Skip to main content

TSX-Means: An Optimal K Search Approach for Time Series Clustering

  • Conference paper
  • First Online:
Database and Expert Systems Applications (DEXA 2021)

Abstract

Proliferation of temporal data in many domains has generated considerable interest in the analysis and use of time series. In that context, clustering is one of the most popular data mining methods. Whilst time series clustering algorithms generally succeed in capturing differences in shapes, they most often fail to perform clustering based on both shape and amplitude dissimilarities. In this paper, we propose a new time series clustering method that automatically determines an optimal number of clusters. Cluster refinement is based on a new dispersion criterion applied to distances between time series and their representative within a cluster. That dispersion measure allows for considering both shape and amplitude of time series. We test our method on datasets and compare results with those from K-means time series (TSK-means) and K-shape methods.

This work is supported by PIL (Province of Loyalty Islands) in New Caledonia.

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 EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

References

  1. Chen, L., Ng, R.T.: On the marriage of LP-norms and edit distance. In: VLDB, pp. 792–803. Morgan Kaufmann (2004)

    Google Scholar 

  2. Dau, H.A., et al.: The UCR time series archive. IEEE/CAA J. Automatica Sinica 6(6), 1293–1305 (2019)

    Article  Google Scholar 

  3. Dilmi, M.D., Barthès, L., Mallet, C., Chazottes, A.: Iterative multiscale dynamic time warping (IMs-DTW): a tool for rainfall time series comparison. Int. J. Data Sci. Anal. 10(1), 65–79 (2019). https://doi.org/10.1007/s41060-019-00193-1

    Article  Google Scholar 

  4. Huang, X., Ye, Y., Xiong, L., Lau, R.Y., Jiang, N., Wang, S.: Time series k-means: a new k-means type smooth subspace clustering for time series data. Inf. Sci. 367–368, 1–13 (2016)

    MATH  Google Scholar 

  5. Kalpakis, K., Gada, D., Puttagunta, V.: Distance measures for effective clustering of ARIMA time-series. In: ICDM, pp. 273–280 (2001)

    Google Scholar 

  6. Keogh, E., Pazzani, M.: Derivative dynamic time warping. First SIAM-ICDM 1, 1–11 (2002)

    Google Scholar 

  7. Meesrikamolkul, W., Niennattrakul, V., Ratanamahatana, C.A.: Shape-based clustering for time series data. In: PaKDD, pp. 530–541 (2012)

    Google Scholar 

  8. Müller, M.: Dynamic time warping. In: Information Retrieval for Music and Motion,, pp. 69–84. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-74048-3_4

  9. Paparrizos, J., Gravano, L.: k-shape: efficient and accurate clustering of time series. In: ACM SIGMOD ICMD, pp. 1855–1870 (2015)

    Google Scholar 

  10. Vlachos, M., Kollios, G., Gunopulos, D.: Discovering similar multidimensional trajectories. In: ICDE 2002, pp. 673–684 (2002)

    Google Scholar 

  11. Zhang, Z., Tavenard, R., Bailly, A., Tang, X., Tang, P., Corpetti, T.: Dynamic time warping under limited warping path length. Inf. Sci. 393, 91–107 (2017)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jannai Tokotoko .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Tokotoko, J., Selmaoui-Folcher, N., Govan, R., Lemonnier, H. (2021). TSX-Means: An Optimal K Search Approach for Time Series Clustering. In: Strauss, C., Kotsis, G., Tjoa, A.M., Khalil, I. (eds) Database and Expert Systems Applications. DEXA 2021. Lecture Notes in Computer Science(), vol 12924. Springer, Cham. https://doi.org/10.1007/978-3-030-86475-0_23

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-86475-0_23

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-86474-3

  • Online ISBN: 978-3-030-86475-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics