Sinossi
At the first stage, until the middle of the 1970s, pattern recogni tion theory was replenished mainly from adjacent mathematical disciplines: mathe matical statistics, functional analysis, discrete mathematics, and information theory.
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Contenuti
Preface. 1. Probability Models of Data and Optimal Decision Rules. 2. Violations of Model Assumptions and Basic Notions in Decision Rule Robustness. 3. Robustness of Parametric Decision Rules and Small-Sample Effects. 4. Robustness of Nonparametric Decision Rules and Small-Sample Effects. 5. Decision Rule Robustness under Distortions of Observations to be Classified. 6. Decision Rule Robustness under Distortions of Training Samples. 7. Cluster Analysis under Distorted Model Assumptions. Bibliography. Index. Main Notations and Abbreviations.
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Book by Kharin Y
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Robustness in Statistical Pattern Recognition (Mathematics and Its Applications, 380)
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Robustness in Statistical Pattern Recognition
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Springer Netherlands Sep 1996, 1996
ISBN 10: 0792342674
ISBN 13: 9780792342670
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is concerned with important problems of robust (stable) statistical pat tern recognition when hypothetical model assumptions about experimental data are violated (disturbed). Pattern recognition theory is the field of applied mathematics in which prin ciples and methods are constructed for classification and identification of objects, phenomena, processes, situations, and signals, i. e. , of objects that can be specified by a finite set of features, or properties characterizing the objects (Mathematical Encyclopedia (1984)). Two stages in development of the mathematical theory of pattern recognition may be observed. At the first stage, until the middle of the 1970s, pattern recogni tion theory was replenished mainly from adjacent mathematical disciplines: mathe matical statistics, functional analysis, discrete mathematics, and information theory. This development stage is characterized by successful solution of pattern recognition problems of different physical nature, but of the simplest form in the sense of used mathematical models. One of the main approaches to solve pattern recognition problems is the statisti cal approach, which uses stochastic models of feature variables. Under the statistical approach, the first stage of pattern recognition theory development is characterized by the assumption that the probability data model is known exactly or it is esti mated from a representative sample of large size with negligible estimation errors (Das Gupta, 1973, 1977), (Rey, 1978), (Vasiljev, 1983)). 320 pp. Englisch. Codice articolo 9780792342670
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Robustness in statistical pattern recognition. Mathematics and its applications 380.
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Dordrecht , Kluwer [1996]., 1996
ISBN 10: 0792342674
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Condizione: New. Focuses on the problems of robust (stable) statistical pattern recognition. This volume is intended for mathematicians, statisticians, and engineers in applied mathematics, computer science and cybernetics. It is also useful as a textbook for a one-semester course for advanced undergraduate and graduate students training in the indicated fields. Series: Mathematics and its Applications. Num Pages: 302 pages, biography. BIC Classification: PBT. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 297 x 210 x 19. Weight in Grams: 625. . 1996. Hardback. . . . . Codice articolo V9780792342670
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Robustness in Statistical Pattern Recognition
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Springer, Springer Sep 1996, 1996
ISBN 10: 0792342674
ISBN 13: 9780792342670
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Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book is concerned with important problems of robust (stable) statistical pat tern recognition when hypothetical model assumptions about experimental data are violated (disturbed). Pattern recognition theory is the field of applied mathematics in which prin ciples and methods are constructed for classification and identification of objects, phenomena, processes, situations, and signals, i. e. , of objects that can be specified by a finite set of features, or properties characterizing the objects (Mathematical Encyclopedia (1984)). Two stages in development of the mathematical theory of pattern recognition may be observed. At the first stage, until the middle of the 1970s, pattern recogni tion theory was replenished mainly from adjacent mathematical disciplines: mathe matical statistics, functional analysis, discrete mathematics, and information theory. This development stage is characterized by successful solution of pattern recognition problems of different physical nature, but of the simplest form in the sense of used mathematical models. One of the main approaches to solve pattern recognition problems is the statisti cal approach, which uses stochastic models of feature variables. Under the statistical approach, the first stage of pattern recognition theory development is characterized by the assumption that the probability data model is known exactly or it is esti mated from a representative sample of large size with negligible estimation errors (Das Gupta, 1973, 1977), (Rey, 1978), (Vasiljev, 1983)).Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 320 pp. Englisch. Codice articolo 9780792342670
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