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A probabilistic theory of pattern recognition

Author: Luc Devroye; László Györfi; Gábor Lugosi
Publisher: New York : Springer, ©1996.
Series: Applications of mathematics, 31.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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,
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Luc Devroye; László Györfi; Gábor Lugosi
ISBN: 0387946187 9780387946184
OCLC Number: 33276839
Description: xv, 636 pages : illustrations ; 24 cm
Contents: Introduction --
The Bayes Error --
Inequalities and alternate distance measures --
Linear discrimination --
Nearest neighbor rules --
Consistency --
Slow rates of convergence --
Error estimation --
The regular histogram rule --
Kernel rules --
Consistency of the k-nearest neighbor rule --
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 resubstitution estimate --
Deleted estimates of the error probability --
Automatic kernel rules --
Automatic nearest neighbor rules --
Hypercubes and discrete spaces --
Epsilon entropy and totally bounded sets --
Uniform laws of large numbers --
Neural networks --
Other error estimates --
Feature extraction.
Series Title: Applications of mathematics, 31.
Responsibility: Luc Devroye, László Györfi, Gábor Lugosi.
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Abstract:

A self-contained and coherent account of probabilistic techniques, covering: distance measures, kernel rules, nearest neighbour rules, Vapnik-Chervonenkis theory, parametric classification, and  Read more...

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Primary Entity<\/h3>\n
<http:\/\/www.worldcat.org\/oclc\/33276839<\/a>> # A probabilistic theory of pattern recognition<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:CreativeWork<\/a>, schema:Book<\/a> ;\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"33276839<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/nyu<\/a>> ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/dbpedia.org\/resource\/New_York_City<\/a>> ; # New York<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/dewey.info\/class\/003.52015192\/e20\/<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/probabilities<\/a>> ; # Probabilities<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Meeting\/deutsche_arbeitsgemeinschaft_fur_mustererkennung<\/a>> ; # Deutsche Arbeitsgemeinschaft f\u00FCr Mustererkennung<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/wahrscheinlichkeitstheorie<\/a>> ; # Wahrscheinlichkeitstheorie<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/error_analysis_mathematics<\/a>> ; # Error analysis (Mathematics)<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/probabilites<\/a>> ; # Probabilit\u00E9s<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/31_70_probability<\/a>> ; # 31.70 probability<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/waarschijnlijkheidstheorie<\/a>> ; # Waarschijnlijkheidstheorie<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/nonparametric_statistics<\/a>> ; # Nonparametric statistics<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/mustererkennung<\/a>> ; # Mustererkennung<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/patroonherkenning<\/a>> ; # Patroonherkenning<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/inteligencia_artificial<\/a>> ; # Intelig\u00EAncia artificial<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/reconhecimento_de_padroes<\/a>> ; # Reconhecimento de padr\u00F5es<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/perception_des_structures<\/a>> ; # Perception des structures<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/pattern_perception<\/a>> ; # Pattern perception<\/span>\n\u00A0\u00A0\u00A0\nschema:bookFormat<\/a> bgn:PrintBook<\/a> ;\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/viaf.org\/viaf\/10075593<\/a>> ; # G\u00E1bor Lugosi<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/viaf.org\/viaf\/14999134<\/a>> ; # L\u00E1szl\u00F3 Gy\u00F6rfi<\/span>\n\u00A0\u00A0\u00A0\nschema:copyrightYear<\/a> \"1996<\/span>\" ;\u00A0\u00A0\u00A0\nschema:creator<\/a> <http:\/\/viaf.org\/viaf\/71457831<\/a>> ; # Luc Devroye<\/span>\n\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"1996<\/span>\" ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"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.<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"Introduction -- The Bayes Error -- Inequalities and alternate distance measures -- Linear discrimination -- Nearest neighbor rules -- Consistency -- Slow rates of convergence -- Error estimation -- The regular histogram rule -- Kernel rules -- Consistency of the k-nearest neighbor rule -- 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 resubstitution estimate -- Deleted estimates of the error probability -- Automatic kernel rules -- Automatic nearest neighbor rules -- Hypercubes and discrete spaces -- Epsilon entropy and totally bounded sets -- Uniform laws of large numbers -- Neural networks -- Other error estimates -- Feature extraction.<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"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.<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:exampleOfWork<\/a> <http:\/\/worldcat.org\/entity\/work\/id\/10678306812<\/a>> ;\u00A0\u00A0\u00A0\nschema:inLanguage<\/a> \"en<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isPartOf<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Series\/applications_of_mathematics_stochastic_modelling_and_applied_probability<\/a>> ; # Applications of mathematics. Stochastic modelling and applied probability ;<\/span>\n\u00A0\u00A0\u00A0\nschema:isPartOf<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Series\/applications_of_mathematics<\/a>> ; # Applications of mathematics ;<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"A probabilistic theory of pattern recognition<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:productID<\/a> \"33276839<\/span>\" ;\u00A0\u00A0\u00A0\nschema:publication<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/33276839#PublicationEvent\/new_york_springer_1996<\/a>> ;\u00A0\u00A0\u00A0\nschema:publisher<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Agent\/springer<\/a>> ; # Springer<\/span>\n\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/catdir.loc.gov\/catdir\/enhancements\/fy0815\/95044633-t.html<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/swbplus.bsz-bw.de\/bsz052262723cov.htm<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/www.gbv.de\/dms\/goettingen\/189866837.pdf<\/a>> ;\u00A0\u00A0\u00A0\nschema:workExample<\/a> <http:\/\/worldcat.org\/isbn\/9780387946184<\/a>> ;\u00A0\u00A0\u00A0\numbel:isLike<\/a> <http:\/\/d-nb.info\/947665293<\/a>> ;\u00A0\u00A0\u00A0\numbel:isLike<\/a> <http:\/\/bnb.data.bl.uk\/id\/resource\/GB9648266<\/a>> ;\u00A0\u00A0\u00A0\nwdrs:describedby<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/33276839<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Meeting\/deutsche_arbeitsgemeinschaft_fur_mustererkennung<\/a>> # Deutsche Arbeitsgemeinschaft f\u00FCr Mustererkennung<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:Meeting<\/a>, schema:Event<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Deutsche Arbeitsgemeinschaft f\u00FCr Mustererkennung<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Series\/applications_of_mathematics<\/a>> # Applications of mathematics ;<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:PublicationSeries<\/a> ;\u00A0\u00A0\u00A0\nschema:hasPart<\/a> <http:\/\/www.worldcat.org\/oclc\/33276839<\/a>> ; # A probabilistic theory of pattern recognition<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"Applications of mathematics ;<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/inteligencia_artificial<\/a>> # Intelig\u00EAncia artificial<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Intelig\u00EAncia artificial<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/mustererkennung<\/a>> # Mustererkennung<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Mustererkennung<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/nonparametric_statistics<\/a>> # Nonparametric statistics<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Nonparametric statistics<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/patroonherkenning<\/a>> # Patroonherkenning<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Patroonherkenning<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/pattern_perception<\/a>> # Pattern perception<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Pattern perception<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/perception_des_structures<\/a>> # Perception des structures<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Perception des structures<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Perception des structures<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/probabilites<\/a>> # Probabilit\u00E9s<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Probabilit\u00E9s<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Probabilit\u00E9s<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/probabilities<\/a>> # Probabilities<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Probabilities<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/reconhecimento_de_padroes<\/a>> # Reconhecimento de padr\u00F5es<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Reconhecimento de padr\u00F5es<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/waarschijnlijkheidstheorie<\/a>> # Waarschijnlijkheidstheorie<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Waarschijnlijkheidstheorie<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/10678306812#Topic\/wahrscheinlichkeitstheorie<\/a>> # Wahrscheinlichkeitstheorie<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Wahrscheinlichkeitstheorie<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.loc.gov\/vocabulary\/countries\/nyu<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\ndcterms:identifier<\/a> \"nyu<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/10075593<\/a>> # G\u00E1bor Lugosi<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Lugosi<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"G\u00E1bor<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"G\u00E1bor Lugosi<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/14999134<\/a>> # L\u00E1szl\u00F3 Gy\u00F6rfi<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Gy\u00F6rfi<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"L\u00E1szl\u00F3<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"L\u00E1szl\u00F3 Gy\u00F6rfi<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/71457831<\/a>> # Luc Devroye<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Devroye<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Luc<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Luc Devroye<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/isbn\/9780387946184<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:ProductModel<\/a> ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"0387946187<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"9780387946184<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/title\/-\/oclc\/33276839<\/a>>\u00A0\u00A0\u00A0\u00A0a \ngenont:InformationResource<\/a>, genont:ContentTypeGenericResource<\/a> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/www.worldcat.org\/oclc\/33276839<\/a>> ; # A probabilistic theory of pattern recognition<\/span>\n\u00A0\u00A0\u00A0\nschema:dateModified<\/a> \"2020-11-23<\/span>\" ;\u00A0\u00A0\u00A0\nvoid:inDataset<\/a> <http:\/\/purl.oclc.org\/dataset\/WorldCat<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n