{
  "abstract": "This work presents a sparse precision formulation for Whittle-Matérn fields based on Discrete Exterior Calculus. By treating the $k$-cochain as the latent object to be modeled, we show that a single formulation can produce Whittle-Matérn fields for all $k$ and integer $α$ values. By utilising Whitney maps we can enable a push-forward of the prior on 1-cochains, enabling inference for discrete vector fields. We demonstrate this model on interpolation of vector fields on a sphere.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.28488",
  "author_total": 1,
  "authors": [
    {
      "name": "Michael Gillan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1nyhm1qy6afrx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.28488",
  "fulltext_url": null,
  "id": "1nyhm1qy6afrx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.28488",
  "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",
      "math.ST"
    ],
    [
      "arxiv",
      "stat.TH"
    ],
    [
      "openalex",
      "1702|Gaussian Processes and Bayesian Inference"
    ]
  ],
  "openalex": "W7223128308",
  "pdf_url": "https://arxiv.org/pdf/2610.28488",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1nyhm1qy6afrx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:08Z",
      "native_id": "2610.28488",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.28488"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.ST",
      "subfield": "statistics"
    }
  ],
  "title": "Discrete Exterior Calculus-based Whittle-Matérn Fields on Meshes",
  "title_text": "Discrete Exterior Calculus-based Whittle-Matérn Fields on Meshes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:13Z",
  "url": "https://research.draconitic.com/paper/1nyhm1qy6afrx",
  "venue": "arXiv",
  "versions": []
}