{
  "abstract": "We study the optimal Stein error exponent for one-way distributed hypothesis testing under a communication rate constraint. We establish exact rate-exponent tradeoffs for new classes of finite-alphabet sources, including a complete single-letter characterization for every pair of strictly positive binary joint distributions as well as testing-against-dependence. Our converse analysis refines the auxiliary-receiver method through three complementary steps. First, we establish an information-projection identity that identifies the posterior-divergence optimization in an existing converse with Han's exponent functional. Second, we obtain an additional excess-rate branch by retaining a mutual-information term discarded in the usual rate relaxation. Third, we develop a two-telescope upper bound whose auxiliary variables are coupled through a joint rate constraint. Combining these bounds with information-geometric matching conditions yields exact exponents for three classes of sources by matching the achievable bounds of Han and Shimokawa-Han-Amari.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.23465",
  "author_total": 3,
  "authors": [
    {
      "name": "Zhenduo Wen"
    },
    {
      "name": "Amin Gohari"
    },
    {
      "name": "Michèle Wigger"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2jgx1mgyxn7yt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.23465",
  "fulltext_url": null,
  "id": "2jgx1mgyxn7yt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.23465",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.IT"
    ],
    [
      "arxiv",
      "math.IT"
    ],
    [
      "openalex",
      "1705|Distributed Sensor Networks and Detection Algorithms"
    ]
  ],
  "openalex": "W7204176447",
  "pdf_url": "https://arxiv.org/pdf/2608.23465",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2jgx1mgyxn7yt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2608.23465",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.23465"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Exact Rate Exponent Tradeoff for New Classes of Distributed Hypothesis Testing Problems",
  "title_text": "Exact Rate Exponent Tradeoff for New Classes of Distributed Hypothesis Testing Problems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/2jgx1mgyxn7yt",
  "venue": "arXiv",
  "versions": []
}