Geometric Data Analysis
Geometric Data Analysis
An Empirical Approach to Dimensionality Reduction and the Study of Patterns
Kirby, Michael
John Wiley & Sons Inc
01/2001
384
Dura
Inglês
9780471239291
15 a 20 dias
752
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.
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.