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Erschienen in:
How Accurate Can Instrumental Variable Models Become? Kapitel lesen Erstes Kapitel lesen

2012 | OriginalPaper | Buchkapitel

13. Construction of Radial Basis Function Networks with Diversified Topologies

verfasst von : X. Hong, S. Chen, C. J. Harris

Erschienen in: System Identification, Environmental Modelling, and Control System Design

Verlag: Springer London

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Abstract

In this review we bring together some of our recent work from the angle of the diversified RBF topologies, including three different topologies; (i) the RBF network with tunable nodes; (ii) the Box-Cox output transformation based RBF network (Box-Cox RBF); and (iii) the RBF network with boundary value constraints (BVC-RBF). We show that the modified topologies have some advantages over the conventional RBF topology for specific problems. For each modified topology, the model construction algorithms have been developed. These proposed RBF topologies are respectively aimed at enhancing the modelling capabilities of; (i)flexible basis function shaping for improved model generalization with the minimal model;(ii) effectively handling some dynamical processes in which the model residuals exhibit heteroscedasticity; and (iii) achieving automatic constraints satisfaction so as to incorporate deterministic prior knowledge with ease. It is shown that it is advantageous that the linear learning algorithms, e.g. the orthogonal forward selection (OFS) algorithm based leave-one-out (LOO) criteria, are still applicable as part of the proposed algorithms.

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Vorheriges Kapitel Automatic Selection for Non-linear Models
Nächstes Kapitel Application of Filtering Methods for Removal of Resuscitation Artifacts from Human ECG Signals
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Metadaten
Titel
Construction of Radial Basis Function Networks with Diversified Topologies
verfasst von
X. Hong
S. Chen
C. J. Harris
Copyright-Jahr
2012
Verlag
Springer London
Buch
System Identification, Environmental Modelling, and Control System Design

Print ISBN: 978-0-85729-973-4

Electronic ISBN: 978-0-85729-974-1

Copyright-Jahr: 2012

DOI
https://doi.org/10.1007/978-0-85729-974-1_13

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