ABSTRACT

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.

Foundations of Wavelet Networks and Applications unites these two fields in a comprehensive, integrated presentation of wavelets and neural networks. It begins by building a foundation, including the necessary mathematics. A transitional chapter on recurrent learning then leads to an in-depth look at wavelet networks in practice, examining important applications that include using wavelets as stock market trading advisors, as classifiers in electroencephalographic drug detection, and as predictors of chaotic time series. The final chapter explores concept learning and approximation by wavelet networks.

The potential of wavelet networks in engineering, economics, and social science applications is rich and still growing. Foundations of Wavelet Networks and Applications prepares and inspires its readers not only to help ensure that potential is achieved, but also to open new frontiers in research and applications.

part I|2 pages

I

chapter 1|38 pages

Mathematical Preliminaries

chapter 2|20 pages

Wavelets

chapter 3|46 pages

Neural Networks

chapter 4|20 pages

Wavelet Networks

part II|2 pages

II

chapter 5|16 pages

Recurrent Learning

chapter 6|10 pages

Separating Order from Disorder

chapter 7|16 pages

Radial Wavelet Neural Networks

chapter 8|34 pages

Predicting Chaotic Time Series

chapter 9|18 pages

Concept Learning

chapter 10|2 pages

Bibliography