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A generalization of the Kullback–Leibler divergence and its properties

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Publication:3650512
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DOI10.1063/1.3116115zbMath1214.94035arXiv0902.1898OpenAlexW3099627780MaRDI QIDQ3650512

Takuya Yamano

Publication date: 14 December 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.1898


zbMATH Keywords

entropystabilitystatistical distributions


Mathematics Subject Classification ID

Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10)


Related Items (4)

Conditions for the existence of a generalization of Rényi divergence ⋮ Nonnegative Matrix Factorization and Log-Determinant Divergences ⋮ H-theorems based upon a generalized, power law-like divergence ⋮ Image segmentation using level set driven by generalized divergence



Cites Work

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  • A note on the \(q\)-deformation-theoretic aspect of the generalized entropies in nonextensive physics
  • The role of relative entropy in quantum information theory
  • Introduction to Nonextensive Statistical Mechanics
  • Erratum: “Information gain within generalized thermostatistics” [J. Math. Phys. 39, 6490 (1998)]
  • On Information and Sufficiency


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