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A. Gammerman - Computational Learning and Probabilistic Reasoning

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Providing a unified coverage of the latest research and applications methods and techniques, this book is devoted to two interrelated techniques for solving some important problems in machine intelligence and pattern recognition, namely probabilistic reasoning and computational learning. The contributions in this volume describe and explore the current developments in computer science and theoretical statistics which provide computational probabilistic models for manipulating knowledge found in industrial and business data. These methods are very efficient for handling complex problems in medicine, commerce and finance. Part I covers Generalisation Principles and Learning and describes several new inductive principles and techniques used in computational learning. Part II describes Causation and Model Selection including the graphical probabilistic models that exploit the independence relationships presented in the graphs, and applications of Bayesian networks to multivariate statistical analysis. Part III includes case studies and descriptions of Bayesian Belief Networks and Hybrid Systems. Finally, Part IV on Decision-Making, Optimization and Classification describes some related theoretical work in the field of probabilistic reasoning. Statisticians, IT strategy planners, professionals and researchers with interests in learning, intelligent databases and pattern recognition and data processing for expert systems will find this book to be an invaluable resource. Real-life problems are used to demonstrate the practical and effective implementation of the relevant algorithms and techniques.

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title Computational Learning and Probabilistic Reasoning author - photo 1

title:Computational Learning and Probabilistic Reasoning
author:Gammerman, A.
publisher:John Wiley & Sons, Ltd. (UK)
isbn10 | asin:0471962791
print isbn13:9780471962793
ebook isbn13:9780585354149
language:English
subjectComputational learning theory, Machine learning.
publication date:1996
lcc:Q325.7.C66 1996eb
ddc:006.3/1
subject:Computational learning theory, Machine learning.
Page iii
Computational Learning and Probabilistic Reasoning
Edited by
A. Gammerman
Royal Holloway, University of London
Page iv Copyright 1996 by John Wiley Sons Ltd Baffins Lane Chichester - photo 2
Page iv
Copyright 1996 by John Wiley & Sons Ltd,
Baffins Lane, Chichester,
West Sussex PO19 IUD, England
National 01243 779777
International (+44) 1243 779777
All rights reserved.
No part of this book may be reproduced by any means, or transmitted, or translated into a machine language without the written permission of the publisher.
Other Wiley Editorial Offices
John Wiley & Sons, Inc., 605 Third Avenue,
New York, NY 10158-0012, USA
Jacaranda Wiley Ltd, 33 Park Road, Milton,
Queensland 4064, Australia
John Wiley & Sons (Canada) Ltd, 22 Worcester Road,
Rexdale, Ontario M9W 1L1, Canada
John Wiley & Sons (Asia) Pte Ltd, 2 Clementi Loop #02-01,
Jin Xing Distripark, Singapore 0512
British Library Cataloguing in Publication Data
A catalogue record for this book is available from the British Library
ISBN 0 471 96279 1
Produced from camera-ready copy supplied by the authors
Printed and bound in Great Britain by Bookcraft (Bath) Ltd
This book is printed on acid-free paper responsibly manufactured from sustainable forestation, for which at least two trees are planted for each one used for paper production.
Page v
CONTENTS
Preface
xiii
List of Figures
xvii
List of Tables
xxi
List of Contributors
xxiii
I
Generalisation Principles and Learning
1
1
Structure of Statistical Learning Theory
V. Vapnik
3
Picture 3
1.1 Function Estimation Model
3
Picture 4
1.2 Problem of Risk Minimization
4
Picture 5
1.3 Three Main Learning Problems
4
Picture 6
1.3.1 The Problem of Pattern Recognition
4
Picture 7
1.3.2 The Problem of Regression Estimation
5
Picture 8
1.3.3 The Problem of Density Estimation
5
Picture 9
1.3.4 The General Setting of the Learning Problem
5
Picture 10
1.4 Empirical Risk Minimization Induction Principle
6
Picture 11
1.5 Four Parts of Learning Theory
6
Picture 12
1.6 Theory of Consistency of the Learning Processes
7
Picture 13
1.6.1 The Key Assertion of the Learning Theory
7
Picture 14
1.6.2 The Necessary and Sufficient Conditions for Uniform Convergence
8
Picture 15
1.6.3 Three Milestones of Learning Theory
9
Picture 16
1.7 Bounds for the Rate or Convergence of the Learning Processes
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