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On the Consistency of Multithreshold Entropy Linear Classifier

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Języki publikacji
EN
Abstrakty
EN
Multithreshold Entropy Linear Classifier (MELC) is a recent classifier idea which employs information theoretic concept in order to create a multithreshold maximum margin model. In this paper we analyze its consistency over multithreshold linear models and show that its objective function upper bounds the amount of misclassified points in a similar manner like hinge loss does in support vector machines. For further confirmation we also conduct some numerical experiments on five datasets.
Rocznik
Tom
Strony
123--132
Opis fizyczny
Bibliogr. 10 poz., rys.
Twórcy
  • Faculty of Mathematics and Computer Science Jagiellonian University ul. Łojasiewicza 6, 30-348 Kraków
Bibliografia
  • [1] Schölkopf B., Smola A.J., Learning with kernels: support vector machines, regularization, optimization, and beyond. MIT Press, London, England, 2002.
  • [2] Steinwart I., On the influence of the kernel on the consistency of support vector machines. The Journal of Machine Learning Research, 2002, 2, pp. 67–93.
  • [3] Steinwart I., Consistency of support vector machines and other regularized kernel classifiers. IEEE Transactions on Information Theory, 2005, 51(1), pp. 128–142.
  • [4] Czarnecki W.M., Tabor J., Multithreshold entropy linear classifier. arXiv preprint arXiv:1408.1054, 2014.
  • [5] Jenssen R., Principe J.C., Erdogmus D., Eltoft T., The cauchy–schwarz divergence and parzen windowing: Connections to graph theory and mercer kernels. Journal of the Franklin Institute, 2006, 343(6), pp. 614–629.
  • [6] Silverman B.W., Density estimation for statistics and data analysis. vol. 26. CRC press, Boca Raton 1986.
  • [7] Principe J.C., Information theoretic learning: R´enyi’s entropy and kernel perspectives. Springer, Gainesville 2010.
  • [8] Vapnik V., The nature of statistical learning theory. Springer, New York 2000.
  • [9] Ho T.K., Kleinberg E.M., Building projectable classifiers of arbitrary complexity. In: Proceedings of the 13th International Conference on Pattern Recognition, 1996. vol. 2., IEEE, 1996, pp. 880–885.
  • [10] LeCun Y., Cortes C., The mnist database of handwritten digits, 1998, http://yann.lecun.com/exdb/mnist/.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-e077bd4c-fcb1-4906-b65e-d0051adb3607
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