73 citations · 160 across the 24 of their papers we have counts for
Showing 2017Show all
2 papers · 1 filter
cs.IT2017
On the entropy power inequality for the Rényi entropy of order [0,1]
Arnaud Marsiglietti, James Melbourne
Using a sharp version of the reverse Young inequality, and a Rényi entropy comparison result due to Fradelizi, Madiman, and Wang, the authors are able to derive Rényi entropy power…
math.PR2017★ 27 cited
Rogozin's convolution inequality for locally compact groups
Mokshay Madiman, James Melbourne, Peng Xu
General extensions of an inequality due to Rogozin, concerning the essential supremum of a convolution of probability density functions on the real line, are obtained. While a weak…