{
  "abstract": "Feature and sample screening reduce the cost of machine learning by eliminating irrelevant features and noninformative samples, respectively. Although recognized as primal-dual counterparts, their relationship remains informal and model-dependent. Viewing screening and duality as transformations of objective functions, we introduce Fenchel-Rockafellar (FR) representations, a class of convex problems encompassing the Lasso and SVM that is closed under both transformations. We then prove that feature and sample screening form an equivariant pair: dualization followed by feature screening is equal to sample screening followed by dualization.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.02418",
  "author_total": 1,
  "authors": [
    {
      "name": "Thu-Le Tran"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/70rpsf5fpwmsj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.02418",
  "fulltext_url": null,
  "id": "70rpsf5fpwmsj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.02418",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.OC"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.02418",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/70rpsf5fpwmsj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "2609.02418",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.02418"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "On the Duality between Feature and Sample Screening",
  "title_text": "On the Duality between Feature and Sample Screening",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:20Z",
  "url": "https://research.draconitic.com/paper/70rpsf5fpwmsj",
  "venue": "arXiv",
  "versions": []
}