Average case tractability of multivariate approximation with Gevrey type kernels
Numerical Analysis
2024-12-20 v1 Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2412.14791,
title = {Average case tractability of multivariate approximation with Gevrey type kernels},
author = {Wanting Lu and Heping Wang},
journal= {arXiv preprint arXiv:2412.14791},
year = {2024}
}
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18 pages