An integral representation of the relative entropy

DOI10.3390/e14081469zbMath1314.94028OpenAlexW2028844795MaRDI QIDQ406130

Hiroaki Yoshida, Aya Nemoto, Miku Hirata

Publication date: 8 September 2014

Published in: Entropy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/e14081469

zbMATH Keywords

relative entropylogarithmic Sobolev inequalityStam inequalityrelative Fisher informationde Bruijn identity

Mathematics Subject Classification ID

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

Related Items (2)

Hellmann-Feynman connection for the relative Fisher information ⋮ Legendre transform structure and extremal properties of the relative Fisher information

Cites Work

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• Some inequalities satisfied by the quantities of information of Fisher and Shannon
• Mutual Information and Minimum Mean-Square Error in Gaussian Channels
• Generalized Entropy Power Inequalities and Monotonicity Properties of Information
• Information theoretic inequalities
• Logarithmic Sobolev Inequalities
• A short proof of the "concavity of entropy power"
• Mismatched Estimation and Relative Entropy
• The convolution inequality for entropy powers

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