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Average case tractability of additive random fields with Korobov kernels

Numerical Analysis 2019-07-02 v1 Numerical Analysis

Abstract

We investigate average case tractability of approximation of additive random fields with marginal random processes corresponding to the Korobov kernels for the non-homogeneous case. We use the absolute error criterion (ABS) or the normalized error criterion (NOR). We show that the problem is always polynomially tractable for ABS or NOR, and give sufficient and necessary conditions for strong polynomial tractability for ABS or NOR.

Cite

@article{arxiv.1907.00576,
  title  = {Average case tractability of additive random fields with Korobov kernels},
  author = {Jia Chen and Heping Wang},
  journal= {arXiv preprint arXiv:1907.00576},
  year   = {2019}
}

Comments

15 pages

R2 v1 2026-06-23T10:08:17.002Z