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

ISBN: 978-0-471-23929-1
Hardcover
384 pages
January 2001
List Price: US $147.75
Government Price: US $98.52
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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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