Average Case Approximation: Convergence and Tractability of Gaussian Kernels

DOI10.1007/978-3-642-27440-4_16zbMath1271.65028OpenAlexW1482869483MaRDI QIDQ5326114

Fred J. Hickernell, Gregory E. Fasshauer, Henryk Woźniakowski

Publication date: 31 July 2013

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-27440-4_16

zbMATH Keywords

algorithmBanach spacelinear functionalsreproducing kernel Hilbert spacecovariance operatorGaussian measureaverage caseworst casestrong polynomial tractability

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Algorithms for approximation of functions (65D15)

Related Items (10)

Asymptotic analysis in multivariate average case approximation with Gaussian kernels ⋮ Green’s Functions: Taking Another Look at Kernel Approximation, Radial Basis Functions, and Splines ⋮ A Kernel-Based Collocation Method for Elliptic Partial Differential Equations With Random Coefficients ⋮ Multivariate integration for analytic functions with Gaussian kernels ⋮ Asymptotic analysis in multivariate worst case approximation with Gaussian kernels ⋮ Multivariate approximation for analytic functions with Gaussian kernels ⋮ Average case tractability of multivariate approximation with Gaussian kernels ⋮ Generalized Mercer Kernels and Reproducing Kernel Banach Spaces ⋮ Integration in reproducing kernel Hilbert spaces of Gaussian kernels ⋮ Unnamed Item

Uses Software

• Matlab

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