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Support Vector Method for ARMA System Identification: A Robust Cost Interpretation

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Artificial Neural Networks — ICANN 2002 (ICANN 2002)

Abstract

This paper deals with the application of the Support Vector Method (SVM) methodology to the Auto Regressive and Moving Average (ARMA) linear-system identification problem. The SVM-ARMA algorithm for a single-input single-output transfer function is formulated. The relationship between the SVM coefficients and the residuals, together with the embedded estimation of the autocorrelation function, are presented. Also, the effect of the numerical regularization is used to highlight the robust cost character of this approach. A clinical example is presented for qualitative comparison with the classical Least Squares (LS) methods.

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References

  1. Proakis, J.G., Rader, C.M., Ling, F., Nikias, C.L.: Advanced Digital Signal Processing. Macmillan Publishing Company, NY, US, 1992.

    MATH  Google Scholar 

  2. Ljung, L.: System Identification. Theory for the User. Prentice Hall, NJ, US, 1987.

    Google Scholar 

  3. Vapnik, V.: The Nature of Statistical Learning Theory Springer-Verlag, NY, 1995.

    MATH  Google Scholar 

  4. Schölkopf, B., Sung, K.: Comparing Support Vector Machines with Gaussian Kernels to Radial Basis Function Classifiers IEEE Trans. on Signal Proc. Vol 45, n 11. 1997.

    Google Scholar 

  5. Pontil, M., Verri, A.: Support Vector Machines for 3D Object Recognition. IEEE Trans. on Pattern Anal. and Mach. Intell. Vol. 20, n 6, 1998.

    Google Scholar 

  6. Müller, K.R., Smola, A., Rätsch, G.R., Schölkopf, B., Kohlmorgen, J., Vapnik, V.: Predicting Time Series with Support Vector Machines. In Advances in Kernel Methods. Support Vector Learning. MIT Press, MA, USA. 1999.

    Google Scholar 

  7. Tikhonov, A.N., Arsenen, V.Y.: Solution to Ill-Posed Problems. V.H. Winston & Sons. Washington, US, 1977.

    Google Scholar 

  8. Smola, A.J., Schölkopf, B.: A Tutorial on Support Vector Regression. NeuroCOLT2 NC2-TR-1998-030, 1998.

    Google Scholar 

  9. Luenberguer, D.G.: Linear and Nonlinear Programming. Addison-Wesley Pub Co, Reading, MA, 1984

    Google Scholar 

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© 2002 Springer-Verlag Berlin Heidelberg

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Rojo-Álvarez, J.L., Martínez-Ramón, M., Figueiras-Vidal, A.R., de Prado-Cumplido, M., Artés-Rodríguez, A. (2002). Support Vector Method for ARMA System Identification: A Robust Cost Interpretation. In: Dorronsoro, J.R. (eds) Artificial Neural Networks — ICANN 2002. ICANN 2002. Lecture Notes in Computer Science, vol 2415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46084-5_179

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  • DOI: https://doi.org/10.1007/3-540-46084-5_179

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44074-1

  • Online ISBN: 978-3-540-46084-8

  • eBook Packages: Springer Book Archive

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