Cover
Frontmatter
Half Title Page
Title Page
Copyright
Dedication
Table of Contents
Preface
Acknowledgments
Chapter 1: Introduction
1.1 Formulation of Pattern Recognition Problems
1.2 Process of Classifier Design
Notation 1
References 1
Chapter 2: Random Vectors and Their Properties
2.1 Random Vectors and Their Distributions
2.2 Estimation of Parameters
2.3 Linear Transformation
2.4 Various Properties of Eigenvalues and Eigenvectors
Computer Projects 2
Problems 2
References 2
Chapter 3: Hypothesis Testing
3.1 Hypothesis Tests for Two Classes
3.2 Other Hypothesis Tests
3.3 Error Probability in Hypothesis Testing
3.4 Upper Bounds on the Bayes Error
3.5 Sequential Hypothesis Testing
Computer Projects 3
Problems 3
References 3
Chapter 4: Parametric Classifiers
4.1 The Bayes Linear Classifier
4.2 Linear Classifier Design
4.3 Quadratic Classifier Design
4.4 Other Classifiers
Computer Projects 4
Problems 4
References 4
Chapter 5: Parameter Estimation
5.1 Effect of Sample Size in Estimation
5.2 Estimation of Classification Errors
5.3 Holdout, Leave-One-Out, and Resubstitution Methods
5.4 Bootstrap Methods
Computer Projects 5
Problems 5
References 5
Chapter 6: Nonparametric Density Estimation
6.1 Parzen Density Estimate
6.2 k Nearest Neighbor Density Estimate
6.3 Expansion by Basis Functions
Computer Projects 6
Problems 6
References 6
Chapter 7: Nonparametric Classification and Error Estimation
7.1 General Discussion
7.2 Voting kNN Procedure - Asymptotic Analysis
7.3 Voting kNN Procedure - Finite Sample Analysis
7.4 Error Estimation
7.5 Miscellaneous Topics in the kNN Approach
Computer Projects 7
Problems 7
References 7
Chapter 8: Successive Parameter Estimation
8.1 Successive Adjustment of a Linear Classifier
8.2 Stochastic Approximation
8.3 Successive Bayes Estimation
Computer Projects 8
Problems 8
References 8
Chapter 9: Feature Extraction and Linear Mapping for Signal Representation
9.1 The Discrete Karhunen-Love Expansion
9.2 The Karhunen-Love Expansion for Random Processes
9.3 Estimation of Eigenvalues and Eigenvectors
Computer Projects 9
Problems 9
References 9
Chapter 10: Feature Extraction and Linear Mapping for Classification
10.1 General Problem Formulation
10.2 Discriminant Analysis
10.3 Generalized Criteria
10.4 Nonparametric Discriminant Analysis
10.5 Sequential Selection of Quadratic Features
10.5 Feature Subset Selection
Computer Projects 10
Problems 10
References 10
Chapter 11: Clustering
11.1 Parametric Clustering
11.2 Nonparametric Clustering
11.3 Selection of Representatives
Computer Projects 11
Problems 11
References 11
Backmatter
Appendix A: Derivatives of Matrices
Appendix B: Mathematical Formulas
Appendix C: Normal Error Table
Appendix D: Gamma Function Table
Index
About the Author
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