Average case tractability of multivariate approximation with Gevrey type kernels
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866915071237554176 |
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| author | Lu, Wanting Wang, Heping |
| author_facet | Lu, Wanting Wang, Heping |
| contents | We consider multivariate approximation problems in the average case setting with a zero mean Gaussian measure whose covariance kernel is a periodic Gevrey kernel. We investigate various notions of algebraic tractability and exponential tractability, and obtain necessary and sufficient conditions in terms of the parameters of the problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14791 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Average case tractability of multivariate approximation with Gevrey type kernels Lu, Wanting Wang, Heping Numerical Analysis 41A63, 65C05, 65D15, 65Y20 We consider multivariate approximation problems in the average case setting with a zero mean Gaussian measure whose covariance kernel is a periodic Gevrey kernel. We investigate various notions of algebraic tractability and exponential tractability, and obtain necessary and sufficient conditions in terms of the parameters of the problem. |
| title | Average case tractability of multivariate approximation with Gevrey type kernels |
| topic | Numerical Analysis 41A63, 65C05, 65D15, 65Y20 |
| url | https://arxiv.org/abs/2412.14791 |