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PreprintCC BY 4.0arXiv

Discrete Exterior Calculus-based Whittle-Matérn Fields on Meshes

  • Michael Gillan
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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.

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Cite

BibTeXRIS
BibTeX
@misc{gillan2026discrete,
  title = {{Discrete Exterior Calculus-based Whittle-Matérn Fields on Meshes}},
  author = {Michael Gillan},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.28488},
  eprint = {2610.28488},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.28488},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Discrete Exterior Calculus-based Whittle-Matérn Fields on Meshes
AU  - Michael Gillan
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.28488
UR  - https://arxiv.org/abs/2610.28488
AB  - 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.
ER  -