dorsal/arxiv
View SchemaA Generalized Leakage Interpretation of Alpha-Mutual Information
| Authors | Akira Kamatsuka, Takahiro Yoshida |
|---|---|
| Categories | |
| ArXiv ID | 2601.09406vv1 |
| URL | https://arxiv.org/abs/2601.09406 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
This paper presents a unified interpretation of $\alpha$-mutual information ($\alpha$-MI) in terms of generalized $g$-leakage. Specifically, we present a novel interpretation of $\alpha$-MI within an extended framework for quantitative information flow based on adversarial generalized decision problems. This framework employs the Kolmogorov-Nagumo mean and the $q$-logarithm to characterize adversarial gain. Furthermore, we demonstrate that, within this framework, the parameter $\alpha$ can be interpreted as a measure of the adversary's risk aversion.
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"abstract": "This paper presents a unified interpretation of $\\alpha$-mutual information ($\\alpha$-MI) in terms of generalized $g$-leakage. Specifically, we present a novel interpretation of $\\alpha$-MI within an extended framework for quantitative information flow based on adversarial generalized decision problems. This framework employs the Kolmogorov-Nagumo mean and the $q$-logarithm to characterize adversarial gain. Furthermore, we demonstrate that, within this framework, the parameter $\\alpha$ can be interpreted as a measure of the adversary\u0027s risk aversion.",
"arxiv_id": "2601.09406",
"authors": [
"Akira Kamatsuka",
"Takahiro Yoshida"
],
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"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "A Generalized Leakage Interpretation of Alpha-Mutual Information",
"url": "https://arxiv.org/abs/2601.09406",
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