On conditional Sibson's α-Mutual Information

2021/02/01 by Amedeo Roberto Esposito, Esposito, Amedeo Roberto, Diyuan Wu +3 · 1 citation
Engineering · Computer Science · Physics and Astronomy · #Wireless Communication Security Techniques #Computability, Logic, AI Algorithms #Statistical Mechanics and Entropy

paper · doi:10.48550/arxiv.2102.00720

Abstract

In this work, we analyse how to define a conditional version of Sibson's α-Mutual Information. Several such definitions can be advanced and they all lead to different information measures with different (but similar) operational meanings. We will analyse in detail one such definition, compute a closed-form expression for it and endorse it with an operational meaning while also considering some applications. The alternative definitions will also be mentioned and compared.

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