Abstract
Time series classification has been attracting significant interests with many challenging applications in the research community. In this work, we present a novel time series classification method based on the statistical information of each time series class, called Principal Shape Model (PSM), which can quickly and effectively classify the time series even if they are very long and the dataset is very large. In PSM, the time series with the same class label in the training set are gathered to extract the principal shapes which will be used to generate the classification model. For each test sample, by comparing the minimum distance between this sample and each generated model, we can predict its label. Meanwhile, through the principal shapes, we can get the intrinsic shape variation of time series of the same class. Extensive experimental results show that PSM is orders of magnitudes faster than the state-of-art time series classification methods while achieving comparable or even better classification accuracy over common used and large datasets.
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Notes
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The superscript i denotes that we are dealing with the i-th class.
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References
Batista, G.E., Wang, X., Keogh, E.J.: A complexity-invariant distance measure for time series. In: SDM, vol. 11, pp. 699–710. SIAM (2011)
Björck, Å.: Numerical Methods for Least Squares Problems. SIAM, Philadelphia (1996)
Chang, K.W., Deka, B., Hwu, W.M.W., Roth, D.: Efficient pattern-based time series classification on GPU. In: 2012 IEEE 12th International Conference on Data Mining (ICDM), pp. 131–140. IEEE (2012)
Demšar, J.: Statistical comparisons of classifiers over multiple data sets. J. Mach. Learn. Res. 7(Jan), 1–30 (2006)
Ding, H., Trajcevski, G., Scheuermann, P., Wang, X., Keogh, E.: Querying and mining of time series data: experimental comparison of representations and distance measures. Proc. VLDB Endowment 1(2), 1542–1552 (2008)
Grabocka, J., Schilling, N., Wistuba, M., Schmidt-Thieme, L.: Learning time-series shapelets. In: Proceedings of the 20th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 392–401. ACM (2014)
He, Q., Dong, Z., Zhuang, F., Shang, T., Shi, Z.: Fast time series classification based on infrequent shapelets. In: 2012 11th International Conference on Machine Learning and Applications (ICMLA), vol. 1, pp. 215–219. IEEE (2012)
Hills, J., Lines, J., Baranauskas, E., Mapp, J., Bagnall, A.: Classification of time series by shapelet transformation. Data Min. Knowl. Disc. 28(4), 851–881 (2014)
Hou, L., Kwok, J.T., Zurada, J.M.: Efficient learning of timeseries shapelets. In: Thirtieth AAAI Conference on Artificial Intelligence, AAAI, pp. 1209–1215 (2016)
Jeong, Y.S., Jeong, M.K., Omitaomu, O.A.: Weighted dynamic time warping for time series classification. Pattern Recogn. 44(9), 2231–2240 (2011)
Keogh, E., Kasetty, S.: On the need for time series data mining benchmarks: a survey and empirical demonstration. Data Min. Knowl. Disc. 7(4), 349–371 (2003)
Keogh, E., Ratanamahatana, C.A.: Exact indexing of dynamic time warping. Knowl. Inf. Syst. 7(3), 358–386 (2005)
Lin, J., Keogh, E., Wei, L., Lonardi, S.: Experiencing Sax: a novel symbolic representation of time series. Data Min. Knowl. Disc. 15(2), 107–144 (2007)
Mueen, A., Keogh, E., Young, N.: Logical-shapelets: an expressive primitive for time series classification. In: Proceedings of the 17th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 1154–1162. ACM (2011)
Petitjean, F., Forestier, G., Webb, G.I., Nicholson, A.E., Chen, Y., Keogh, E.: Dynamic time warping averaging of time series allows faster and more accurate classification. In: 2014 IEEE International Conference on Data Mining (ICDM), pp. 470–479. IEEE (2014)
Baldock, R., Tim, C.: Model-Based Methods in Analysis of Biomedical Images. Oxford University Press, Oxford (1999)
Rakthanmanon, T., Keogh, E.: Fast shapelets: a scalable algorithm for discovering time series shapelets. In: Proceedings of the Thirteenth SIAM Conference on Data Mining (SDM), pp. 668–676. SIAM (2013)
Ratanamahatana, C.A., Keogh, E.: Making time-series classification more accurate using learned constraints. In: Proceedings of the 2004 SIAM International Conference on Data Mining, pp. 11–22. SIAM (2004)
Ratanamahatana, C.A., Keogh, E.: Three myths about dynamic time warping data mining. In: Proceedings of SIAM International Conference on Data Mining (SDM05), pp. 506–510. SIAM (2005)
Ueno, K., Xi, X., Keogh, E., Lee, D.J.: Anytime classification using the nearest neighbor algorithm with applications to stream mining. In: Sixth International Conference on Data Mining, ICDM 2006, pp. 623–632. IEEE (2006)
Ye, L., Keogh, E.: Time series shapelets: a new primitive for data mining. In: Proceedings of the 15th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 947–956. ACM (2009)
Acknowledgements
This work was supported by the National 863 Program of China [grant numbers 2015AA015401]; Research Foundation of Ministry of Education and China Mobile [grant number MCM20150507].
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Zhang, Z., Wen, Y., Zhang, Y., Yuan, X. (2017). Time Series Classification by Modeling the Principal Shapes. In: Bouguettaya, A., et al. Web Information Systems Engineering – WISE 2017. WISE 2017. Lecture Notes in Computer Science(), vol 10569. Springer, Cham. https://doi.org/10.1007/978-3-319-68783-4_28
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DOI: https://doi.org/10.1007/978-3-319-68783-4_28
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