Foundations of Wavelet Networks and Applications

Hardcover (Print)
Buy New
Buy New from BN.com
$107.67
Used and New from Other Sellers
Used and New from Other Sellers
from $107.94
Usually ships in 1-2 business days
(Save 10%)
Other sellers (Hardcover)
  • All (4) from $107.94   
  • New (3) from $107.94   
  • Used (1) from $149.09   

Overview

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.

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.

Read More Show Less

Editorial Reviews

From The Critics
Wavelet networks merges the disciplines of wavelet theory and neural networks. This book builds a mathematical and conceptual framework for understanding wavelets and neural networks, then looks at wavelet networks in practice, examining applications of wavelets in stock market trading, electroencephalographic drug detection, and chaotic time series. A final chapter explores concept learning and approximation by wavelet networks. Chapter exercises are included. The book is appropriate for students and professionals in math, computer science, electrical engineering, and physics. Iyengar teaches in the Computer Science Department at Louisiana State University. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Read More Show Less

Product Details

  • ISBN-13: 9781584882749
  • Publisher: Taylor & Francis
  • Publication date: 6/27/2002
  • Pages: 288
  • Product dimensions: 6.30 (w) x 9.30 (h) x 0.90 (d)

Table of Contents

PART A
MATHEMATICAL PRELIMINARIES
Sets
Functions
Sequences and Series
Complex Numbers
Linear Spaces
Matrices
Hilbert Spaces
Topology
Measure and Integral
Fourier Series
Exercises
WAVELETS
Introduction
Dilation and Translation
Inner Product
Haar Wavelet
Multiresolution Analysis
Continuous Wavelet Transform
Discrete Wavelet Transform
Fourier Transform
Discrete Fourier Transform
Discrete Fourier Transform of Finite Sequences
Convolution
Exercises
NEURAL NETWORKS
Introduction
Multilayer Perceptrons
Hebbian Learning
Competitive and Kohonen Networks
Recurrent Neural Networks
WAVELET NETWORKS
Introduction
What Are Wavelet Networks
Dyadic Wavelet Network
Theory of Wavelet Networks
Wavelet Network Structure
Multidimensional Wavelets
Learning in Wavelet Networks
Initialization of Wavelet Networks
Properties of Wavelet Networks
Scaling at Higher Dimensions
Exercises

PART B
RECURRENT LEARNING
Introduction
Recurrent Neural Networks
Recurrent Wavenets
Numerical Experiments
Concluding Remarks
Exercises
SEPARATING ORDER FROM DISORDER
Order Within Disorder
Wavelet Networks: Trading Advisors
Comparison Results
Conclusions
Exercises
RADIAL WAVELET NEURAL NETWORKS
Introduction
Data Description and Preparation
Classification Systems
Results
Conclusions
Exercises
PREDICTING CHAOTIC TIME SERIES
Introduction
Nonlinear Prediction
Wavelet Networks
Short-Term Prediction
Parameter-Varying Systems
Long-Term Prediction
Conclusions
Acknowledgements
Appendix
Exercises
CONCEPT LEARNING
An Overview
An Illustrative Example of Learning
Introduction
Preliminaries
Learning Algorithms
Summary
Exercises
BIBLIOGRAPHY
INDEX

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)