Abstract
This paper presents a novel way of estimating the regularization parameter C in regression ε-SVM. The proposed estimation method is based on the calculation of maximum values of the generalization and error loss function terms, present in the objective function of the SVM definition. Assuming that both terms must be optimized in approximately equal conditions in the objective function, we propose to estimate C as a comparison of the new model based on maximums and the standard SVM model. The performance of our approach is shown in terms of SVM training time and test error in several regression problems from well known standard repositories.
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Vapnik, V.N.: Statistical Learning Theory. In: Adaptive and Learning Systems for Signal Processing, Communications and Control. J. Wiley & Sons, Chichester (1998)
He, W., Wang, Z., Jiang, H.: Model optimizing and feature selecting for support vector regression in time series forecasting. Neurocomputing 72(1-3), 600–611 (2008)
Wu, C.L., Chau, K.W., Li, Y.S.: River stage prediction based on a distributed support vector regression. J. of Hydrology 358(1-2), 96–111 (2008)
Smola, A.J., Schölkopf, B.: A tutorial on support vector regression. Statistics and Computing (1998)
Akay, M.F.: Support vector machines combined with feature selection for breast cancer diagnosis. Expert Syst. with Applic. 36(2), 3240–3247 (2009)
Momma, M., Bennett, K.P.: A pattern search method for model selection of support vector regression. In: Proc. of the SIAM International Conference on Data Mining (2002)
Wang, X., Yang, C., Qin, B., Gui, W.: Parameter selection of support vector regression based on hybrid optimization algorithm and its application. J. of Control Theory and Applications 3(4), 371–376 (2005)
Chang, C.-C., Lin, C.-J.: LIBSVM: a library for support vector machines (2001), http://www.csie.ntu.edu.tw/~cjlin/libsvm
Asuncion, A., Newman, D.J.: UCI Machine Learning Repository, Irvine, CA: University of California, School of Information and Computer Science (2007), http://www.ics.uci.edu/~mlearn/MLRepository.html
StatLib DataSets Archive, http://lib.stat.cmu.edu/datasets
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Ortiz-García, E.G., Gascón-Moreno, J., Salcedo-Sanz, S., Pérez-Bellido, A.M., Portilla-Figueras, J.A., Carro-Calvo, L. (2009). A Novel Estimation of the Regularization Parameter for ε-SVM. In: Corchado, E., Yin, H. (eds) Intelligent Data Engineering and Automated Learning - IDEAL 2009. IDEAL 2009. Lecture Notes in Computer Science, vol 5788. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04394-9_5
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DOI: https://doi.org/10.1007/978-3-642-04394-9_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04393-2
Online ISBN: 978-3-642-04394-9
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