{
  "abstract": "Numerous agentic workflows are based on a generator-verifier loop: a generator proposes candidates, a cheap verifier scores them, and the workflow terminates when a proposal is verified as good enough. The verifier typically proxies a more costly ground-truth oracle, and as the generator searches adaptively against it, false acceptances may accumulate. Proposals can pass the proxy but fail under the costlier ground-truth check. We study when to stop these loops while controlling the false discovery rate of the accepted proposals. Our construction introduces tools of independent interest in distribution-free statistical testing and conformal risk control, including analysis of $e$-values constructed through index betting and a novel conformal risk control procedure for non-monotone losses. We validate the approach in synthetic settings and on a protein-design benchmark.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.06432",
  "author_total": 3,
  "authors": [
    {
      "name": "Mahmoud Hegazy"
    },
    {
      "name": "Michael I. Jordan"
    },
    {
      "name": "Aymeric Dieuleveut"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dmjhf78vm06t8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.06432",
  "fulltext_url": null,
  "id": "dmjhf78vm06t8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.06432",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.AI"
    ],
    [
      "arxiv",
      "cs.LG"
    ],
    [
      "arxiv",
      "stat.ME"
    ],
    [
      "arxiv",
      "stat.ML"
    ],
    [
      "openalex",
      "1803|Advanced Bandit Algorithms Research"
    ]
  ],
  "openalex": "W7220715562",
  "pdf_url": "https://arxiv.org/pdf/2610.06432",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dmjhf78vm06t8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:16Z",
      "native_id": "2610.06432",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.06432"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:stat.ME",
      "subfield": "statistics"
    }
  ],
  "title": "Valid Stopping in Adaptive Generator-Verifier Loops",
  "title_text": "Valid Stopping in Adaptive Generator-Verifier Loops",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:16Z",
  "url": "https://research.draconitic.com/paper/dmjhf78vm06t8",
  "venue": "arXiv",
  "versions": []
}