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Pattern Recognition and Machine Learning

Christopher M. BishopPattern Recognition andMachine LearningChristopher M. Bishop DirectorMicrosoft Research LtdCambridge CB3 0FB, cmbishopSeries EditorsMichael JordanDepartment of ComputerScience and Departmentof StatisticsUniversity of California,BerkeleyBerkeley, CA 94720 USAP rofessor Jon KleinbergDepartment of ComputerScienceCornell UniversityIthaca, NY 14853 USAB ernhard Scho lkopfMax Planck Institute forBiological CyberneticsSpemannstrasse 3872076 Tu bingenGermanyLibrary of Congress Control Number: 2006922522 ISBN-10: 0-387-31073-8 ISBN-13: 978-0387-31073-2 Printed on acid-free paper. 2006 Springer Science+Business Media, LLCAll rights reserved.

Preface Pattern recognition has its origins in engineering, whereas machine learning grew out of computer science. However, these activities can be viewed as two facets of

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