On conditional Sibson's $\alpha$-Mutual Information
Information Theory
2021-06-09 v6 math.IT
Probability
Statistics Theory
Statistics Theory
Abstract
In this work, we analyse how to define a conditional version of Sibson's -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.
Cite
@article{arxiv.2102.00720,
title = {On conditional Sibson's $\alpha$-Mutual Information},
author = {Amedeo Roberto Esposito and Diyuan Wu and Michael Gastpar},
journal= {arXiv preprint arXiv:2102.00720},
year = {2021}
}
Comments
Accepted for Publication by ISIT