2005Unpublished venueRequires access

Entropy, Relative Entropy, and Mutual Information

Thomas M. Cover, Joy A. Thomas

Open publisher page 125 citations

Abstract

This chapter contains sections titled: Entropy Joint Entropy and Conditional Entropy Relative Entropy and Mutual Information Relationship Between Entropy and Mutual Information Chain Rules for Entropy, Relative Entropy, and Mutual Information Jensen's Inequality and Its Consequences Log Sum Inequality and Its Applications Data-Processing Inequality Sufficient Statistics Fano's Inequality Summary Problems Historical Notes

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What this paper is about

This chapter contains sections titled: Entropy Joint Entropy and Conditional Entropy Relative Entropy and Mutual Information Relationship Between Entropy and Mutual Information Chain Rules for Entropy, Relative Entropy, and Mutual Information Jensen's Inequality and Its Consequences Log Sum Inequality and Its Applications Data-Processing Inequality Sufficient Statistics Fano's Inequality Summary Problems Historical Notes

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OpenAlex reports 125 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This chapter contains sections titled: Entropy Joint Entropy and Conditional Entropy Relative Entropy and Mutual Information Relationship Between Entropy and Mutual Information Chain Rules for Entropy, Relative Entropy, and Mutual Information Jensen's Inequality and Its Consequences Log Sum Inequality and Its Applications Data-Processing Inequality Sufficient Statistics Fano's Inequality Summary Problems Historical Notes

Key concepts: Joint entropy, Generalized relative entropy, Joint quantum entropy, Mathematics, Mutual information, Conditional entropy, Quantum relative entropy, Entropy (arrow of time)

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