JMLR

Vector-Valued Gaussian Processes for Approximating Divergence- or Rotation-free Vector Fields

Authors
Quoc Thong Le Gia Ian Hugh Sloan Holger Wendland
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Paper Information
  • Journal:
    Journal of Machine Learning Research
  • Added to Tracker:
    Jul 06, 2026
Abstract

In this paper, we discuss vector-valued Gaussian processes for the approximation of divergence- or rotation-free functions. We establish the theory for such Gaussian processes, then link the theory to multivariate approximation theory, and finally give error estimates for the predictive mean in various situations.

Author Details
Quoc Thong Le Gia
Author
Ian Hugh Sloan
Author
Holger Wendland
Author
Citation Information
APA Format
Quoc Thong Le Gia , Ian Hugh Sloan & Holger Wendland . Vector-Valued Gaussian Processes for Approximating Divergence- or Rotation-free Vector Fields. Journal of Machine Learning Research .
BibTeX Format
@article{paper1423,
  title = { Vector-Valued Gaussian Processes for Approximating Divergence- or Rotation-free Vector Fields },
  author = { Quoc Thong Le Gia and Ian Hugh Sloan and Holger Wendland },
  journal = { Journal of Machine Learning Research },
  url = { https://www.jmlr.org/papers/v27/24-0885.html }
}
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