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Online Modeling of Nonlinear Systems Using Improved Adaptive Kernel Methods

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Advances in Neural Networks - ISNN 2006 (ISNN 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3972))

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Abstract

The least squares support vector machines (LS-SVMs) is a kernel method. The training problem of LS-SVMs is solved by finding a solution to a set of linear equations. This makes online adaptive implementation of the algorithm feasible. An improved adaptive algorithm is proposed for training the LS-SVMs in this paper. This algorithm is especially useful on online nonlinear system modeling. The experiments with benchmark problem have shown the validity of the proposed method even in the case of additive noise to the system.

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Author information

Authors and Affiliations

  1. College of Information Science and Engineering, Zhejiang Normal University, Jinhua, 321004, P.R. China

    Xiaodong Wang, Haoran Zhang, Changjiang Zhang, Xiushan Cai & Jinshan Wang

  2. College of Mathematics and Physics, Zhejiang Normal University, Jinhua, 321004, P.R. China

    Meiying Ye

Authors
  1. Xiaodong Wang
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  2. Haoran Zhang
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  3. Changjiang Zhang
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  4. Xiushan Cai
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  5. Jinshan Wang
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  6. Meiying Ye
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Editor information

Editors and Affiliations

  1. Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China

    Jun Wang

  2. Computational Intelligence Laboratory, School of Computer Science and Engineering, University of Electronic Science and Technology of China, 610054, Chengdu, P.R. China

    Zhang Yi

  3. Department of Electrical Engineering, University of Louisville, 40292, Louisville, KY, U.S.A

    Jacek M. Zurada

  4. Laboratory for Computational Biology, Shanghai Center for Systems Biomedicine, 800 Dong Chuan Rd., 200240, Shanghai, China

    Bao-Liang Lu

  5. School of Electrical and Electronic Engineering, University of Manchester, UK

    Hujun Yin

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© 2006 Springer-Verlag Berlin Heidelberg

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Cite this paper

Wang, X., Zhang, H., Zhang, C., Cai, X., Wang, J., Ye, M. (2006). Online Modeling of Nonlinear Systems Using Improved Adaptive Kernel Methods. In: Wang, J., Yi, Z., Zurada, J.M., Lu, BL., Yin, H. (eds) Advances in Neural Networks - ISNN 2006. ISNN 2006. Lecture Notes in Computer Science, vol 3972. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11760023_115

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  • DOI: https://doi.org/10.1007/11760023_115

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34437-7

  • Online ISBN: 978-3-540-34438-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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