Abstract
Classic kernel methods (SVM, LS-SVM) use some arbitrarily chosen loss functions. These functions equally penalize errors on all training samples. In problem of time series prediction better results can be achieved when the relative importance of the samples is expressed in the loss function. In this paper an autocovariance based weighting strategy for chaotic time series prediction is presented. Proposed method can be considered a way to improve the performance of kernel algorithms by incorporating some additional knowledge and information on the analyzed learning problem.
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References
Jensen, D., Neville, J. (2003) Autocorrelation and Linkage Cause Bias in Evaluation of Relational Learners. LNCS 2583, 101–116, Springer-Verlag
Mackey, M. C., Glass, L. (1977) Oscillation and chaos in physiological control systems. Science 197, 287–289
Neville, J., Simsek, Ö., Jensen, D. (2004) Autocorrelation and Relational Learning: Challenges and Opportunities. Proceedings of SRL 2004
Niedzwiecki, M. (2000) Identification of Time-Varying Processes in Signal Processing, Wiley
Poggio, T., Smale, S. (2003) The Mathematics of Learning: Dealing with Data. Noticies of AMS 50, 5, 537–544
Suykens, J. A. K., Van Gestel, T., De Brabanter, J. (2002) Least Squares Support Vector Machines. World Scientific
Svarer, C., Hansen, L. K., Larsen, J., Rasmussen, C. E. (1993) Designer networks for time series processing, Proceedings of the III IEEE Workshop on Neural Networks for Signal Processing, 78–87
Tikhonov, A. N., Arsenin, V. Y. (1977) Solution of Ill-posed problems. W. H. Winston, Washington
Vapnik, V. N. (1998) Statistical Learning Theory, Wiley, New York
Weigend, A. S., Gershenfeld, N. A. (1994) Time Series Prediction: Forecasting the Future and Understanding the Past, Addison-Wesley
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© 2005 Springer-Verlag Berlin Heidelberg
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Majewski, P. (2005). Autocovariance Based Weighting Strategy for Time Series Prediction with Weighted LS-SVM. In: Kłopotek, M.A., Wierzchoń, S.T., Trojanowski, K. (eds) Intelligent Information Processing and Web Mining. Advances in Soft Computing, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-32392-9_50
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DOI: https://doi.org/10.1007/3-540-32392-9_50
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25056-2
Online ISBN: 978-3-540-32392-1
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