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Geometric Data Analysis : An Empirical Approach to Dimensionality Reduction and the Study of Patterns - Michael Kirby

Geometric Data Analysis

An Empirical Approach to Dimensionality Reduction and the Study of Patterns

Hardcover Published: 12th January 2001
ISBN: 9780471239291
Number Of Pages: 384

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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.

"...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)

Preface.

Acknowledgments.

INTRODUCTION.

Pattern Analysis as Data Reduction.

Vector Spaces and Linear Transformations.

OPTIMAL ORTHOGONAL PATTERN REPRESENTATIONS.

The Karhunen-Loeve 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.

ISBN: 9780471239291
ISBN-10: 0471239291
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 384
Published: 12th January 2001
Country of Publication: US
Dimensions (cm): 24.5 x 16.4  x 2.31
Weight (kg): 0.67
Edition Number: 1