Entropy, Relative Entropy, and Mutual Information
Thomas M. Cover, Joy A. Thomas
Abstract
Thomas M. Cover, Joy A. Thomas
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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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)