Arnaud Marsiglietti

activity

20132026

most citedA lower bound on the differential entropy of log-concave random vectors with applications

42 citations · 79 across the 18 of their papers we have counts for

collaborators

Showing cs.ITShow all

3 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…

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 $X$ in terms of the $p$ -th absolute moment of $X$ . The new bound leads to a reverse entropy pow…

cs.IT2016

Variants of the Entropy Power Inequality

Sergey Bobkov, Arnaud Marsiglietti

An extension of the entropy power inequality to the form $N_{r}^{α} (X + Y) \geq N_{r}^{α} (X) + N_{r}^{α} (Y)$ with arbitrary independent summands $X$ and $Y$ in $R^{n}$ is obtained for the…