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

Quoc Thong Le Gia, Ian Hugh Sloan, Holger Wendland; 27(74):1−36, 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.

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