42 citations · 79 across the 18 of their papers we have counts for
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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…
cs.IT2017★ 42 cited
A lower bound on the differential entropy of log-concave random vectors with applications
Arnaud Marsiglietti, Victoria Kostina
We derive a lower bound on the differential entropy of a log-concave random variable in terms of the -th absolute moment of . The new bound leads to a reverse entropy pow…
math.FA2017★ 5 cited
The convexification effect of Minkowski summation
Matthieu Fradelizi, Mokshay Madiman, Arnaud Marsiglietti +1
Let us define for a compact set the sequence $$ A(k) = \left\{\frac{a_1+\cdots +a_k}{k}: a_1, \ldots, a_k\in A\right\}=\frac{1}{k}\Big(\underset{k\ {\rm ti…