2 citations · 4 across the 15 of their papers we have counts for
9 papers · 1 filter
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…
Entropic versions of Bergström's and Bonnesen's inequalities
Matthieu Fradelizi, Lampros Gavalakis, Martin Rapaport
We establish analogues of the Bergström and Bonnesen inequalities, related to determinants and volumes respectively, for the entropy power and for the Fisher information. The obtai…
Pragmatic lossless compression: Fundamental limits and universality
Andreas Theocharous, Lampros Gavalakis, Ioannis Kontoyiannis
The problem of variable-rate lossless data compression is considered, for codes with and without prefix constraints. Sharp bounds are derived for the best achievable compression ra…
The entropic doubling constant and robustness of Gaussian codebooks for additive-noise channels
Lampros Gavalakis, Ioannis Kontoyiannis, Mokshay Madiman
Entropy comparison inequalities are obtained for the differential entropy of the sum of two independent random vectors , when one is replaced by a Gaussian. For ident…
On the entropy and information of Gaussian mixtures
Alexandros Eskenazis, Lampros Gavalakis
We establish several convexity properties for the entropy and Fisher information of mixtures of centered Gaussian distributions. First, we prove that if are independent…
A Third Information-Theoretic Approach to Finite de Finetti Theorems
Mario Berta, Lampros Gavalakis, Ioannis Kontoyiannis
A new finite form of de Finetti's representation theorem is established using elementary information-theoretic tools. The distribution of the first random variables in an excha…
An Information-Theoretic Proof of a Finite de Finetti Theorem
Lampros Gavalakis, Ioannis Kontoyiannis
A finite form of de Finetti's representation theorem is established using elementary information-theoretic tools: The distribution of the first random variables in an exchangea…
Sharp Second-Order Pointwise Asymptotics for Lossless Compression with Side Information
Lampros Gavalakis, Ioannis Kontoyiannis
The problem of determining the best achievable performance of arbitrary lossless compression algorithms is examined, when correlated side information is available at both the encod…
Fundamental Limits of Lossless Data Compression with Side Information
Lampros Gavalakis, Ioannis Kontoyiannis
The problem of lossless data compression with side information available to both the encoder and the decoder is considered. The finite-blocklength fundamental limits of the best ac…