{
  "abstract": "Gamma-ray burst (GRB) correlations probe central engines, relativistic outflows, and radiation processes. The Dainotti relation is an anticorrelation between the X-ray plateau luminosity $L_a$ and rest-frame plateau duration $T_a^{\\rm rest}$. We use symbolic regression to compare it with other low-dimensional correlations in 251 GRBs with Swift-XRT plateau properties and Swift-BAT prompt-emission parameters. We perform a Dainotti-guided search, in which $\\log T_a^{\\rm rest}$ is always present, and an unrestricted search over subsets of at most three variables. The guided search recovers the Dainotti dependence; a D'Agostini fit gives $\\log L_a=(51.92\\pm0.30)-(1.31\\pm0.09)\\log T_a^{\\rm rest}$, with intrinsic scatter $σ_{\\rm int}=0.82\\pm0.05$ dex. In the unrestricted ranking of 377 feature subsets, the classical Dainotti relation remains competitive, within the top $\\sim25\\%$ of the tested search spaces. The highest-ranked screened expression is $\\log L_a\\approx0.855\\log L_{\\rm peak}-0.782\\log T_a^{\\rm rest}$, with RMSE $\\approx0.46$ and $R^2\\approx0.88$. The highest-ranked runs repeatedly reduce to this prompt--plateau structure, without retaining additional spectral, absorption, or afterglow-shape variables. A direct regression gives $\\log L_a=4.718+0.776\\log L_{\\rm peak}-0.805\\log T_a^{\\rm rest}$, with $R_{\\rm P}=0.91$ for 246 bursts. An errors-in-variables refit gives consistent coefficients. After removing shared luminosity-distance dependence, the relation retains non-negligible explanatory power ($R^2\\approx0.62$), consistent with a possible intrinsic component. Restricted Monte Carlo null tests give $p\\approx0.01$. Plateau luminosity therefore shows a coupled dependence on prompt luminosity and plateau duration.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.23155",
  "author_total": 5,
  "authors": [
    {
      "name": "Fatemeh Rastegarnia"
    },
    {
      "name": "Rahim Moradi"
    },
    {
      "name": "Brwa Shukur Ismael"
    },
    {
      "name": "Mohsen Asaadi"
    },
    {
      "name": "Yu Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/frb9eb5z33fjg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.23155",
  "fulltext_url": null,
  "id": "frb9eb5z33fjg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.23155",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "astro-ph.HE"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.23155",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/frb9eb5z33fjg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:32Z",
      "native_id": "2610.23155",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.23155"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.HE",
      "subfield": "high-energy-astrophysics"
    }
  ],
  "title": "Ranking Prompt--Plateau Correlations in Gamma-Ray Bursts with Symbolic Regression",
  "title_text": "Ranking Prompt--Plateau Correlations in Gamma-Ray Bursts with Symbolic Regression",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:28Z",
  "url": "https://research.draconitic.com/paper/frb9eb5z33fjg",
  "venue": "arXiv",
  "versions": []
}