{
  "abstract": "Detecting hidden convexity is one of the tools to address nonconvex minimization problems, and find global minimizers. We introduce the notion of conditional infimum, develop the theory, and establish a tower property, relevant for minimization problems. Then, we illustrate how the conditional infimum is instrumental in revealing hidden convexity. Thus equipped, we provide a new sufficient condition for hidden convexity in nonconvex quadratic minimization problems, that encompasses and goes beyond known results (with the notion of block-signed pair matrix-vector). We also show how the conditional infimum is especially adapted to tackle the so-called S-procedure.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.24661",
  "author_total": 2,
  "authors": [
    {
      "name": "Jean-Philippe Chancelier"
    },
    {
      "name": "Michel de Lara"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2122730h4h3yk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.24661",
  "fulltext_url": null,
  "id": "2122730h4h3yk",
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  "landing_url": "https://hal.science/hal-05754640v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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      "math.OC"
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      "openalex",
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  "openalex": "W7214029474",
  "pdf_url": "https://hal.science/hal-05754640/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2122730h4h3yk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:36Z",
      "native_id": "hal-05754640",
      "source": "hal",
      "url": "https://hal.science/hal-05754640v1"
    },
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.24661",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.24661"
    }
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Conditional Infimum, Hidden Convexity and S-Procedure",
  "title_text": "Conditional Infimum, Hidden Convexity and S-Procedure",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/2122730h4h3yk",
  "venue": "HAL",
  "versions": []
}