Abstract
Time series from alternating dynamics have many important applications. In [5], the authors propose an approach to solve the drifting dynamics. Their method directly solves a non-convex optimization problem. In this paper, we propose a strategy which solves a sequence of convex optimization problems by using modified support vector regression. Experimental results showing its practical viability are presented and we also discuss the advantages and disadvantages of the proposed approach.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
NEOS AMPL interfaces to TRON. Software available at http://neos.mcs.anl.gov/neos/solvers/BCO:TRON-AMPL/.
C.-C. Chang and C.-J. Lin. LIBSVM: a library for support vector machines, 2001. Software available at http://www.csie.ntu.edu.tw/~cjlin/libsvm.
M.-W. Chang, C.-J. Lin, and R. C. Weng. Analysis of switching dynamics with competing support vector machines. In Proceedings of IJCNN, 2002.
A. Kehagias and V. Petridis. Time-series segmentation using predictive modular neural networks. Neural Computation, 9:1691–1709, 1997.
J. Kohlmorgen, S. Lemm, G. Rätsch, and K.-R. Müller. Analysis of nonstationary time series by mixtures of self-organizing predictors. In Proceedings of IEEE Neural Networks for Signal Processing Workshop, pages 85–94, 2000.
J. Kohlmorgen, K.-R. Müller, and K. Pawelzik. Segmentation and identification of drifting dynamical systems. pages 326–335, 1997.
J. Kohlmorgen, K.-R. Müller, J. Rittweger, and K. Pawelzik. Identification of nonstationary dynamics in physiological recordings. Biological Cybernetics, 83:73–84, 2000.
C.-J. Lin and J. J. Moré. Newton’s method for large-scale bound constrained problems. SIAM J. Optim., 9:1100–1127, 1999.
K.-R. Müller, J. Kohlmorgen, and K. Pawelzik. Analysis of switching dynamics with competing neural networks. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, E78-A(10):1306–1315, 1995.
K. Pawelzik, J. Kohlmorgen, and K.-R. Müller. Annealed competition of experts for a segmentation and classification of switching dynamics. Neural Computation, 8(2):340–356, 1996.
V. Vapnik. Statistical Learning Theory. Wiley, New York, NY, 1998.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chang, MW., Lin, CJ., Weng, R.C. (2002). Analysis of Nonstationary Time Series Using Support Vector Machines. In: Lee, SW., Verri, A. (eds) Pattern Recognition with Support Vector Machines. SVM 2002. Lecture Notes in Computer Science, vol 2388. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45665-1_13
Download citation
DOI: https://doi.org/10.1007/3-540-45665-1_13
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-44016-1
Online ISBN: 978-3-540-45665-0
eBook Packages: Springer Book Archive