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A fast surrogate cross validation algorithm for meshfree RBF collocation approaches

F. Marchetti

Applied Mathematics and Computation, 2024, vol. 481, issue C

Abstract: Cross-validation is an important tool in the Radial Basis Function (RBF) collocation setting, especially for the crucial tuning of the shape parameter related to the radial basis function. In this paper, we define a new efficient surrogate cross-validation algorithm, which computes an accurate approximation of the true validation error with much less computational effort with respect to a standard implementation. The proposed scheme is first analyzed and described in detail and then tested in various numerical experiments that confirm its efficiency and effectiveness.

Keywords: Radial basis functions; Meshfree collocation; Cross validation; Parameter tuning (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:481:y:2024:i:c:s0096300324004041

DOI: 10.1016/j.amc.2024.128943

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