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08/30/2023
On the entropy and information of Gaussian mixtures
We establish several convexity properties for the entropy and Fisher inf...
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04/11/2023
A Third Information-Theoretic Approach to Finite de Finetti Theorems
A new finite form of de Finetti's representation theorem is established ...
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10/12/2022
Approximate Discrete Entropy Monotonicity for Log-Concave Sums
It is proved that for any n ≥ 1, if X_1,…,X_n are i.i.d. integer-valued,...
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04/11/2022
Information in probability: Another information-theoretic proof of a finite de Finetti theorem
We recall some of the history of the information-theoretic approach to d...
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06/01/2021
Entropy and the Discrete Central Limit Theorem
A strengthened version of the central limit theorem for discrete random ...
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04/08/2021
An Information-Theoretic Proof of a Finite de Finetti Theorem
A finite form of de Finetti's representation theorem is established usin...
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05/21/2020
Sharp Second-Order Pointwise Asymptotics for Lossless Compression with Side Information
The problem of determining the best achievable performance of arbitrary ...
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12/12/2019