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

Year: 2025

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2511.12535

Authors: Gia, Quoc Thong Le, Sloan, Ian Hugh, Wendland, Holger

Topic: Gaussian Processes and Bayesian Inference

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4416355774

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