{
  "abstract": "In this work, Neural ODEs equipped with a curated collection of equilibrium points have been successfully employed for classification tasks. The planted fixed points serve as indicators for the target classes, while the velocity field, leveraging the universal approximation capabilities of the architecture, shapes the dynamical landscape. This process defines the basins of attraction of the trained model, effectively directing each input (provided as an initial condition) toward its corresponding destination target.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.23550",
  "author_total": 6,
  "authors": [
    {
      "name": "Feliciano Giuseppe Pacifico"
    },
    {
      "name": "Duccio Fanelli"
    },
    {
      "name": "Lorenzo Buffoni"
    },
    {
      "name": "Lorenzo Chicchi"
    },
    {
      "name": "Diego Febbe"
    },
    {
      "name": "Raffaele Marino"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ds8cj3n8g9ga5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.23550",
  "fulltext_url": null,
  "id": "ds8cj3n8g9ga5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.23550",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.dis-nn"
    ],
    [
      "arxiv",
      "cs.LG"
    ],
    [
      "openalex",
      "1702|Neural Networks and Applications"
    ]
  ],
  "openalex": "W7165681492",
  "pdf_url": "https://arxiv.org/pdf/2606.23550",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ds8cj3n8g9ga5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:15Z",
      "native_id": "2606.23550",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.23550"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.dis-nn",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Approximating velocity fields with planted point attractors via Neural-ODE for classification purposes",
  "title_text": "Approximating velocity fields with planted point attractors via Neural-ODE for classification purposes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:15Z",
  "url": "https://research.draconitic.com/paper/ds8cj3n8g9ga5",
  "venue": "arXiv",
  "versions": []
}