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

Published 16 Nov 2025 in math.NA and math.PR | (2511.12535v1)

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.

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