The Nature of Statistical Learning Theory

  • Vladimir N. Vapnik

Table of contents

  1. Front Matter
    Pages i-xix
  2. Vladimir N. Vapnik
    Pages 17-34
  3. Vladimir N. Vapnik
    Pages 35-68
  4. Vladimir N. Vapnik
    Pages 123-180
  5. Vladimir N. Vapnik
    Pages 181-224
  6. Vladimir N. Vapnik
    Pages 225-265
  7. Vladimir N. Vapnik
    Pages 267-290
  8. Vladimir N. Vapnik
    Pages 291-299
  9. Back Matter
    Pages 301-314

About this book

Introduction

The aim of this book is to discuss the fundamental ideas which lie behind the statistical theory of learning and generalization. It considers learning as a general problem of function estimation based on empirical data. Omitting proofs and technical details, the author concentrates on discussing the main results of learning theory and their connections to fundamental problems in statistics. These include: * the setting of learning problems based on the model of minimizing the risk functional from empirical data * a comprehensive analysis of the empirical risk minimization principle including necessary and sufficient conditions for its consistency * non-asymptotic bounds for the risk achieved using the empirical risk minimization principle * principles for controlling the generalization ability of learning machines using small sample sizes based on these bounds * the Support Vector methods that control the generalization ability when estimating function using small sample size. The second edition of the book contains three new chapters devoted to further development of the learning theory and SVM techniques. These include: * the theory of direct method of learning based on solving multidimensional integral equations for density, conditional probability, and conditional density estimation * a new inductive principle of learning. Written in a readable and concise style, the book is intended for statisticians, mathematicians, physicists, and computer scientists. Vladimir N. Vapnik is Technology Leader AT&T Labs-Research and Professor of London University. He is one of the founders of

Keywords

Conditional probability Statistical Learning Statistical Theory cognition control learning pattern recognition statistics

Authors and affiliations

  • Vladimir N. Vapnik
    • 1
  1. 1.Room 3-130AT&T Labs-ResearchRed BankUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-3264-1
  • Copyright Information Springer-Verlag New York 2000
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-3160-3
  • Online ISBN 978-1-4757-3264-1
  • Series Print ISSN 1613-9011
  • About this book