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cs.IT2023
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…
cs.IT2023
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…