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

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. [abs] [ pdf ][ bib ] © JMLR 2026. (edit, beta)