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  • A Probabilistic Theory of Pattern Recognition (Stochastic Modelling and Applied Probability)

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A Probabilistic Theory of Pattern Recognition (Stochastic Modelling and Applied Probability)

4.7 out of 5 stars (10)

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Pattern recognition presents one of the most significant challenges for scientists and engineers, and many different approaches have been proposed. The aim of this book is to provide a self-contained account of probabilistic analysis of these approaches. The book includes a discussion of distance measures, nonparametric methods based on kernels or nearest neighbors, Vapnik-Chervonenkis theory, epsilon entropy, parametric classification, error estimation, free classifiers, and neural networks. Wherever possible, distribution-free properties and inequalities are derived. A substantial portion of the results or the analysis is new. Over 430 problems and exercises complement the material.
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From the Back Cover

Pattern recognition presents one of the most significant challenges for scientists and engineers, and many different approaches have been proposed. The aim of this book is to provide a self-contained account of probabilistic analysis of these approaches. The book includes a discussion of distance measures, nonparametric methods based on kernels or nearest neighbors, Vapnik-Chervonenkis theory, epsilon entropy, parametric classification, error estimation, tree classifiers, and neural networks. Wherever possible, distribution-free properties and inequalities are derived. A substantial portion of the results or the analysis is new. Over 430 problems and exercises complement the material.

Product details

  • Publisher ‏ : ‎ Springer
  • Publication date ‏ : ‎ April 4, 1996
  • Edition ‏ : ‎ Corrected
  • Language ‏ : ‎ English
  • Print length ‏ : ‎ 653 pages
  • ISBN-10 ‏ : ‎ 0387946187
  • ISBN-13 ‏ : ‎ 978-0387946184
  • Item Weight ‏ : ‎ 2.43 pounds
  • Dimensions ‏ : ‎ 6.49 x 1.6 x 9.55 inches
  • Part of series ‏ : ‎ Stochastic Modelling and Applied Probability
  • Best Sellers Rank: #3,037,516 in Books (See Top 100 in Books)
  • Customer Reviews:
    4.7 out of 5 stars (10)

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4.7 out of 5 stars
10 global ratings
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Top reviews from the United States

  • 5 out of 5 stars
    Everything's here, but it requires work to fully understand
    Reviewed in the United States on March 23, 2012
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    My advisor calls this "the big yellow book" of pattern recognition. This book is comprehensive, unabashedly theoretical, and requires a solid foundation in (preferably measure-theoretic) probability. But with that background, what a feast this book represents! A complete proof of Stone's universal consistency for the nearest neighbor rule? Check, it's here. Bounds on classification error, both the Bayes' error and empirical error? Check, it's here. Error rate estimation techniques? Check, it's here. Arbitrarily slow convergence of a classification rule? Check, it's here. I could keep going, but the answer to whether most topics of theoretical interest are covered would be the same.

    The book admits in the preface that "some of the material may be a bit dry", but it is certainly worth the effort. You can't throw a stone very far in the pattern recognition / classification literature and not hit a paper by Devroye or one of his coauthors. The writing style is spare and sometimes they say volumes in a single sentence. Furthermore, the book is not intended to be read in a linear fashion. There is a great map for reading the various chapters (> 30) and how they are interrelated, which chapters need to be read before reading a subsequent chapter.

    I can't speak highly enough about this book. It's not an easy read, but it is worth any effort you are willing to put in to learn and understand the theory of pattern recognition. This book will not teach you how to build or tune a classifier, but rather how to understand the theoretical factors that one should consider when doing so.

    12 people found this helpful
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  • 5 out of 5 stars
    Best Available Book on Nonparametric Pattern Recognition
    Reviewed in the United States on October 17, 2012
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    I have taught Pattern Recognition for several years now, and my battered copy of DGL has been a loyal companion. I do not want to duplicate the previous reviews, but simply to add that this is a book on *nonparametric*, distribution-free methods in Pattern Recognition, the best one available by far on these methods. The authors clearly indicate all the strengths (e.g., universal consistency) and limitations (e.g., arbitrary slow convergence of universally consistent rules, Thm 7.2) of nonparametric methods. However, the authors entirely ignore (intentionally, no doubt) the considerable and distinguished body of literature on *parametric* pattern recognition techniques. For example, you will search in vain here for Linear Discriminant Analysis, or the work of very well-known names such as Anderson, Bowker, Sitgreaves, Raudys, McLachlan, etc. I do not feel that this is a "flaw" of the book, so that I still give it five stars. The book is already voluminous as is, and the authors made a choice on the material, to reflect their own interests and research backgrounds. But they selected a title for the book that may be misleading: this is not a book on all of Pattern Recognition, only on nonparametric, distribution-free methodology in Pattern Recognition. With that said, this is required reading for anyone seriously interested in the Pattern Recognition area.

    2 people found this helpful
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  • 5 out of 5 stars
    Great book
    Reviewed in the United States on October 23, 2024
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    I offers a formal analysis of different topics in machine learning which I haven't found in any other book but this.

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  • 4 out of 5 stars
    Lost of good information, proofs not very lucid
    Reviewed in the United States on May 5, 2012
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    This is the best monograph I have seen on statistical learning theory. It is appropriate for someone interested in the theoretical aspects of machine learning (specifically classification), I wouldn't recommend it as a practical guide. I found many of the proofs difficult to read, sometimes skipping more steps than I felt was reasonable.

    One person found this helpful
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  • 5 out of 5 stars
    Must have for machine learning / data mining students
    Reviewed in the United States on January 24, 2010
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    I am a machine learning/ data mining student and bought this because my advisor recommended it to me and this is my second favorite book after Christopher Bishop's Pattern Recognition and machine learning... !!!

    If i were wondering about some inequality, this book has it.

    if i want some sort of risk bounds this book has it. wow. i just skimmed through the contents lists and read parts but i am already a fan.

    probably not used in many courses (spanning: CMU, MIT, STANFORD, etc where machine learning is big) because this is more like a reference than a straight learning textbook.

    but THIS IS A GEM and a must have.

    BUY THIS!!!

    One person found this helpful
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Top reviews from other countries

  • 3 out of 5 stars
    Three Stars
    Reviewed in Canada on October 6, 2016
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    The book was damaged as received.

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