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On finite Newton method for support vector regression

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Abstract

In this paper, we propose a Newton iterative method of solution for solving an ε-insensitive support vector regression formulated as an unconstrained optimization problem. The proposed method has the advantage that the solution is obtained by solving a system of linear equations at a finite number of times rather than solving a quadratic optimization problem. For the case of linear or kernel support vector regression, the finite termination of the Newton method has been proved. Experiments were performed on IBM, Google, Citigroup and Sunspot time series. The proposed method converges in at most six iterations. The results are compared with that of the standard, least squares and smooth support vector regression methods and of the exact solutions clearly demonstrate the effectiveness of the proposed method.

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Acknowledgments

The authors would like to thank the referee for the valuable comments which greatly improved the earlier version of the paper. Also the authors would like to thank Mr.Kapil for his assistance in running the codes of SVR and LSSVR.

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Authors and Affiliations

  1. School of Computer and Systems Sciences, Jawaharlal Nehru University, New Delhi, India

    S. Balasundaram

  2. Department of Computer Science, DDUC, University of Delhi, New Delhi, India

    Rampal Singh

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  1. S. Balasundaram
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  2. Rampal Singh
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Correspondence to S. Balasundaram.

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Balasundaram, S., Singh, R. On finite Newton method for support vector regression. Neural Comput & Applic 19, 967–977 (2010). https://doi.org/10.1007/s00521-010-0361-0

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  • DOI: https://doi.org/10.1007/s00521-010-0361-0

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