Residual-error cross-validation method for selecting a suitable shape parameter for RBF interpolation

DOI10.1016/j.enganabound.2022.06.021OpenAlexW4284969789WikidataQ113875185 ScholiaQ113875185MaRDI QIDQ2085927

Chuin-Shan Chen, L. H. Kuo, Jossy Uvah

Publication date: 19 October 2022

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2022.06.021

zbMATH Keywords

optimizationradial basis functionsresidual errorsshape parameterLOOCV

Mathematics Subject Classification ID

Biology and other natural sciences (92-XX) Numerical analysis (65-XX)

Uses Software

• Matlab

Cites Work

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• Multiquadric and its shape parameter -- a numerical investigation of error estimate, condition number, and round-off error by arbitrary precision computation
• The role of the multiquadric shape parameters in solving elliptic partial differential equations
• Miscellaneous error bounds for multiquadric and related interpolators
• An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
• The parameter \(R^ 2\) in multiquadric interpolation
• On choosing ``optimal shape parameters for RBF approximation
• Scattered Data Interpolation: Tests of Some Method
• Local error estimates for radial basis function interpolation of scattered data
• Radial Basis Functions
• Multivariate Interpolation and Conditionally Positive Definite Functions. II

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