Optimization of radial basis function networks for pattern classification

Pao Yue-kong Library Electronic Theses Database

Optimization of radial basis function networks for pattern classification

 

Author: Lai, Ka-wa
Title: Optimization of radial basis function networks for pattern classification
Degree: M.Sc.
Year: 1995
Subject: Pattern perception
Neural networks (Computer science)
Hong Kong Polytechnic University -- Dissertations
Department: Dept. of Electronic Engineering
Pages: 63 leaves : ill. ; 30 cm
Language: English
InnoPac Record: http://library.polyu.edu.hk/record=b1219798
URI: http://theses.lib.polyu.edu.hk/handle/200/3663
Abstract: Radial basis function (RBF) networks were introduced by Broomhead and Lowe (1988) [1] and are known to be universal approximators. These networks approximate an unknown function from sample data by positioning radially symmetric "localized receptive fields" over portions of the input space that contain the sample data. Due to the local nature of the network, standard clustering algorithm such as K-means clustering are often used to determine the centers of the receptive fields. In this thesis, we analyse how an RBF network trained with the backpropagation (BP) learning algorithm can be applied to pattern classification problems. We also present a new algorithm for the construction of RBF networks with optimal number of hidden units. Thereby providing a solution to the problem of determining the number of hidden units and the widths required to get a good network solution. In this approach, we use the total mean squared error (MSE) information to determine when to generate and insert a new hidden unit to an RBF network. Then it was tested by the exclusive-or and the two intertwined spiral problems in order to evaluate the classification capability of the network. The results show that the algorithm was able to generate an appropriate number of hidden units and to provide a smooth fit to the training data.

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