{
  "abstract": "We study an equation-free screen for finite-window Mittag-Leffler compatibility, in which multihorizon relaxation profiles are constructed out of sample by k-nearest-neighbor prediction from ensembles of scalar trajectories and compared with candidate temporal laws. The screen assesses compatibility, not the generating mechanism. In a matched, noise-free calibration, it reproduces the generating Mittag-Leffler behavior to numerical precision, while relaxation-rate heterogeneity shifts the fitted Mittag-Leffler order toward lower values. For noise-free classical distributed-rate ensembles, a Mittag-Leffler preference over a single exponential disappears when a biexponential alternative is included. Under observational noise, this recovery is incomplete: with three candidate families, the Mittag-Leffler law is still selected in 60% of runs for a classical ensemble, against 72% for a fractional reference. In the tested noise-free settings, simpler profile constructions reproduce the screening decisions, whereas kNN predicts individual trajectories far more accurately than a constant predictor. The screening interpretation of a single-record example, initially investigated as a chaotic test case, is withdrawn as evidence about the continuous system after numerical verification revealed a nonrobust simulated regime. Mittag-Leffler compatibility is therefore a comparative, condition-dependent screening outcome, not identification of fractional origin.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.08588",
  "author_total": 3,
  "authors": [
    {
      "name": "N'Gbo N'Gbo"
    },
    {
      "name": "Andrei Velichko"
    },
    {
      "name": "Bruno Carpentieri"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5gefpmwhtjw0x.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.08588",
  "fulltext_url": null,
  "id": "5gefpmwhtjw0x",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.08588",
  "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.DS"
    ],
    [
      "openalex",
      "2611|Fractional Differential Equations Solutions"
    ]
  ],
  "openalex": "W7167920492",
  "pdf_url": "https://arxiv.org/pdf/2607.08588",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5gefpmwhtjw0x.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2607.08588",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.08588"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Equation-Free Screening of Mittag-Leffler-Compatible Dynamics from Scalar Time Series via kNN Multi-Horizon Profiles",
  "title_text": "Equation-Free Screening of Mittag-Leffler-Compatible Dynamics from Scalar Time Series via kNN Multi-Horizon Profiles",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/5gefpmwhtjw0x",
  "venue": "arXiv",
  "versions": []
}