Equivalence of Additive-Combinatorial Linear Inequalities for Shannon Entropy and Differential Entropy.
IEEE Transactions on Information Theory(2018)
摘要
This paper addresses the correspondence between linear inequalities for Shannon entropy and differential entropy for sums of independent group-valued random variables. We show that any balanced (with the sum of coefficients being zero) linear inequality for Shannon entropy holds if and only if its differential entropy counterpart also holds; moreover, any linear inequality for differential entropy...
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关键词
Entropy,Random variables,Additives,Tools,Electronic mail,Probability density function,Data processing
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