Skip to main content

Part of the book series: Lecture Notes in Computer Science ((TLDKS,volume 8290))

  • 428 Accesses

Abstract

Time series motifs are sets of similar subsequences. Lag patterns, or the invariant ordering among time series motifs, depict localized repeated associative relationships across multiple real valued time series. Lag patterns are of special interest in many real world applications, such as constructing stock portfolio in financial domain, extracting regulator-target relationship in bioinformatics domain, etc. However, mining lag patterns is computationally intensive, particularly in evolving time series data. In this paper, we present an efficient algorithm called LPMiner * that iteratively discovers motifs and generates lag patterns of increasing length. We also design an incremental algorithm called incLPMiner to mine lag patterns in the presence of frequent database updates. Experimental analysis on real world time series datasets demonstrate the efficiency and scalability of our proposed algorithms.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 49.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Castro, N., Azevedo, P.: Multiresolution Motif Discovery in Time Series. In: SDM, pp. 665–676 (2010)

    Google Scholar 

  2. Castro, N.C., Azevedo, P.J.: Significant motifs in time series. In: SDM, pp. 35–53 (2012)

    Google Scholar 

  3. Chen, Y., Guo, J., Wang, Y., Xiong, Y., Zhu, Y.: Incremental Mining of Sequential Patterns Using Prefix Tree. In: Zhou, Z.-H., Li, H., Yang, Q. (eds.) PAKDD 2007. LNCS (LNAI), vol. 4426, pp. 433–440. Springer, Heidelberg (2007)

    Google Scholar 

  4. Cheng, H., Yan, X., Han, J.: IncSpan: Incremental Mining of Sequential Patterns in Large Database. In: KDD, pp. 527–532 (2004)

    Google Scholar 

  5. Chiu, B., Keogh, E., Lonardi, S.: Probabilistic discovery of time series motifs. In: SIGKDD (2003)

    Google Scholar 

  6. Minnen, D., Essa, I., Starner, C.I., Detecting, T.: subdimensional motifs: An efficient algorithm for generalized multivariate pattern discovery. In: ICDM (2007)

    Google Scholar 

  7. Minnen, D., Starner, T., Essa, I., Isbell, C.: Improving activity discovery with automatic neighborhood estimation. In: IJCAI (2007)

    Google Scholar 

  8. Das, G., Lin, K., Mannila, H., Smyth, P.: Rule discovery from time series. In: SIGKDD, pp. 16–22 (1998)

    Google Scholar 

  9. Denton, A.: Density-based clustering of time series subsequences. Mining Temporal and Sequential Data (2004)

    Google Scholar 

  10. Eamonn, K., Jessica, L.: Clustering of time-series subsequences is meaningless: implications for previous and future research. In: KAIS, pp. 154–177 (2005)

    Google Scholar 

  11. Giannotti, F., Nanni, M., Pedreschi, D., Pinelli, F.: Mining Sequences with Temporal Annotations. In: SAC, pp. 593–597 (2006)

    Google Scholar 

  12. Goldin, D., Mardales, R., Nagy, G.: In search of meaning for time series subsequence clustering. In: CIKM (2006)

    Google Scholar 

  13. Lin, J., Keogh, E., Lonardi, S., Patel, P.: Finding motifs in time series. In: TDM (2002)

    Google Scholar 

  14. Liu, J., Yan, S., Wang, Y., Ren, J.: Incremental mining algorithm of sequential patterns based on sequence tree. In: Lee, G. (ed.) Advances in Intelligent Systems. AISC, vol. 138, pp. 61–67. Springer, Heidelberg (2012)

    Google Scholar 

  15. Masseglia, F., Poncelet, P., Teisseire, M.: Incremental Mining of Sequential Patterns in Large Databases. DKE 46(1), 97–121 (2007)

    Google Scholar 

  16. Mcgovern, A., Rosendahl, D.H., Brown, R.A., Droegemeier, K.K.: Identifying predictive multi-dimensional time series motifs: an application to severe weather prediction. In: DMKD, pp. 232–258 (2011)

    Google Scholar 

  17. Minnen, D., Isbell, C., Essa, I., Starner, T.: Discovering multivariate motifs using subsequence density estimation and greedy mixture learning. In: AAAI (2007)

    Google Scholar 

  18. Mueen, A., Keogh, E., Zhu, Q., Cash, S.: Exact discovery of time series motifs. In: SDM (2009)

    Google Scholar 

  19. Mueen, A., Keogh, E.: Online discovery and maintenance of time series motifs. In: KDD, pp. 1089–1098 (2010)

    Google Scholar 

  20. Nguyen, S., Sun, X., Orlowska, M.: Improvements of IncSpan: Incremental Mining of Sequential Patterns in Large Database. In: Ho, T.-B., Cheung, D., Liu, H. (eds.) PAKDD 2005. LNCS (LNAI), vol. 3518, pp. 442–451. Springer, Heidelberg (2005)

    Google Scholar 

  21. Oates, T.: Peruse: An unsupervised algorithm for finding recurring patterns in time series. In: ICDM, pp. 330–337 (2002)

    Google Scholar 

  22. Papadimitriou, S., Faloutsos, C.: Streaming pattern discovery in multiple time-series. In: VLDB, pp. 697–708 (2005)

    Google Scholar 

  23. Papadimitriou, S., Sun, J., Yu, P.S.: Local correlation tracking in time series. In: ICDM, pp. 456–465 (2006)

    Google Scholar 

  24. Patel, D., Hsu, W., Lee, M.L., Parthasarathy, S.: Lag patterns in time series databases. In: Bringas, P.G., Hameurlain, A., Quirchmayr, G. (eds.) DEXA 2010, Part II. LNCS, vol. 6262, pp. 209–224. Springer, Heidelberg (2010)

    Google Scholar 

  25. Parthasarathy, S., Zaki, M., Ogihara, M., Dwarkadas, S.: Incremental and Interactive Sequence Mining. In: CIKM, pp. 251–258 (1999)

    Google Scholar 

  26. Pei, J., Han, P.H., Chen, Q., Dayal, U., Hsu, M.-C.: Prefixspan: Mining Sequential Patterns Efficiently by Prefix-projected Pattern Growth. In: ICDE, pp. 215–224 (2001)

    Google Scholar 

  27. Srikant, R., Agrawal, R.: Mining Sequential Patterns: Generalizations and Performance Improvements. In: Apers, P.M.G., Bouzeghoub, M., Gardarin, G. (eds.) EDBT 1996. LNCS, vol. 1057, pp. 1–17. Springer, Heidelberg (1996)

    Google Scholar 

  28. Witten, I.H., Frank, E.: Data mining: Practical machine learning tools and techniques. Morgan Kaufmann (2005)

    Google Scholar 

  29. Wu, D., Fung, G., Yu, J.X., Liu, Z.: Mining multiple time series co-movements. In: Zhang, Y., Yu, G., Bertino, E., Xu, G. (eds.) APWeb 2008. LNCS, vol. 4976, pp. 572–583. Springer, Heidelberg (2008)

    Google Scholar 

  30. Yan, X., Han, J., Afshar, R.: Clospan: Mining Closed Sequential Patterns in Large Datasets. In: SDM, pp. 166–177 (2003)

    Google Scholar 

  31. Yoshiki, T., Kazuhisa, I., Kuniaki, U.: Discovery of time-series motif from multi-dimensional data based on mdl principle. Machine Learning 58(2-3), 269–300 (2005)

    Google Scholar 

  32. Zaki, M.: SPADE: An Efficient Algorithm for Mining Frequent Sequences. Machine Learning 42(1/2), 31–60 (2001)

    Google Scholar 

  33. Zhang, M., Kao, B., Cheung, D., Yip, C.L.: Efficient Algorithms for Incremental Update of Frequent Sequences. In: Chen, M.-S., Yu, P.S., Liu, B. (eds.) PAKDD 2002. LNCS (LNAI), vol. 2336, pp. 186–197. Springer, Heidelberg (2002)

    Google Scholar 

  34. Zhu, Y., Shasha, D.: Statstream: Statistical monitoring of thousands of data streams in real time. In: VLDB (2002)

    Google Scholar 

  35. Cormen, T., Leiserson, E., Rivest, L., Stein, C.: Introduction to Algorithms. The MIT Press (2001)

    Google Scholar 

  36. Keogh, E.: Time Series Data Mining Tutorial (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Patel, D., Hsu, W., Lee, M.L. (2013). Efficient Mining of Lag Patterns in Evolving Time Series. In: Hameurlain, A., Küng, J., Wagner, R., Amann, B., Lamarre, P. (eds) Transactions on Large-Scale Data- and Knowledge-Centered Systems XI. Lecture Notes in Computer Science, vol 8290. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45269-7_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-45269-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-45268-0

  • Online ISBN: 978-3-642-45269-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics