229 citations · 262 across the 14 of their papers we have counts for
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math.PR2015★ 11 cited
Concentration of information content for convex measures
Matthieu Fradelizi, Jiange Li, Mokshay Madiman
We establish sharp exponential deviation estimates of the information content as well as a sharp bound on the varentropy for the class of convex measures on Euclidean spaces. This…
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?…