154 citations · 1.3k across the 48 of their papers we have counts for
Showing 2015 · cs.ITShow all
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cs.IT2015★ 7 cited
Entropies of weighted sums in cyclic groups and an application to polar codes
Emmanuel Abbe, Jiange Li, Mokshay Madiman
In this note, the following basic question is explored: in a cyclic group, how are the Shannon entropies of the sum and difference of i.i.d. random variables related to each other?…
cs.IT2015★ 42 cited
Entropy bounds on abelian groups and the Ruzsa divergence
Mokshay Madiman, Ioannis Kontoyiannis
Over the past few years, a family of interesting new inequalities for the entropies of sums and differences of random variables has been developed by Ruzsa, Tao and others, motivat…