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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
Back Cover
Introduction to Statistical Pattern Recogni-tion % % Second Edition 0 0 0 0 0 n
Keinosuke Fukunaga Introduction to Stas-tical Pattern Recognit ion Second Edition This completely revised second edition presents an introduction to statistical pat- tern recognition. Pattern recognition in general covers a wide range of problems: it is applied to engineering problems, such as character readers and wave form analysis, as well as to brain modeling in biology and psychology. Statistical decision and estima- tion, which are the main subjects of this book, are regarded as fimdamental to the study of pattern recognition. This book is appropriate as a text for introductory courses in pattern recognition and as a ref- erence book for people who work in the field. Each chapter also contains computer projects as well as exercises.
Introduction to Statistical Pattern Recognition Second Edition
This is a volume in COMPUTER SCIENCE AND SCIENTIFIC COMPUTING Editor: WERNER RHEINBOLDT
Introduction to Statistical Pattern Recognition Second Edition Keinosuke F'ukunaga School of Electrical Engineering Purdue University West Lafa yet te, Indiana M K4 Morgan K.ufmu\n is an imprint of Academic Rars A H a m r t SaenccandTechlndogyCompony San Diego San Francisco New York Boston London Sydney Tokyo
This book is printed on acid-free paper. 8 Copyright 0 1990 by Academic Press All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system. without permission in writing from the publisher. ACADEMIC PRESS A Harcourt Science and Technology Company 525 B Street, Suite 1900, San Diego, CA 92101-4495 USA h ttp://www.academicpress.com Academic Press 24-28 Oval Road, London N W 1 7DX United Kingdom h tt p:/lwww. hbuWap/ Morgan Kaufmann 340 Pine Street, Sixth Floor, San Francisco, CA 94104-3205 http://mkp.com Library of Congress Cataloging-in-Publication Data Fukunaga. Keinosuke. Fukunaga. - 2nd ed. Introduction to statistical pattern recognition I Keinosuke p, cm. Includes bibliographical references. ISBN 0-12-269851-7 1. Pattern perception - Statistical methods. 2. Decision-making - - Mathematical models. 3. Mathematical statistics. I. Title. 0327.F85 1990 006.4 - dc20 89-18195 CIP PRINTF.D M THE UNITED STATES OF AMEIUCA 03 9
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