@article{SOCO2012i22fenaf,
author = "Francisco Fernandez-Navarro and Pedro Antonio Guti{\'e}rrez and C{\'e}sar Herv{\'a}s-Mart{\'i}nez",
abstract = "The mixed use of different shapes of Radial Basis Functions (RBFs) in Radial Basis
Functions Neural Networks (RBFNNs)
is investigated in this paper. For this purpose, we propose the use of a generalised
version of the standard RBFNN, based on the Generalised Gaussian Distribution
(GGD). The Generalised Radial Basis Function (GRBF) proposed in this paper is able
to reproduce other different Radial Basis Functions (RBFs) by changing a real
parameter $\tau$. In the proposed methodology, a Hybrid Evolutionary Algorithm
(HEA) is employed to estimate the number of hidden neuron, the centers, type and
width of each RBF associated with each radial unit. In order to test the performance of
the proposed methodology, an experimental study is presented with twenty datasets
from the UCI repository. The GRBF Neural Network (GRBFNN) was compared to
RBFNNs with Gaussian, Cauchy and Inverse Multiquadratic RBFs in the hidden layer
and to other classifiers, including different RBFNN design methods, Support Vector
Machines (SVMs), a sparse probabilistic classifier (Sparse Multinominal Logistic
Regression, SMLR) and other non-sparse (but regularised) probabilistic classifiers
(Regularised Multinominal Logistic Regression, RMLR). The GRBFNN models were
found to be better than the alternative RBFNNs for
almost all datasets, producing the highest mean accuracy rank.
",
awards = "JCR (2013): 1.304 (category COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE, position 59/121 Q2)",
comments = "JCR (2013): 1.304 (category COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE, position 59/121 Q2)",
doi = "10.1007/s00500-012-0923-4",
journal = "Soft Computing",
note = "JCR (2013): 1.304 (category COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE, position 59/121 Q2)",
number = "3",
pages = "519-533",
title = "{G}eneralised {G}aussian {R}adial {B}asis {F}unction {N}eural {N}etworks",
url = "http://dx.doi.org/10.1007/s00500-012-0923-4",
volume = "17",
year = "2013",
}