Skip to main content

Fuzzy Clustering Based Segmentation of Time-Series

  • Conference paper
Advances in Intelligent Data Analysis V (IDA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2810))

Included in the following conference series:

Abstract

The segmentation of time-series is a constrained clustering problem: the data points should be grouped by their similarity, but with the constraint that all points in a cluster must come from successive time points. The changes of the variables of a time-series are usually vague and do not focused on any particular time point. Therefore it is not practical to define crisp bounds of the segments. Although fuzzy clustering algorithms are widely used to group overlapping and vague objects, they cannot be directly applied to time-series segmentation. This paper proposes a clustering algorithm for the simultaneous identification of fuzzy sets which represent the segments in time and the local PCA models used to measure the homogeneity of the segments. The algorithm is applied to the monitoring of the production of high-density polyethylene.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Vasko, K., Toivonen, H.: Estimating the number of segments in time series data using permutation tests. In: IEEE International Conference on Data Mining, pp. 466–473 (2002)

    Google Scholar 

  2. Last, M., Klein, Y., Kandel, A.: Knowledge discovery in time series databases. IEEE Transactions on Systems, Man, and Cybernetics 31(1), 160–169 (2000)

    Google Scholar 

  3. Kivikunnas, S.: Overview of process trend analysis methods and applications. In: ERUDIT Workshop on Applications in Pulp and Paper Industry (1998) (CD ROM)

    Google Scholar 

  4. Tipping, M.E., Bishop, C.M.: Mixtures of probabilistic principal components analysis. Neural Computation 11, 443–482 (1999)

    Article  Google Scholar 

  5. Stephanopoulos, G., Han, C.: Intelligent systems in process engineering: A review. Comput. Chem. Engng. 20, 743–791 (1996)

    Article  Google Scholar 

  6. Chakrabarti, K., Mehrotra, S.: Local dimensionality reduction: A new approach to indexing high dimensional spaces. In: Proceedings of the 26th VLDB Conference Cairo Egypt, P089 (2000)

    Google Scholar 

  7. Abonyi, J.: Fuzzy Model Identification for Control. Birkhauser, Boston (2003)

    MATH  Google Scholar 

  8. Geva, A.B.: Hierarchical-fuzzy clustering of temporal-patterns and its application for time-series prediction. Pattern Recognition Letters 20, 1519–1532 (1999)

    Article  Google Scholar 

  9. Baldwin, J.F., Martin, T.P., Rossiter, J.M.: Time series modelling and prediction using fuzzy trend information. In: Proceedings of 5th International Conference on Soft Computing and Information Intelligent Systems, pp. 499–502 (1998)

    Google Scholar 

  10. Wong, J.C., McDonald, K., Palazoglu, A.: Classification of process trends based on fuzzified symbolic representation and hidden markov models. Journal of Process Control 8, 395–408 (1998)

    Article  Google Scholar 

  11. Himberg, J., Korpiaho, K., Mannila, H., Tikanmaki, J., Toivonen, H.T.: Time-series segmentation for context recognition in mobile devices. In: IEEE International Conference on Data Mining (ICDM 2001), San Jose, California, pp. 203–210 (2001)

    Google Scholar 

  12. Keogh, E., Chu, S., Hart, D., Pazzani, M.: An online algorithm for segmenting time series. IEEE International Conference on Data Mining (2001), http://citeseer.nj.nec.com/keogh01online.html

  13. Abonyi, J., Babuska, R., Szeifert, F.: Modified Gath-Geva fuzzy clustering for identification of takagi-sugeno fuzzy models. IEEE Transactions on Systems, Man, and Cybernetics 32(5), 321–612 (2002)

    Google Scholar 

  14. Babuška, R., van der Veen, P.J., Kaymak, U.: Improved covariance estimation for gustafson-kessel clustering. In: IEEE International Conference on Fuzzy Systems, pp. 1081–1085 (2002)

    Google Scholar 

  15. Hoppner, F., Klawonn, F., Kruse, R., Runkler, T.: Fuzzy Cluster Analysis. Wiley, Chichester (1999)

    Google Scholar 

  16. Hoppner, F., Klawonn, F.: Fuzzy Clustering of Sampled Functions. In: NAFIPS 2000, Atlanta, USA, pp. 251–255 (2000)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Abonyi, J., Feil, B., Nemeth, S., Arva, P. (2003). Fuzzy Clustering Based Segmentation of Time-Series. In: R. Berthold, M., Lenz, HJ., Bradley, E., Kruse, R., Borgelt, C. (eds) Advances in Intelligent Data Analysis V. IDA 2003. Lecture Notes in Computer Science, vol 2810. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45231-7_26

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-45231-7_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40813-0

  • Online ISBN: 978-3-540-45231-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics