2 citations · 4 across the 15 of their papers we have counts for
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Entropy power inequalities in compact groups
Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu +1
Suppose are independent random variables with values in a compact abelian group . We examine the following two entropy power-type inequalities: $h(X+Y)\geq \frac{1}{2}…
Entropic analogues of Grünbaum's inequality
Matthieu Fradelizi, Lampros Gavalakis, Martin Rapaport
The classical Grünbaum inequality asserts that the proportion of the volume of a convex body cut off by a halfspace containing its barycenter is at least . From its functional…
Conditions for equality and stability in Shannon's and Tao's entropy power inequalities
Lampros Gavalakis, Ioannis Kontoyiannis
We show that there is equality in Shannon's Entropy Power Inequality (EPI) if and only if the random variables involved are Gaussian, assuming nothing beyond the existence of diffe…
Finite de Finetti bounds in relative entropy
Lampros Gavalakis, Oliver Johnson, Ioannis Kontoyiannis
We review old and recent finite de Finetti theorems in total variation distance and in relative entropy, and we highlight their connections with bounds on the difference between sa…
Relative entropy bounds for sampling with and without replacement
Oliver Johnson, Lampros Gavalakis, Ioannis Kontoyiannis
Sharp, nonasymptotic bounds are obtained for the relative entropy between the distributions of sampling with and without replacement from an urn with balls of colors. Our…
On the monotonicity of discrete entropy for log-concave random vectors on
Matthieu Fradelizi, Lampros Gavalakis, Martin Rapaport
We prove the following type of discrete entropy monotonicity for sums of isotropic, log-concave, independent and identically distributed random vectors on $\mat…
Approximate Discrete Entropy Monotonicity for Log-Concave Sums
Lampros Gavalakis
It is proven that a conjecture of Tao (2010) holds true for log-concave random variables on the integers: For every , if are i.i.d. integer-valued, log-c…
Information in probability: Another information-theoretic proof of a finite de Finetti theorem
Lampros Gavalakis, Ioannis Kontoyiannis
We recall some of the history of the information-theoretic approach to deriving core results in probability theory and indicate parts of the recent resurgence of interest in this a…
Entropy and the Discrete Central Limit Theorem
Lampros Gavalakis, Ioannis Kontoyiannis
A strengthened version of the central limit theorem for discrete random variables is established, relying only on information-theoretic tools and elementary arguments. It is shown…