Vector-Valued Gaussian Processes for Approximating Divergence- or Rotation-free Vector Fields
Numerical Analysis
2025-11-18 v1 Numerical Analysis
Probability
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.
Cite
@article{arxiv.2511.12535,
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= {arXiv preprint arXiv:2511.12535},
year = {2025}
}