{
  "abstract": "Model reduction via the Mori-Zwanzig (MZ) formalism is well understood for coarse-grained representations constructed from standard basis functions such as Fourier functions. We show that the same formalism can be used to build reduced-order models in bases discovered by physics-informed machine learning. The fluctuation-dissipation theorem (FDT) is used to close the resulting non-Markovian evolution equations for the expansion coefficients of the learned basis. We further introduce a complementary, generative closure model. Relative to the Markovian dynamics alone, both the MZ and generative closures substantially improve predictions of the filtered states.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05211",
  "author_total": 4,
  "authors": [
    {
      "name": "Emily Williams"
    },
    {
      "name": "Saad Qadeer"
    },
    {
      "name": "Amanda Howard"
    },
    {
      "name": "Panos Stinis"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4av115s2sc0vx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05211",
  "fulltext_url": null,
  "id": "4av115s2sc0vx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05211",
  "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",
      "cs.LG"
    ],
    [
      "arxiv",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05211",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4av115s2sc0vx.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:29Z",
      "native_id": "2611.05211",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05211"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "Physics-informed traditional and generative Mori-Zwanzig-reduced models for multiscale systems",
  "title_text": "Physics-informed traditional and generative Mori-Zwanzig-reduced models for multiscale systems",
  "type": "preprint",
  "updated_at": "2026-11-04T15:21:29Z",
  "url": "https://research.draconitic.com/paper/4av115s2sc0vx",
  "venue": "arXiv",
  "versions": []
}