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neural network learning theoretical foundations
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This is one of the most classical books on statistical learning theory.
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Neural Network Learning:
Theoretical Foundations
This book describes recent theoretical advances in the study of artificial
neural networks. It explores probabilistic models of supervised learning
problems, and addresses the key statistical and computational
questions. Research on pattern classification with binary-output
networks is surveyed, including a discussion of the relevance of the
Vapnik-Chervonenkis dimension. Estimates of this dimension are
calculated for several neural network models. A model of classification by
real-output networks is developed, and the usefulness of classification
with a large margin is demonstrated. The authors explain the role of
scale-sensitive versions of the Vapnik-Chervonenkis dimension in large
margin classification, and in real estimation. They also discuss the
computational complexity of neural network learning, describing a
variety of hardness results, and outlining two efficient constructive
learning algorithms. The book is self-contained and is intended to be
accessible to researchers and graduate students in computer science,
engineering, and mathematics.
Martin Anthony is Reader in Mathematics and Executive Director of
the Centre for Discrete and Applicable Mathematics at the London
School of Economics and Political Science.
Peter Bartlett is a Senior Fellow st the Research School of Information
Sciences and Engineering at the Australian National University.
Neural Network Learning:
Theoretical Foundations
Martin Anthony and Peter L. Bartlett
CAMBRIDGE
UNIVERSITY PRESS
CAMBRIDGE UNIVERSITY PRESS
Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, Sao Paulo, Delhi
Cambridge University Press
The Edinburgh Building, Cambridge CB2 8RU, UK
Published in the United States of America by Cambridge University Press, New York
www. Cambridge. org
Information on this title: www.cambridge.org/9780521118620
© Cambridge University Press 1999
This publication is in copyright. Subject to statutory exception
and to the provisions of relevant collective licensing agreements,
no reproduction of
any
part may take place without the written
permission of Cambridge University Press.
First published 1999
Reprinted
2001,
2002
This digitally printed version 2009
A
catalogue
record for
this publication
is available from
the British Library
Library of
Congress Cataloguing
in
Publication
data
Anthony, Martin.
Learning in neural networks : theoretical foundations /
Martin Anthony and Peter L. Bartlett.
p.
cm.
Includes bibliographical references.
ISBN 0 521 57353 X (hardcover)
1.
Neural networks (Computer science). I. Bartlett, Peter L.,
1966-
. II. Title.
QA76.87.A58 1999
006.3'2-dc21 98-53260 CIP
ISBN 978-0-521-57353-5 hardback
ISBN 978-0-521-11862-0 paperback
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