A Tight Lower Bound on the Mutual Information of a Binary and an Arbitrary Finite Random Variable in Dependence of the Variational Distance

A. G. Stefani; J. B. Huber; C. Jardin; H. Sticht

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arXiv · 1301.5937

A Tight Lower Bound on the Mutual Information of a Binary and an Arbitrary Finite Random Variable in Dependence of the Variational Distance

A. G. Stefani·J. B. Huber·C. Jardin·H. Sticht

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Abstract

In this paper a numerical method is presented, which finds a lower bound for the mutual information between a binary and an arbitrary finite random variable with joint distributions that have a variational distance not greater than a known value to a known joint distribution. This lower bound can be applied to mutual information estimation with confidence intervals.

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A. G. Stefani, J. B. Huber, C. Jardin, H. Sticht. 2013-01-25. A Tight Lower Bound on the Mutual Information of a Binary and an Arbitrary Finite Random Variable in Dependence of the Variational Distance. https://arxiv.org/abs/1301.5937

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