Geometric Data Analysis: An Empirical Approach to Dimensionality Reduction and the Study of Patterns / Edition 1

Geometric Data Analysis: An Empirical Approach to Dimensionality Reduction and the Study of Patterns / Edition 1

by Michael Kirby
     
 

ISBN-10: 0471239291

ISBN-13: 9780471239291

Pub. Date: 01/12/2001

Publisher: Wiley

This 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.

Overview

This 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.

Product Details

ISBN-13:
9780471239291
Publisher:
Wiley
Publication date:
01/12/2001
Edition description:
New Edition
Pages:
384
Sales rank:
1,183,041
Product dimensions:
6.46(w) x 9.65(h) x 0.91(d)

Table of Contents

Preface.

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.

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