Reversal of Rényi Entropy Inequalities Under Log-Concavity
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DOI: 10.1109/tit.2020.3024025
Abstract: We establish a discrete analog of the Rényi entropy comparison due to Bobkov and Madiman. For log-concave variables on the integers, the min entropy is within $\log e$ of the usual Shannon entropy. Additionally we… read more here.
Keywords: log concavity; inequalities log; entropy; entropy inequalities ... See more keywords
Entropy Inequalities for Lattices
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DOI: 10.20944/preprints201809.0035.v2
Abstract: We study the existence or absence of non-Shannon inequalities for variables that are related by functional dependencies. Although the power-set on four variables is the smallest Boolean lattice with non-Shannon inequalities there exist lattices with… read more here.
Keywords: entropy inequalities; non shannon; shannon inequalities; inequalities lattices ... See more keywords