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Radial Basis Function Neural Networks with Sequential Learning : MRAN and Its Applications

MRAN and Its Applications

By: Ying Wei Lu, P Saratchandran, Narasimman Sundararajan

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Hardcover | 1 December 1998

At a Glance

Hardcover
232 Pages

Dimensions(cm)
22.23 x 15.88 x 1.91

Hardcover

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This book presents in detail the newly developed sequential learning algorithm for radial basis function neural networks, which realizes a minimal network. This algorithm, created by the authors, is referred to as minimal resource allocation networks (MRAN). The book describes the application of MRAN in different areas, including pattern recognition, time series prediction, system identification and signal processing. Benchmark problems from these areas have been studied, and MRAN is compared with other algorithms. In order to make the book self-contained, a review of the existing theory of RBF networks and applications is given at the beginning.

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Non-Fiction Computing & I.T.Computer Science Artificial Intelligence Neural Networks & Fuzzy Systems Science Booktopia Publisher Services World Scientific Publishing

Preface	p. xi
A Review of Radial Basis Function (RBF) Neural Networks	p. 1
An Overview	p. 1
Review of RBF Neural Networks	p. 3
Applications of RBF Neural Networks	p. 15
A Novel Sequential Learning Algorithm for Minimal Resource Allocation Neural Networks (MRAN)	p. 21
RANEKF Algorithm	p. 23
Problems with RANEKF	p. 26
Pruning Strategy	p. 30
Sliding Window RMS Criterion for Adding Hidden Neurons	p. 35
New Learning Algorithm for Minimal Resource Allocation Network	p. 37
MRAN for Function Approximation and Pattern Classification Problems	p. 41
RBF Neural Networks for Function Approximation	p. 41
Benchmark Problems for Function Approximation	p. 50
A Function of Summation for Six Exponential Functions	p. 50
Hermite Polynomial	p. 52
Benchmark Problems Used by The DI Algorithm	p. 60
Benchmark Problems from PROBEN1	p. 69
MRAN for Nonlinear Dynamic Systems	p. 79
MRAN for Time Series Prediction	p. 80
Chaotic Time Series Prediction--Mackey-Glass Series	p. 81
Prediction of Currency Exchange Rate	p. 85
MRAN for Nonlinear Signal Processing	p. 93
MRAN for System Identification	p. 99
System with Three Exponential Time Functions	p. 102
Nonlinear System Identification - Fixed Dynamics Case	p. 106
Nonlinear System Identification - Varying Dynamics Case	p. 112
Comparison of MRAN with On-line Structural Adaptive Hybrid Learning (ONSAHL) Algorithm	p. 115
MRAN for Communication Channel Equalization	p. 125
A Review of Channel Equalization	p. 125
Channel Equalization	p. 126
Equalization Methods	p. 129
MRAN for Equalization	p. 143
Background	p. 143
Linear Channel Equalization	p. 144
Non-Linear Channel Equalization	p. 160
Advantage of MRAN in comparison	p. 168
MRAN for Co-Channel Interference Equalization	p. 170
Co-Channel Interference Problem	p. 173
MRAN application for CCI	p. 179
Advantage of MRAN in comparison	p. 189
Concluding Remarks	p. 191
Outline Source Code for MRAN in MATLAB	p. 193
Bibliography	p. 205
Index	p. 213
Table of Contents provided by Syndetics. All Rights Reserved.

Radial Basis Function Neural Networks with Sequential Learning : MRAN and Its Applications

MRAN and Its Applications

At a Glance

Hardcover

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