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Multiobjective evolutionary optimization of the size, shape, and position parameters of radial basis function networks for function approximation
| Venue: | IEEE Transactions on Neural Networks |
| Citations: | 27 - 7 self |
BibTeX
@ARTICLE{González_multiobjectiveevolutionary,
author = {Jesús González and Ignacio Rojas and Julio Ortega and Héctor Pomares and Fco Javier Fernández and Antonio Fco Díaz},
title = {Multiobjective evolutionary optimization of the size, shape, and position parameters of radial basis function networks for function approximation},
journal = {IEEE Transactions on Neural Networks},
year = {},
pages = {2003}
}
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Abstract
Abstract—This paper presents a multiobjective evolutionary algorithm to optimize radial basis function neural networks (RBFNNs) in order to approach target functions from a set of input-output pairs. The procedure allows the application of heuristics to improve the solution of the problem at hand by including some new genetic operators in the evolutionary process. These new operators are based on two well-known matrix transformations: singular value decomposition (SVD) and orthogonal least squares (OLS), which have been used to define new mutation operators that produce local or global modifications in the radial basis functions (RBFs) of the networks (the individuals in the population in the evolutionary procedure). After analyzing the efficiency of the different operators, we have shown that the global mutation operators yield an improved procedure to adjust the parameters of the RBFNNs. Index Terms—Evolutionary computation, neural networks, radial basis functions (RBFs), orthogonal transformations, heuristics.
Keyphrases
function approximation position parameter multiobjective evolutionary optimization radial basis function network radial basis function singular value decomposition global modification multiobjective evolutionary algorithm different operator radial basis function neural network improved procedure neural network evolutionary process orthogonal transformation evolutionary procedure global mutation operator index term evolutionary computation orthogonal least square new operator target function new mutation operator new genetic operator well-known matrix transformation input-output pair
