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Foundations of wavelet networks and applications

Author: S S Iyengar; E C Cho; Vir V Phoha
Publisher: Boca Raton, Fla. : Chapman & Hall/CRC, ©2002.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"Traditionally, neural networks and wavelet theory have been two separate disciplines, taught separately and practiced separately. In recent years the offspring of wavelet theory and neural networks - wavelet networks - have emerged and grown vigorously both in research and applications. Yet the material needed to learn or teach wavelet networks has remained scattered in various research monographs."
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: S S Iyengar; E C Cho; Vir V Phoha
ISBN: 1584882743 9781584882749
OCLC Number: 49558706
Description: 258 pages : illustrations ; 25 cm
Contents: Mathematical Preliminaries --
Sets --
Functions --
Sequences and Series --
Complex Numbers --
Linear Spaces --
Matrices --
Hilbert Spaces --
Topology --
Measure and Integral --
Fourier Series --
Wavelets --
Dilation and Translation --
Inner Product --
Haar Wavelet --
Multiresolution Analysis --
Continuous Wavelet Transform --
Discrete Wavelet Transform --
Fourier Transform --
Discrete Fourier Transform --
DFT of Finite Sequences --
Convolution --
Neural Networks --
McCulloch-Pitts Model of Neuron --
Optimal Network Structure --
Single Layer Perceptron --
Multilayer Perceptrons --
Adaptation Procedure of Rosenblatt --
Backpropagation Learning --
Hebbian Learning --
Hebb's Rule --
Hebbian Learning Applied to Multiple Input PEs --
Oja's Rule --
Sanger's Rule --
Principal Component Analysis (PCA) --
Anti-Hebbian Learning --
Competitive and Kohonen Networks --
Competitive Learning --
Kohonen Self-Organizing Map --
Grossberg's Instar-Outstar Network --
Adaptive Resonance Theory (ART) --
Recurrent Neural Networks --
Hopfield Networks --
Wavelet Networks --
What are Wavelet Networks? --
Dyadic Wavelet Network --
Theory of Wavelet Networks --
Wavelet Network Structure --
Wavelet Network Algorithm --
Multidimensional Wavelets --
Learning in Wavelet Networks --
Initialization of Wavelet Networks --
Properties of Wavelet Networks --
Scaling at Higher Dimensions --
Recurrent Learning --
Recurrent Neural Networks --
Neural Structures --
Learning Problems --
On-line Learning Approaches: Recurrent Backpropagation.
Responsibility: S. Sitharama Iyengar, E.C. Cho, Vir V. Phoha.
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Abstract:

Featues wavelets and neural networks. This book contains a chapter on recurrent learning that looks at wavelet networks in practice, examining important applications that include using wavelets as  Read more...

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"This book reviews both the theory of some kinds of wavelet networks and a number of applications . The book is self-contained, as it contains both some mathematical preliminaries and a review of Read more...

 
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