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- W2764259745 abstract "This paper explores some applications of a two-moment inequality for the integral of the $r$-th power of a function, where $0 < r< 1$. The first contribution is an upper bound on the R'{e}nyi entropy of a random vector in terms of the two different moments. When one of the moments is the zeroth moment, these bounds recover previous results based on maximum entropy distributions under a single moment constraint. More generally, evaluation of the bound with two carefully chosen nonzero moments can lead to significant improvements with a modest increase in complexity. The second contribution is a method for upper bounding mutual information in terms of certain integrals with respect to the variance of the conditional density. The bounds have a number of useful properties arising from the connection with variance decompositions." @default.
- W2764259745 created "2017-10-20" @default.
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- W2764259745 date "2017-02-23" @default.
- W2764259745 modified "2023-09-27" @default.
- W2764259745 title "Two-Moment Inequalities for R'enyi Entropy and Mutual Information" @default.
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- W2764259745 hasPublicationYear "2017" @default.
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