Genetic Algorithm-Based Shape Parameter Tuning for Radial Basis Function Interpolation

Operations Research Forum 2026 Open access

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Authors: Roberto Cavoretto, Alessandra De Rossi, Sandro Lancellotti, Domenico Mezzanotte
DOI: 10.1007/s43069-026-00610-9
Cited by: 1
References: 20

Abstract

Abstract In this study, we address the non-trivial problem of determining the optimal shape parameter in radial basis function interpolation. We propose the use of a genetic algorithm, an optimization technique inspired by evolutionary selection, to identify this parameter. Numerical experiments are presented to evaluate the effectiveness of this approach, with direct comparisons to the leave-one-out cross-validation method, thereby highlighting its computational efficiency.

Fields of Study & Subjects

Numerical methods in engineering Advanced Numerical Analysis Techniques Model Reduction and Neural Networks

Publication details

Journal / source
Operations Research Forum
Publisher
Springer Science and Business Media LLC
Volume
7
Issue
1
Publication date
16 February 2026
Language
EN