{
  "abstract": "We propose a primal heuristic for quadratic mixed-integer problems. Our method extends the Boscia framework – originally a mixed-integer convex solver leveraging a Frank-Wolfe-based branch-and-bound approach – to address nonconvex quadratic objective functions and constraints. We reformulate nonlinear constraints, introduce preprocessing steps, and a suite of heuristics including rounding strategies, gradient-guided selection, and large neighborhood search techniques that exploit integer-feasible vertices generated during the Frank-Wolfe iterations. Computational results demonstrate the effectiveness of our method in solving challenging MIQCQPs, achieving improvements on QPLIB instances within minutes and winning first place in the Land-Doig MIP Computational Competition 2025.",
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  "author_total": 5,
  "authors": [
    {
      "name": "Gioni Mexi"
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    {
      "name": "Deborah Hendrych"
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    {
      "name": "Sébastien Designolle"
    },
    {
      "name": "Mathieu Besançon"
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    {
      "name": "Sebastian Pokutta"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4y0tf6vh4dtbh.bib",
  "cited_by": 0,
  "doi": "10.1007/s12532-026-00340-3",
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  "id": "4y0tf6vh4dtbh",
  "issns": [
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    "1867-2957"
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  "landing_url": "https://inria.hal.science/hal-05775584v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "pdf_url": "https://inria.hal.science/hal-05775584/document",
  "pmcid": null,
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  "published": "2026-09-03",
  "publisher": "Springer",
  "ris": "https://research.draconitic.com/paper/4y0tf6vh4dtbh.ris",
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-oc",
      "subfield": "optimisation-control"
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  "title": "A Frank-Wolfe-based primal heuristic for quadratic mixed-integer optimization",
  "title_text": "A Frank-Wolfe-based primal heuristic for quadratic mixed-integer optimization",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:46Z",
  "url": "https://research.draconitic.com/paper/4y0tf6vh4dtbh",
  "venue": "Mathematical Programming Computation",
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}