Skip to main content

A Novel Fractal Representation for Dimensionality Reduction of Large Time Series Data

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5476))

Abstract

Recent research has attempted to speed up time series data mining tasks which focus on dimensionality reduction, indexing, and lower bounding function, among many others. For large time series data, current dimensionality reduction techniques cannot reduce the total dimensions of time series data by a large margin without losing their global characteristics. In this paper, we introduce a novel Fractal Representation which uses merely three real values to represent a whole time series data sequence. Moreover, our proposed representation can be efficiently used under Euclidean distance. We demonstrate effectiveness and utility of our novel Fractal Representation on classification problems and our proposed method outperforms existing methods in terms of speed performance and accuracy. Our results reconfirm that this representation can effectively represent global characteristics of the data, especially in larger time series data.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ratanamahatana, C.A., Keogh, E.: Three Myths about Dynamic Time Warping. In: Proceedings of SIAM International Conference on Data Mining (SDM 2005), pp. 506–510 (2005)

    Google Scholar 

  2. Keogh, E., Ratanamahatana, C.A.: Exact Indexing of Dynamic Time Warping. In: Knowledge and Information Systems (KAIS), pp. 358–386 (2005)

    Google Scholar 

  3. Keogh, E., Lonardi, S., Ratanamahatana, C.A.: Towards Parameter-Free Data Mining. In: Proceedings of 10th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining (2004)

    Google Scholar 

  4. Lin, J., Keogh, E., Lonardi, S., Chiu, B.: A Symbolic Representation of Time Series, with Lmplications for Streaming Algorithms. In: Proceedings of the 8th ACM SIGMOD Workshop on Research Issues in Data Mining and Knowledge Discovery, pp. 460-469 (2003)

    Google Scholar 

  5. Bagnall, A., Janacek, G.: Clustering Time Series with Clipped Data. Machine Learning Journal, 151–178 (2005)

    Google Scholar 

  6. Barbará, D., Chen, P.: Using the Fractal Dimension to Cluster Datasets. In: Proceedings of 6th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, Boston, MA, pp. 260–264 (August 2000)

    Google Scholar 

  7. Xiao, H., Zhi-Zhong, W., Xiao-mei, R.: Classification of surface EMG signal with fractal dimension. Journal of Zhejiang University SCIENCE (JZUS) (May 30, 2005)

    Google Scholar 

  8. Peitgen, H.O., Jurgens, H., Saupe, D.: Chaos and Fractals New Frontiers of Science (2003)

    Google Scholar 

  9. Grassberger, P., Procaccia, I.: Measuring the strangeness of strange attractors. Physica D

    Google Scholar 

  10. Keogh, E., Xi, X., Wei, L., Ratanamahatana, C.A.: The UCR Time Series Data Mining Archive, University of California, Computer Science & Engineering Department, Riverside CA (2006), http://www.cs.ucr.edu/~eamonn/TSDMA/datasets.html

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Sajjipanon, P., Ratanamahatana, C.A. (2009). A Novel Fractal Representation for Dimensionality Reduction of Large Time Series Data. In: Theeramunkong, T., Kijsirikul, B., Cercone, N., Ho, TB. (eds) Advances in Knowledge Discovery and Data Mining. PAKDD 2009. Lecture Notes in Computer Science(), vol 5476. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01307-2_105

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-01307-2_105

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01306-5

  • Online ISBN: 978-3-642-01307-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics