\)-divergence

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Differential geometric aspects of statistical manifolds and information geometry (53B12) Information geometry (statistical aspects) (62B11)

Cites Work

• Harmonic exponential families on homogeneous spaces
• Lie group machine learning and Gibbs density on Poincaré unit disk from Souriau Lie groups thermodynamics and \(\mathrm{SU}(1,1)\) coadjoint orbits
• Information and Exponential Families
• Low Distortion Delaunay Embedding of Trees in Hyperbolic Plane
• The Two-Dimensional Hyperbolic Distribution and Related Distributions, with an Application to Johannsen's Bean Data
• An Exponential Family on the Upper Half Plane and Its Conjugate Prior
• On f-Divergences Between Cauchy Distributions
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