Description
Book SynopsisThis book addresses the most efficient methods of pattern analysis using wavelet decomposition. Readers will learn to analyze data in order to emphasize the differences between closely related patterns and then categorize them in a way that is useful to system users.
Trade Review"...provides a valuable summary of data reduction." (Technometrics, May 2002)
"...effectively describes and summarizes an emerging new field, namely, scientific data modeling and analysis." (Mathematical Reviews, 2003h)
Table of ContentsPreface.
Acknowledgments.
INTRODUCTION.
Pattern Analysis as Data Reduction.
Vector Spaces and Linear Transformations.
OPTIMAL ORTHOGONAL PATTERN REPRESENTATIONS.
The Karhunen-Loève Expansion.
Additional Theory, Algorithms and Applications.
TIME, FREQUENCY AND SCALE ANALYSIS.
Fourier Analysis.
Wavelet Expansions.
ADAPTIVE NONLINEAR MAPPINGS.
Radial Basis Functions.
Neural Networks.
Nonlinear Reduction Architectures.
Appendix A Mathemetical Preliminaries.
References.
Index.
