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Tytuł artykułu

Bayes classification of imprecise information of interval type

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The subject of the investigation presented here is Bayes classification of imprecise multidimensional information of interval type by means of patterns defined through precise data, e.g. deterministic or sharp. For this purpose the statistical kernel estimators methodology was applied, which makes the resulting algorithm independent of the pattern shape. In addition, elements of pattern sets which have insignificant or negative influence on the correctness of classification are eliminated. The concept for realizing the procedure is based on the sensitivity method, used in the domain of artificial neural networks. As a result of this procedure the number of correct classifications and - above all - calculation speed increased significantly. A further growth in quality of classification was achieved with an algorithm for the correction of classifier parameter values. The results of numerical verification, carried out on pseudorandom and benchmark data, as well as a comparative analysis with other methods of similar conditioning, have validated the concept presented here and its positive features.
Rocznik
Strony
101--123
Opis fizyczny
Bibliogr. 32 poz., wykr.
Twórcy
autor
  • Systems Research Institute, Polish Academy of Sciences Newelska 6, 01-447 Warszawa, Poland, kulczycki@pk.edu.pl
Bibliografia
  • ALEFELD, G. and HERCBERGER, J. (1986) Introduction to Interval Computations. Academic Press, New York.
  • BABICH, G.A. and CAMPS, O.I. (1996) Weighted Parzen Windows for Pattern Classification. IEEE Transactions on Pattern Analysis and Machine Intelligence, 18, 567-570.
  • DEVROYE, L., GYORFI, L. and LUGOSI, G. (1996) A Probabilistic Theory of Pattern Recognition. Springer, New York.
  • DUDA, R.O., HART, P.E. and STORK, D.G. (2001) Pattern Classification. Wiley, New York.
  • ENGELBRECHT, A.P., CLOETE, I. and ZURADA, J. (1995) Determining the Significance of Input Parameters Using Sensitivity Analysis. International Workshop on Artificial Neural Networks, Torremolinos (Spain), 7-9 June 1995, LNCS, 930, 382-388.
  • GIL, M.A. and HRYNIEWICZ, O. (2009) Statistics with Imprecise Data. In: R.A. Meyers, ed., Encyclopedia of Complexity and Systems Science 2009, Springer, Heidelberg, 8679-8690.
  • GHOST, A.K, CHAUDHURI, P. and SENGUPTA, D. (2006) Classification Using Kernel Density Estimation: Multiscale Analysis and Visualization. Technometrics, 48, 120-132.
  • HAND, D.J. (1997) Construction and Assessment of Classification Rules. Wiley, Chichester.
  • JAULIN, L., KIEPFER, M., DIDRIT, O. and WALTER, E. (2001) Applied Interval Analysis. Springer, Berlin.
  • KACPRZYK, J. (1997) Multistage Fuzzy Control: A Model-Based Approach to Fuzzy Control and Decision Making. Wiley, Chichester.
  • KELLEY, C.T. (1999) Iterative Methods for Optimization. SIAM, Philadelphia.
  • KLIR, G.J. and YUAN, B. (1995) Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice Hali, Upper Saddle River.
  • KOTSIANTIS, S.B. and PINTELAS, P.E. (2005) Logitboost of Simple Bayesian Classifier. Informatica, 29, 53-59.
  • KOWALSKI P.A. (2009) Klasyfikacja bayesowska informacji niedokładnej typu przedziałowego (Bayes classification of imprecise information of interval type; in Polish). Ph.D.-thesis, Systems Research Institute, Polish Academy of Sciences, Warsaw.
  • KULCZYCKI, P. (2005) Estymatory jądrowe w analizie systemowej (Kernel estimators in systems analysis; in Polish). WNT, Warsaw.
  • KULCZYCKI, P. (2008) Kernel Estimators in Industrial Applications. In: B. Prasad, ed. Soft Computing Applications in Industry, Springer-Yerlag, Berlin, 69-91.
  • KULCZYCKI, P., HRYNIEWICZ, O. and KACPRZYK, J., eds. (2007) Techniki informacyjne w badaniach systemowych (Information technologies in systems research; in Polish). WNT, Warsaw.
  • KULCZYCKI, P., KOWALSKI, P.A. (2008) Klasyfikacja informacji niedokładnej typu przedziałowego ze zredukowanymi próbami wzorcowymi. (Classification of imprecise information of interval type with reduced samples; in Polish). In: O. Hryniewicz, A. Straszak and J. Studziński, eds. Badania operacyjne i systemowe: środowisko naturalne, przestrzeń, optymalizacja, IBS PAN, Warsaw, ser. Badania Systemowe, 63, 305-314.
  • KUMAR, R.A. and TINKU, A. (2004) Information Technology: Principles and Applications. Prentice Hall of India, New Delhi.
  • LEDL, T. (2004) Kernel Density Estimation, Theory and Application in Discriminant Analysis. Austrian Journal of Statistics, 33, 267-279.
  • MARZIO, Di M. and TAYLOR, C. (2005) On boosting kernel density methods for multivariate data: density estimation and classification. Statistical Methods and Applications, 14, 163-178.
  • McLACHLAN, G. J. (2004) Discriminant Analysis and Statistical Pattern Recognition. Wiley, Hoboken.
  • MITRA, P., MURTHY, C.A. and PAL, S.K. (2002) Density-Based Multiscale Data Condensation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 24, 734-747.
  • MOORE, R.E. (1966) Interval Analysis. Prentice-Hall, Englewood Cliffs.
  • RICE, J.A. (1994) Mathematical Statistics and Data Analysis. Duxbury, Pacific Grove.
  • RIPLEY, B.D. (1996) Pattern Recognition and Neural Networks. Cambridge University Press, Cambridge.
  • SILVERMAN, B. W. (1986) Density Estimation for Statistics and Data Analysis. Chapman and Hall, London.
  • SOUZA, DE R.M.C.R. and CARVALHO, DE F.A.T. (2004) Dynamic clustering of interval data based on adaptive Chebyshev distances. Electronics Letters, 40, 658-660.
  • TOU, J.T. and GONZALES, R.C. (1974) Pattern Recognition Analysis. Addison-Wesley, Reading.
  • WAND, M.P. and JONES, M.C. (1995) Kernel Smoothing. Chapman and Hall, London.
  • ZHAO,Y., HE, Q. and CHEN, Q. (2005) An Interval Set Classification Based on Support Vector Machines. Joint International Conference on Autonomic and Autonomous Systems, 2nd International Conference on Networking and Services, Silicon Valley (USA), 25-30 September 2005, 81-86.
  • ZURADA, J. (1992) Introduction to Artificial Neural Systems. West Publishing, St. Paul.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0070-0007
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