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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

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Showing 2019Show all

3 papers · 1 filter

math.PR2019

Entropic CLT for smoothed convolutions and associated entropy bounds

Sergey G. Bobkov, Arnaud Marsiglietti

We explore an asymptotic behavior of entropies for sums of independent random variables that are convolved with a small continuous noise.

math.PR2019

Local limit theorems for smoothed Bernoulli and other convolutions

Sergey G. Bobkov, Arnaud Marsiglietti

We explore an asymptotic behavior of densities of sums of independent random variables that are convoluted with a small continuous noise.

math.PR2019

Further investigations of Rényi entropy power inequalities and an entropic characterization of s-concave densities

Jiange Li, Arnaud Marsiglietti, James Melbourne

We investigate the role of convexity in Rényi entropy power inequalities. After proving that a general Rényi entropy power inequality in the style of Bobkov-Chistyakov (2015) fails…