Geometric Data Analysis

An Empirical Approach to Dimensionality Reduction and the Study of Patterns

Michael Kirby (Autor)

Buch | Hardcover

384 Seiten

2001
Wiley-Interscience (Verlag)
978-0-471-23929-1 (ISBN)

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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.

MICHAEL KIRBY is a professor in the Department of Mathematics at Colorado State University in Fort Collins, Colorado. He has worked in the field of data reduction for well over a decade.

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.

Erscheint lt. Verlag	29.1.2001
Sprache	englisch
Maße	164 x 245 mm
Gewicht	680 g
Themenwelt	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Technik ► Elektrotechnik / Energietechnik
ISBN-10	0-471-23929-1 / 0471239291
ISBN-13	978-0-471-23929-1 / 9780471239291
Zustand	Neuware