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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. This work may not be translated or copied in whole or in part without the written permission of the publisher(Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connectionwith reviews or scholarly analysis.

cerpts from an earlier textbook, Neural Networks for Pattern Recognition (Bishop, 1995a). The images of the Mark 1 perceptron and of Frank Rosenblatt are repro-duced with the permission of Arvin Calspan Advanced Technology Center. I would also like to thank Asela Gunawardana for plotting the spectrogram in Figure 13.1,

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