Skip to main content
Log in

A novel shapelet transformation method for classification of multivariate time series with dynamic discriminative subsequence and application in anode current signals

一种基于动态鉴别性序列的多变量时间序列分类方法及在阳极电流信号上的应用

  • Published:
Journal of Central South University Aims and scope Submit manuscript

Abstract

Classification of multi-dimension time series (MTS) plays an important role in knowledge discovery of time series. Many methods for MTS classification have been presented. However, most of these methods did not consider the kind of MTS whose discriminative subsequence was not restricted to one dimension and dynamic. In order to solve the above problem, a method to extract new features with extended shapelet transformation is proposed in this study. First, key features is extracted to replace k shapelets to calculate distance, which are extracted from candidate shapelets with one class for all dimensions. Second, feature of similarity numbers as a new feature is proposed to enhance the reliability of classification. Third, because of the time-consuming searching and clustering of shapelets, distance matrix is used to reduce the computing complexity. Experiments are carried out on public dataset and the results illustrate the effectiveness of the proposed method. Moreover, anode current signals (ACS) in the aluminum reduction cell are the aforementioned MTS, and the proposed method is successfully applied to the classification of ACS.

摘要

多变量时间序列的分类方法是时间序列知识发现的重要组成部分. 因此, 提出了多种多变量时间序列分类方法. 然而, 大部分的多变量时间序列方法都没有考虑鉴别性特征不受维度限制的时间序列. 因此, 本文提出了一种基于 shapelet 转换的特征提取方法. 首先, 从同一类别中的所有维度的候选 shapelet 中提取核心特征, 它代替 k 个 shapelet 计算距离. 其次, 利用相似数量特征去加强分类的可靠性. 最后, 为缩短搜索和聚类 shapelet 的时间使用了距离矩阵. 基于公共数据集的实验结果表明了该方法的有效性, 且将实验结果成功地应用于阳极电流信号的分类.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. HE Guo-liang, DUAN Yong, PENG Rong, JING Xiao-yuan, QIAN Tie-yun, WANG Ling-ling. Early classification on multivariate time series [J]. Neurocomputing, 2015, 149: 777–787.

    Article  Google Scholar 

  2. KONG Ling-shuang, YANG Chun-hua, LI Jian-qi, WANG Ya-lin. Generic reconstruction technology based on rst for multivariate time series of complex process industries [J]. Journal of Central South University, 2012, 19(5): 1311–1316.

    Article  Google Scholar 

  3. ZENG Ming, LI Jing-hai, MENG Qing-hao, ZHANG Xiao-nei. Temporal-spatial cross-correlation analysis of non-stationary near-surface wind speed time series [J]. Journal of Central South University, 2017, 24(3): 692–698.

    Article  Google Scholar 

  4. MAHARAJ E A, ALONSO A M. Discriminant analysis of multivariate time series: Application to diagnosis based on ecg signals [J]. Computational Statistics & Data Analysis, 2014, 70: 67–87.

    Article  MathSciNet  Google Scholar 

  5. MONBET V, AILLIOT P. Sparse vector Markov switching autoregressive models. Application to multivariate time series of temperature [J]. Computational Statistics & Data Analysis, 2017: S0167947316302584.

  6. GÓRECKI T, LUCZAK M. Multivariate time series classification with parametric derivative dynamic time warping [J]. Expert Systems with Applications, 2015, 42(5): 2305–2312.

    Article  Google Scholar 

  7. ELBAUM S, MALISHEVSKY A G, ROTHERMEL G. Test case prioritization: A family of empirical studies [J]. IEEE transactions on software engineering, 2002, 28(2): 159–182.

    Article  Google Scholar 

  8. YE L, KEOGH E J. Time series shapelets: A new primitive for data mining [C]// Proceedings of the 15th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining. Paris, France, 2009.

  9. ESMAEL B, ARNAOUT A, FRUHWIRTH R K, THONHAUSER G. Multivariate time series classification by combining trend-based and value-based approximations [C]// International Conference on Computational Science and its Applications. Springer, 2012: 392–403.

  10. WENG Xiao-qing, SHEN Jun-yi. Classification of multivariate time series using two-dimensional singular value decomposition [J]. Knowledge-Based Systems, 2008, 21(7): 535–539.

    Article  Google Scholar 

  11. WANG Lin, WANG Zhi-gang, LIU Shan. An effective multivariate time series classification approach using echo state network and adaptive differential evolution algorithm [J]. Expert Systems with Applications, 2016, 43: 237–249.

    Article  Google Scholar 

  12. GHALWASH M F, OBRADOVIC Z. Early classification of multivariate temporal observations by extraction of interpretable shapelets [J]. BMC Bioinformatics, 2012, 13(1):195.

    Article  Google Scholar 

  13. ZHANG Da-hai, QIAN Li-yang, MAO Bai-jin, HUANG Can, SI Yu-lin. A data-driven design for fault detection of wind turbines using random forests and XGboost [J]. IEEE Access, 2018, 6: 21020–21031.

    Article  Google Scholar 

  14. PENG Man-man, LUO Jun. A novel key-points based shapelets transform for time series classification [C]// 2017 13th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD). IEEE, 2017: 2268–2273.

  15. YE L, KEOGH E. Time series shapelets: A novel technique that allows accurate, interpretable and fast classification [J]. Data Mining and Knowledge Discovery, 2011, 22(1,2): 149–182.

    Article  MathSciNet  Google Scholar 

  16. FU T C. A review on time series data mining [J]. Engineering Applications of Artificial Intelligence, 2011, 24(1): 164–181.

    Article  Google Scholar 

  17. MUEEN A, KEOGH E, YOUNG N E. Logical-shapelets: An expressive primitive for time series classification [C]// Proceedings of ACM SIGKDD: International Conference on Knowledge Discovery and Data Mining. 2011

  18. RAKTHANMANON T, KEOGH E. Fast shapelets: A scalable algorithm for discovering time series shapelets [C]// proceedings of the 2013 SIAM International Conference on Data Mining. SIAM, 2013: 668–676.

  19. XING Z Z, JIAN P, YU P S. Early prediction on time series: A nearest neighbor approach [C]// IJCAI 2009, Proceedings of the 21st International Joint Conference on Artificial Intelligence. Pasadena, California, USA, July 11–17, 2009.

  20. PATRI O P, PANANGADAN A V, CHELMIS C, PRASANNA V K. Extracting discriminative features for event-based electricity disaggregation [C]// 2014 IEEE Conference on Technologies for Sustainability (SusTech). IEEE, 2014: 232–238.

  21. HILLS J, LINES J, BARANAUSKAS E, MAPP J, BAGNALL A. Classification of time series by shapelet transformation [J]. Data Mining and Knowledge Discovery, 2014, 28(4): 851–881.

    Article  MathSciNet  Google Scholar 

  22. BOSTROM A, BAGNALL A. A shapelet transform for multivariate time series classification [J]. arXiv:1712.06428, 2017.

  23. PATRI O P, KANNAN R, PANANGADAN A V, PRASANNA V K. Multivariate time series classification using inter-leaved shapelets [C]// NIPS 2015 Time Series Workshop. 2015

  24. GHALWASH M F, RADOSAVLJEVIC V, OBRADOVIC Z. Extraction of interpretable multivariate patterns for early diagnostics [C]// 2013 IEEE 13th International Conference on Data Mining. IEEE, 2013: 201–210.

  25. PATRI O P, SHARMA A B, CHEN H, JIANG G, PANANGADAN A V, PRASANNA V K. Extracting discriminative shapelets from heterogeneous sensor data [C]// 2014 IEEE International Conference on Big Data (Big Data). IEEE, 2014: 1095–1104.

  26. LINES J, DAVIS L M, HILLS J, BAGNALL A. A shapelet transform for time series classification [C]// Proceedings of the 18th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining. ACM, 2012: 289–297.

  27. ZALEWSKI W, SILVA F, MALETZKE A G, FERRERO C A. Exploring shapelet transformation for time series classification in decision trees [J]. Knowledge-Based Systems, 2016, 112: 80–91.

    Article  Google Scholar 

  28. ZHANG Zhen-guo, ZHANG Hai-wei, WEN Yan-long, ZHANG Ying, YUAN Xiao-jie. Discriminative extraction of features from time series [J]. Neurocomputing, 2018, 275: 2317–2328.

    Article  Google Scholar 

  29. PEI W, DIBEKLIOĞLU H, TAX D M, van DER MAATEN L. Time series classification using the hidden-unit logistic model [J]. arXiv:1506.05085, 2015.

  30. CETIN M S, MUEEN A, CALHOUN V D. Shapelet ensemble for multi-dimensional time series [C]// Proceedings of the 2015 SIAM International Conference on Data Mining. SIAM, 2015: 307–315.

  31. RISH I. An empirical study of the naive Bayes classifier [C]// IJCAI 2001 Workshop on Empirical Methods in Artificial Intelligence. Seattle, Washington, USA: IJCAI, 2001: 41–46.

    Google Scholar 

  32. YUE Wei-chao, CHEN Xiao-fang, GUI Wei-hua, XIE Yong-fang, ZHANG Hong-liang. A knowledge reasoning fuzzy-Bayesian network for root cause analysis of abnormal aluminum electrolysis cell condition [J]. Frontiers of Chemical Science and Engineering, 2017, 11(3): 414–428.

    Article  Google Scholar 

  33. EICK I, KLAVENESS A, ROSENKILDE C, SEGATZ M, GUDBRANDSEN H, SOLHEIM A, SKYBAKMOEN E, EINARSRUD K. Voltage and bubble release behaviour in a laboratory cell at low anode-cathode distance [C]// Proc. 10th Australasian Aluminium Smelting Technology Conference, Launceston, TAS. 2011.

  34. CHEUNG C-Y, MENICTAS C, BAO J, SKYLLAS-KAZACOS M, WELCH B J. Characterization of individual anode current signals in aluminum reduction cells [J]. Industrial & Engineering Chemistry Research, 2013, 52(28): 9632–9644.

    Article  Google Scholar 

  35. YANG Shuai, ZOU Zhong, LI Jie, ZHANG Hong-liang. Online anode current signal in aluminum reduction cells: Measurements and prospects [J]. JOM, 2016, 68(2): 623–634.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiao-fang Chen  (陈晓方).

Additional information

Foundation item: Projects(61773405, 61725306, 61533020) supported by the National Natural Science Foundation of China; Project(2018zzts583) supported by the Fundamental Research Funds for the Central Universities, China

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wan, Xx., Chen, Xf., Gui, Wh. et al. A novel shapelet transformation method for classification of multivariate time series with dynamic discriminative subsequence and application in anode current signals. J. Cent. South Univ. 27, 114–131 (2020). https://doi.org/10.1007/s11771-020-4282-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-020-4282-5

Key words

关键词

Navigation