{
  "abstract": "In this paper, a counterexample to Lemma 5 of the paper referenced in the title is provided. Consequently, the formulation of the method of data-driven gaps presented in the referenced paper relies on an additional assumption, namely, that the conditional distribution of the training dataset given the learned model has identical data-point-specific marginals. To overcome this limitation, a generalized formulation of the method of data-driven gaps that does not rely on Lemma 5 and does not require the training samples to be independent or identically distributed is presented. Through this formulation, the applicability of the method of data-driven gaps is extended to a broader class of data distributions and randomized learning algorithms.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26245",
  "author_total": 1,
  "authors": [
    {
      "name": "Samir M. Perlaza"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7r7ec9jphn50g.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26245",
  "fulltext_url": null,
  "id": "7r7ec9jphn50g",
  "issns": [],
  "landing_url": "https://inria.hal.science/hal-05804381v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.IT"
    ],
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      "arxiv",
      "math.IT"
    ],
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      "hal",
      "0.math"
    ],
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      "hal",
      "1.math.math-it"
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      "openalex",
      "1702|Machine Learning and Algorithms"
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  "openalex": "W7222999207",
  "pdf_url": "https://inria.hal.science/hal-05804381/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7r7ec9jphn50g.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:58Z",
      "native_id": "hal-05804381",
      "source": "hal",
      "url": "https://inria.hal.science/hal-05804381v1"
    },
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.26245",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26245"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Corrections to ``The Method of Gaps: Exact Expressions for the Generalization Error of Supervised Learning Algorithms",
  "title_text": "Corrections to ``The Method of Gaps: Exact Expressions for the Generalization Error of Supervised Learning Algorithms",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/7r7ec9jphn50g",
  "venue": "HAL",
  "versions": []
}