Rho-tau embedding and gauge freedom in information geometry

DOI10.1007/s41884-018-0004-6zbMath1427.62007OpenAlexW2888193396MaRDI QIDQ1713652

Jan Naudts, Jun Zhang

Publication date: 28 January 2019

Published in: Information Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41884-018-0004-6

zbMATH Keywords

escort distributionrho-tau embeddingGauge freedomhessian metricphi-embeddingphi-exponential modelrho-tau cross-entropyrho-tau divergencerho-tau metricU cross-entropyU-embedding

Mathematics Subject Classification ID

Linear and affine connections (53B05) Sufficiency and information (62B99)

Related Items (9)

Universality classes for the Fisher metric derived from relative group entropy ⋮ Conditions for the existence of a generalization of Rényi divergence ⋮ When optimal transport meets information geometry ⋮ Optimal transportation plans with escort entropy regularization ⋮ Legendre duality: from thermodynamics to information geometry ⋮ Logarithmic divergences from optimal transport and Rényi geometry ⋮ On Normalization Functions and $$\varphi $$-Families of Probability Distributions ⋮ Gauge Freedom of Entropies on q-Gaussian Measures ⋮ Statistical mirror symmetry

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