A Generalized Leakage Interpretation of Alpha-Mutual Information

preprint2026arXivOpen access

Abstract

This paper presents a unified interpretation of αα-mutual information (αα-MI) in terms of generalized gg-leakage. Specifically, we present a novel interpretation of αα-MI within an extended framework for quantitative information flow based on adversarial generalized decision problems. This framework employs the Kolmogorov-Nagumo mean and the qq-logarithm to characterize adversarial gain. Furthermore, we demonstrate that, within this framework, the parameter αα can be interpreted as a measure of the adversary's risk aversion.

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