{
  "annotation_id": "385051b3-d2fc-46f9-85fc-29a00fd9a858",
  "date_created": "2026-02-17T05:53:19.907000Z",
  "date_modified": "2026-02-17T05:53:19.907000Z",
  "file_hash": "d46ffb7e12b3df77e25333174064b94b7f9db30adf41b380de60d2bcd01bf97c",
  "private": false,
  "record": {
    "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"
    ],
    "categories": [
      "cs.IT",
      "math.IT"
    ],
    "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",
    "version": "v2"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "52011ffe-4313-40fc-8387-0cc647613aed",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}