Vector-Valued Gaussian Processes for Approximating Divergence- or Rotation-free Vector Fields
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911268308254720 |
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| author | Gia, Quoc Thong Le Sloan, Ian Hugh Wendland, Holger |
| author_facet | Gia, Quoc Thong Le Sloan, Ian Hugh Wendland, Holger |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12535 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Vector-Valued Gaussian Processes for Approximating Divergence- or Rotation-free Vector Fields Gia, Quoc Thong Le Sloan, Ian Hugh Wendland, Holger Numerical Analysis Probability 65D12 (Primary) 60G15 (Secondary) G.1.1; G.1.2; G.3 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. |
| title | Vector-Valued Gaussian Processes for Approximating Divergence- or Rotation-free Vector Fields |
| topic | Numerical Analysis Probability 65D12 (Primary) 60G15 (Secondary) G.1.1; G.1.2; G.3 |
| url | https://arxiv.org/abs/2511.12535 |