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Tytuł artykułu

Kernel Ho-Kashyap classifier with generalization control

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Języki publikacji
EN
Abstrakty
EN
This paper introduces a new classifier design method based on a kernel extension of the classical Ho-Kashyap procedure. The proposed method uses an approximation of the absolute error rather than the squared error to design a classifier, which leads to robustness against outliers and a better approximation of the misclassification error. Additionally, easy control of the generalization ability is obtained using the structural risk minimization induction principle from statistical learning theory. Finally, examples are given to demonstrate the validity of the introduced method.
Rocznik
Strony
53--61
Opis fizyczny
Bibliogr. 26 poz., tab., wykr.
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autor
Bibliografia
  • [1] Baudat G. and Anouar F. (2000): Generalized discriminant analysis using a kernel approach. — Neural Comput., Vol. 12, No. 10, pp. 2385–2404.
  • [2] Boser B.E., Guyon I.M. and Vapnik V. (1992): A training algorithm for optimal margin classifiers. — Proc. 5th Ann. ACM Workshop Computational Learning Theory, Pittsburgh, USA, pp. 144–152.
  • [3] Czogała E. and Łęski J.M. (2000): Fuzzy and Neuro-Fuzzy Intelligent Systems.—Heidelberg: Physica-Verlag.
  • [4] Duda R.O. and Hart P.E. (1973): Pattern Classification and Scene Analysis.—New York: Wiley.
  • [5] Gantmacher F.R. (1959): The Theory of Matrices.—New York: Chelsea Publ.
  • [6] Haykin S. (1999): Neural Networks. A Comprehensive Foundation.— Upper Saddle River: Prentice-Hall.
  • [7] Ho Y.-C. and Kashyap R.L. (1965): An algorithm for linear inequalities and its applications. — IEEE Trans. Elec. Comp., Vol. 14, No. 5, pp. 683–688.
  • [8] Ho Y.-C. and Kashyap R.L. (1966): A class of iterative procedures for linear inequalities. — SIAM J. Control., Vol. 4, No. 2, pp. 112–115.
  • [9] Huber P.J. (1981): Robust Statistics.—New York: Wiley.
  • [10] Łęski J.M. (2003a): Ho-Kashyap classifier with generalization control.—Pattern Recogn. Lett., Vol. 24, No. 2, pp. 2281–2290.
  • [11] Łęski J.M. (2003b): Fuzzy if-then rule-based nonlinear classifier. — Int. J. Appl. Math. Comput. Sci., Vol. 13, No. 2, pp. 101–109.
  • [12] Łęski J.M. (2004): An " -margin nonlinear classifier based on if-then rules. — IEEE Trans. Sys. Man Cybern. – Part B: Cybernet., Vol. 34, No. 1, pp. 68–76.
  • [13] Mika S., Rätsch G., Weston J., Schölkopf B. and Müller K.-R. (1999): Fisher discriminant analysis with kernels, In: Neural Networks in Signal Processing IX (Y.H. Hu, J. Larsen, E. Wilson and S. Douglas, Eds.). — New York: IEEE Press, pp. 41–48.
  • [14] Miller D., Rao A.V., Rose K. and Gersho A. (1996): A global optimization technique for statistical classifier design. — IEEE Trans. Signal Process., Vol. 44, No. 12, pp. 3108–3121.
  • [15] Müller K.-R., Mika S., Rätsch G., Tsuda K. and Schölkopf B. (2001): An introduction to kernel-based learning algorithms. — IEEE Trans. Neural Netw., Vol. 12, No. 2, pp. 181–202.
  • [16] Rätsch G., Onoda T. and Müller K.-R. (2001): Soft margins for AdaBoost. — Mach. Learn., Vol. 42, No. 3, pp. 287–320.
  • [17] Ripley B.D. (1996): Pattern Recognition and Neural Networks. — Cambridge: Cambridge University Press.
  • [18] Schölkopf B., Smola A.J. and Müller K.-R. (1998): Nonlinear component analysis as a kernel eigenvalue problem. — Neural Comput., Vol. 10, No. 6, pp. 1299–1319.
  • [19] Schölkopf B., Burges C.J.C. and Smola A.J. (1999): Advances in Kernel Methods – Support Vector Machine. — Cambridge: MIT Press.
  • [20] Schölkopf B., Mika S., Burges C.J.C., Knirsch P., Müller K.-R., Rätsch G. and Smola A.J. (1999a): Input space vs. feature space in kernel-based methods. —IEEE Trans. Neural Netw., Vol. 10, No. 5, pp. 1000–1017.
  • [21] Tipping M.E. (2001): Sparse Bayesian learning and the relevance vector machine, — J. Mach. Learn. Res., Vol. 1, No. 2, pp. 211–244.
  • [22] Tou J.T. and Gonzalez R.C. (1974): Pattern Recognition Principles. — London: Adison-Wesley.
  • [23] Vapnik V. (1995): The Nature of Statistical Learning Theory. — New York: Springer-Verlag.
  • [24] Vapnik V. (1998): Statistical Learning Theory. — New York: Wiley.
  • [25] Vapnik V. (1999): An Overview of Statistical Learning Theory. —IEEE Trans. Neural Netw., Vol. 10, No. 5, pp. 988–999.
  • [26] Webb A. (1999): Statistical Pattern Recognition. — London: Arnold.
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Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ1-0007-0007
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