Abstract
Kernels are employed in Support Vector Machines (SVM) to map the nonlinear model into a higher dimensional feature space where the linear learning is adopted. The characteristic of kernels has a great impact on learning and predictive results of SVM. Good characteristic for fitting may not represents good characteristic for generalization. After the research on two kinds of typical kernels—global kernel (polynomial kernel) and local kernel (RBF kernel), a new kind of SVM modeling method based on mixtures of kernels is proposed. Through the implementation in Lithopone calcination process, it demonstrates the good performance of the proposed method compared to single kernel.
Financial supported by Office of Science and Technology of Guangdong province in China (No: C10909) and by Department of Science and Technology of Guangzhou city in China (No: 2003Z3-D0091)
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References
Vapnik, V.N.: The Nature of Statistical Learning Theory. Springer, New York (1995)
Bernhard, S., Alexander, J.S.: Learning with Kernels-Support Vector Machines, Regularization, Optimization and Beyond. The MIT Press, Cambridge (2003)
Vapnik, V.N., Golowich, S., Smola, A.J.: Support Vector Method for Function Approximation, Regression Estimation, and Signal Processing. The MIT Press, Cambridge (1997)
Smola, A.J.: Learning with Kernels. Ph.D. thesis, TU Belin (1998)
Liu, Y.-P.: Development of Process Control System for Lithopone Kiln and Calciner. Master’s Degree Thesis, South China University of Technology, GuangZhou, China (2002)
Scholkopf, B., Mika, S., Burges, C.J.C., Knirsch, P., Muller, K.R., Ratsch, G., Smola, A.J.: Input Space Versus Feature Space in Kernel-Based Methods. IEEE Trans. on Neural Networks 10, 1000–1017 (1999)
Huang, R.T., Liu, Y.P., Di, Z., Mao, Z.Y.: Development of Process Control System for Lithopone Kiln and Calciner (II)—Preprocessing Technology of Sampling Data. Journal of South China University of Technology (Natural Science Edition) 30, 52–55 (2002)
Huang, R.T., Liu, Y.P., Mao, Z.Y., Di, Z.: Realization of Process Control System for Lithopone Kiln and Calcinator. Journal of South China University of Technology (Natural Science Edition) 31, 42–45 (2003)
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© 2005 Springer-Verlag Berlin Heidelberg
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Zhu, Yf., Tian, Lf., Mao, Zy., LI, W. (2005). Mixtures of Kernels for SVM Modeling. In: Wang, L., Chen, K., Ong, Y.S. (eds) Advances in Natural Computation. ICNC 2005. Lecture Notes in Computer Science, vol 3610. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539087_76
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DOI: https://doi.org/10.1007/11539087_76
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28323-2
Online ISBN: 978-3-540-31853-8
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