A Probabilistic Theory of Pattern Recognition (Stochastic Modelling and Applied Probability v. 31 1st ed. 1996. Corr. 2nd printing 1997)

A Probabilistic Theory of Pattern Recognition (Stochastic Modelling and Applied Probability v. 31 1st ed. 1996. Corr. 2nd printing 1997)

By: Laszlo Gyorfi (author), Luc Devroye (author), Gabor Lugosi (author)Hardback

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Description

A self-contained and coherent account of probabilistic techniques, covering: distance measures, kernel rules, nearest neighbour rules, Vapnik-Chervonenkis theory, parametric classification, and feature extraction. Each chapter concludes with problems and exercises to further the readers understanding. Both research workers and graduate students will benefit from this wide-ranging and up-to-date account of a fast- moving field.

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Contents

Preface * Introduction * The Bayes Error * Inequalities and alternatedistance measures * Linear discrimination * Nearest neighbor rules *Consistency * Slow rates of convergence Error estimation * The regularhistogram rule * Kernel rules Consistency of the k-nearest neighborrule * Vapnik-Chervonenkis theory * Combinatorial aspects of Vapnik-Chervonenkis theory * Lower bounds for empirical classifier selection* The maximum likelihood principle * Parametric classification *Generalized linear discrimination * Complexity regularization *Condensed and edited nearest neighbor rules * Tree classifiers * Data-dependent partitioning * Splitting the data * The resubstitutionestimate * Deleted estimates of the error probability * Automatickernel rules * Automatic nearest neighbor rules * Hypercubes anddiscrete spaces * Epsilon entropy and totally bounded sets * Uniformlaws of large numbers * Neural networks * Other error estimates *Feature extraction * Appendix * Notation * References * Index

Product Details

  • publication date: 01/06/1996
  • ISBN13: 9780387946184
  • Format: Hardback, Paperback
  • Number Of Pages: 653
  • ID: 9780387946184
  • weight: 1094
  • ISBN10: 0387946187
  • edition: 1st ed. 1996. Corr. 2nd printing 1997

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