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arXiv · 2005.06033

Strong Asymptotic Composition Theorems for Mutual Information Measures

Benjamin Wu·Aaron B. Wagner·Ibrahim Issa·G. Edward Suh
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Abstract

We characterize the growth of the Sibson and Arimoto mutual informations and $\alpha$-maximal leakage, of any order that is at least unity, between a random variable and a growing set of noisy, conditionally independent and identically-distributed observations of the random variable. Each of these measures increases exponentially fast to a limit that is order- and measure-dependent, with an exponent that is order- and measure-independent.

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Benjamin Wu, Aaron B. Wagner, Ibrahim Issa, G. Edward Suh. 2020-05-12. Strong Asymptotic Composition Theorems for Mutual Information Measures. https://arxiv.org/abs/2005.06033

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