A Generalized Leakage Interpretation of Alpha-Mutual Information
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866918292401160192 |
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| author | Kamatsuka, Akira Yoshida, Takahiro |
| author_facet | Kamatsuka, Akira Yoshida, Takahiro |
| contents | This paper presents a unified interpretation of $α$-mutual information ($α$-MI) in terms of generalized $g$-leakage. Specifically, we present a novel interpretation of $α$-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 $α$ can be interpreted as a measure of the adversary's risk aversion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09406 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Generalized Leakage Interpretation of Alpha-Mutual Information Kamatsuka, Akira Yoshida, Takahiro Information Theory This paper presents a unified interpretation of $α$-mutual information ($α$-MI) in terms of generalized $g$-leakage. Specifically, we present a novel interpretation of $α$-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 $α$ can be interpreted as a measure of the adversary's risk aversion. |
| title | A Generalized Leakage Interpretation of Alpha-Mutual Information |
| topic | Information Theory |
| url | https://arxiv.org/abs/2601.09406 |