2 citations · 4 across the 6 of their papers we have counts for
6 papers
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}…
Entropy lower bounds and sum-product phenomena
Lampros Gavalakis, Marcel K. Goh, Ioannis Kontoyiannis
Various lower bounds are established for the entropy of sums, products and their combinations. First, we derive a prime-field analogue of a version of the entropy power inequality…
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…
Entropic additive energy and entropy inequalities for sums and products
Rupert Li, Lampros Gavalakis, Ioannis Kontoyiannis
Following a growing number of studies that, over the past 15 years, have established entropy inequalities via ideas and tools from additive combinatorics, in this work we obtain a…
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…