Radial Basis Function Networks

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Software Software

Matlab Functions for Radial Basis Function Networks (1999)
(Version 2.2) Implements a variety of methods based on subset selection and ridge regression to control model complexity and regression trees to generate RBF centres and radii. Includes a comprehensive manual, demos of the methods and examples of how to run them.

Matlab Routines for Linear Neural Networks (1996)
Older version of the software package. Implements methods based on subset selection and ridge regression (local and global versions). No longer supported.

Papers Papers

Assessing RBF Networks Using DELVE
Submitted to IJNS, July 1999. Accepted, February 2000.

Combining Regression Trees and RBFs
Submitted to IJNS, July 1999. Accepted, September 2000.

Optimising the Widths of RBFs
Fifth Brazilian Symposium on Neural Networks, Belo Horizonte, Brazil, 1998

An EM Algorithm for Regularised RBF Networks
International Conference on Neural Networks and Brain, Beijing, China, 1998

Regularisation in the Selection of RBF Centres
Neural Computation, 7(3):606-623, 1995

Local Smoothing of RBF Networks
International Symposium on Artificial Neural Networks, Hsinchu, Taiwan, 1995

Technical Reports Technical Reports

Recent Advances in Radial Basis Function Networks (1999)
Covers developments from 1996 to 1999: maximum marginal likelihood, optimisation of RBF size and regression trees to generate RBFs centres and radii.

Introduction to Radial Basis Function Networks (1996)
Describes the theory behind forward selection, ridge regression and model selection criteria in the context of radial basis function networks for nonparametric regression.

Industrial Reports Industrial Reports

Business Time in the Foreign Exchange Markets
An RBF network is used to model "business time" in various currency markets, as world wide activity varies in response to such events as lunchtime in Tokyo.

Extrapolating Uncertain Bond Yield Predictions
An RBF network plays a role in extrapolating short and medium term predictions of return into an entire yield curve for several types of government bonds.

The refmix Data Set
A small data set provided by a chemical engineering company is modelled by an RBF network. The results are compared to polynomial models.

Formats File Formats

The Matlab software is available in two formats: .zip for Windows and .tar.gz for Unix. If you're on Windows and have WinZip then it doesn't matter which you download - it can handle either, while if you're on Unix gunzip can decompress .gz and tar will do the rest. All text files (primarily Matlab m-files) have Unix style newlines which Matlab under Windows is quite happy with (but some text editors are not).

If you don't already have one, you can obtain a free PostScript viewer for the software manual, technical reports and papers. All PostScript files are available raw (.ps) or compressed with gzip (.ps.gz).

Here is a complete list of titles, file names and approximate sizes in KB.

Software
Matlab Functions for RBF Networks rbf2.zip 377
rbf2.tar.gz 353
Matlab Routines for Linear Neural Networks rbf.zip 384
rbf.tar.gz 375
Papers
Assessing RBF Networks Using DELVE delve99.ps 698
delve99.ps.gz 129
Combining Regression Trees and RBFs rt99.ps 538
rt99.ps.gz 109
Optimising the Widths of RBFs bsnn98.ps 337
bsnn98.ps.gz 17
An EM Algorithm for Regularised RBF Networks icnnb98.ps 310
icnnb98.ps.gz 66
Regularisation in the Selection of RBF Centres nrlcmp95.ps 490
nrlcmp95.ps.gz 112
Local Smoothing of RBF Networks isann95.ps 329
isann95.ps.gz 69
Technical Reports
Recent Advances in RBF Networks recad.ps 729
recad.ps.gz 145
Introduction to RBF Networks intro.ps 1080
intro.ps.gz 230
Industrial Reports
Business Time in the Foreign Exchange Markets bzw97.ps 2100
bzw97.ps.gz 452
Extrapolating Uncertain Bond Yield Predictions ppl97.ps 7403
ppl97.ps.gz 768
The refmix Data Set pcl97.ps 1651
pcl97.ps.gz 380