Dually flat geometries of the deformed exponential family

DOI10.1016/j.physa.2015.03.023zbMath1400.60009OpenAlexW2066922016MaRDI QIDQ1618530

K. S. Subrahamanian Moosath, K. V. Harsha

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2015.03.023

zbMATH Keywords

escort probability\((F, G)\)-geometry\(\alpha\)-geometryconformal flatteningdeformed exponential family

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Probability theory on algebraic and topological structures (60B99)

Related Items (4)

Deformed algebras and generalizations of independence on deformed exponential families ⋮ Towards an information geometric characterization/classification of complex systems. I: Use of generalized entropies ⋮ From Complexity to Information Geometry and Beyond ⋮ Some information inequalities for statistical inference

Cites Work

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• Conformal-Projective Geometry of Statistical Manifolds
• Divergence Function, Duality, and Convex Analysis
• Information Geometry of U-Boost and Bregman Divergence
• Hessian Structures on Deformed Exponential Families

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