Abstract
Time series classification has attracted a lot of attention in recent years. However, the original data often corrupted with noise. To alleviate this problem, many approaches try to perform nonlinear transformation, such that the resulting space could give out the most relevant features. Since the resulting space is not a Euclidean space, strong assumptions are needed for many kernel-based methods for the purpose of obtaining a reasonable measurement. In this paper we propose a novel approach based on Martin distance. The Martin distance is applied to measure the pairwise distance in the resulting space, without imposing strong assumptions on model states. Experiments on several benchmark datasets demonstrate the advantages of the proposed kernel on its effectiveness and performance.
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References
Möller-Levet, C.S., Klawonn, F., Cho, K.H., Wolkenhauer, O.: Fuzzy clustering of short time-series and unevenly distributed sampling points. In: Berthold, M.R., Lenz, H.J., Bradley, E., Kruse, R., Borgelt, C. (eds.) IDA 2003. LNCS, vol. 2810, pp. 330–340. Springer, Heidelberg (2003). doi:10.1007/978-3-540-45231-7_31
Weinberger, K.Q., Saul, L.K.: Distance metric learning for large margin nearest neighbor classification. J. Mach. Learn. Res. 10, 207–244 (2009)
Berndt, D.J., Clifford, J.: Using dynamic time warping to find patterns in time series. In: KDD Workshop, Seattle, WA, vol. 10, pp. 359–370 (1994)
Keogh, E.J., Pazzani, M.J.: Derivative dynamic time warping. In: Proceedings of the 2001 SIAM International Conference on Data Mining, pp. 1–11 (2001)
Vlachos, M., Kollios, G., Gunopulos, D.: Discovering similar multidimensional trajectories. In: 18th International Conference on Data Engineering, pp. 673–684. IEEE (2002)
Chen, L., Özsu, M.T., Oria, V.: Robust and fast similarity search for moving object trajectories. In: Proceedings of the 2005 ACM SIGMOD International Conference on Management of Data, pp. 491–502. ACM (2005)
Chen, L., Ng, R.: On the marriage of lp-norms and edit distance. In: Proceedings of the Thirtieth International Conference on Very Large Data Bases, pp. 792–803 (2004)
Moreno, P.J., Ho, P.P., Vasconcelos, N.: A Kullback-Leibler divergence based kernel for SVM classification in multimedia applications. In: Neural Information Processing Systems, pp. 1385–1392 (2004)
Cuturi, M., Doucet, A.: Autoregressive kernels for time series. arXiv preprint arXiv:1101.0673 (2011)
Jebara, T., Kondor, R., Howard, A.: Probability product kernels. J. Mach. Learn. Res. 5, 819–844 (2004)
Jaakkola, T.S., Diekhans, M., Haussler, D.: Using the fisher kernel method to detect remote protein homologies. In: ISMB-99 Proceedings, vol. 99, pp. 149–158 (2000)
Chen, H., Tang, F., Tino, P., Yao, X.: Model-based kernel for efficient time series analysis. In: Proceedings of the 19th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 392–400. ACM (2013)
Jaeger, H.: The echo state approach to analysing and training recurrent neural networks-with an erratum note. German National Research Center for Information Technology GMD Technical Report, vol. 148(34), p. 13 (2001)
Martin, R.J.: A metric for arma processes. IEEE Trans. Signal Process. 48(4), 1164–1170 (2000)
Lukoševičius, M., Jaeger, H.: Reservoir computing approaches to recurrent neural network training. Comput. Sci. Rev. 3(3), 127–149 (2009)
Jaeger, H.: Echo state network. Scholarpedia 2(9), 2330 (2007)
Willems, J.C.: From time series to linear system-part I. Finite dimensional linear time invariant systems. Automatica 22(5), 561–580 (1986)
De Cock, K., De Moor, B.: Subspace angles between arma models. Syst. Control Lett. 46(4), 265–270 (2002)
Chang, C.C., Lin, C.J.: Libsvm: a library for support vector machines. ACM Trans. Intell. Syst. Technol. 2(3), 27 (2011)
Chen, Y., Keogh, E., Hu, B., Begum, N., Bagnall, A., Mueen, A., Batista, G.: The UCR time series classification archive (2015). www.cs.ucr.edu/~eamonn/time_series_data/
Acknowledgments
This work is supported by the National Key Research and Development Program of China (Grant No. 2016YFB1000905), and the National Natural Science Foundation of China (Grants Nos. 91546116, and 61673363).
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Zhang, L., Li, Y., Chen, H. (2017). An Effective Martin Kernel for Time Series Classification. In: Liu, D., Xie, S., Li, Y., Zhao, D., El-Alfy, ES. (eds) Neural Information Processing. ICONIP 2017. Lecture Notes in Computer Science(), vol 10634. Springer, Cham. https://doi.org/10.1007/978-3-319-70087-8_41
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DOI: https://doi.org/10.1007/978-3-319-70087-8_41
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