154 citations · 1.3k across the 48 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…
math.PR2015★ 50 cited
Optimal Concentration of Information Content For Log-Concave Densities
Matthieu Fradelizi, Mokshay Madiman, Liyao Wang
An elementary proof is provided of sharp bounds for the varentropy of random vectors with log-concave densities, as well as for deviations of the information content from its mean.…