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

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Overview

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

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
Pages: 384
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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