Skip to main content

Genetic Algorithms-Based Symbolic Aggregate Approximation

  • Conference paper
Data Warehousing and Knowledge Discovery (DaWaK 2012)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 7448))

Included in the following conference series:

Abstract

Time series data appear in a broad variety of economic, medical, and scientific applications. Because of their high dimensionality, time series data are managed by using representation methods. Symbolic representation has attracted particular attention because of the possibility it offers to benefit from algorithms and techniques of other fields in computer science. The symbolic aggregate approximation method (SAX) is one of the most important symbolic representation techniques of times series data. SAX is based on the assumption of “high Gaussianity” of normalized time series which permits it to use breakpoints obtained from Gaussian lookup tables. The use of these breakpoints is the heart of SAX. In this paper we show that this assumption of Gaussianity oversimplifies the problem and can result in very large errors in time series mining tasks. We present an alternative scheme, based on the genetic algorithms (GASAX), to find the breakpoints. The new scheme does not assume any particular distribution of the data, and it does not require normalizing the data either. We conduct experiments on different datasets and we show that the new scheme clearly outperforms the original scheme.

This work was carried out during the tenure of an ERCIM “Alain Bensoussan” Fellowship Programme. This Programme is supported by the Marie-Curie Co-funding of Regional, National and International Programmes (COFUND) of the European Commission.

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 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Affenzeller, M., Winkler, S., Wagner, S., Beham, A.: Genetic Algorithms and Genetic Programming Modern Concepts and Practical Applications. Chapman and Hall/CRC (2009)

    Google Scholar 

  2. Agrawal, R., Faloutsos, C., Swami, A.: Efficient Similarity Search in Sequence Databases. In: Lomet, D.B. (ed.) FODO 1993. LNCS, vol. 730, pp. 69–84. Springer, Heidelberg (1993)

    Chapter  Google Scholar 

  3. Agrawal, R., Lin, K.I., Sawhney, H.S., Shim, K.: Fast Similarity Search in the Presence of Noise, Scaling, and Translation in Time-Series Databases. In: Proceedings of the 21st Int’l Conference on Very Large Databases, Zurich, Switzerland, pp. 490–501 (1995)

    Google Scholar 

  4. Cai, Y., Ng, R.: Indexing Spatio-temporal Trajectories with Chebyshev Polynomials. In: SIGMOD (2004)

    Google Scholar 

  5. Chan, K., Fu, A.W.: Efficient Time Series Matching by Wavelets. In: Proc. of the 15th IEEE Int’l Conf. on Data Engineering, Sydney, Australia, March 23-26, pp. 126–133 (1999)

    Google Scholar 

  6. Ding, H., Trajcevski, G., Scheuermann, P., Wang, X., Keogh, E.: Querying and Mining of Time Series Data: Experimental Comparison of Representations and Distance Measures. In: Proc. of the 34th VLDB (2008)

    Google Scholar 

  7. Keogh, E., Chakrabarti, K., Pazzani, M., Mehrotra: Dimensionality Reduction for Fast Similarity Search in Large Time Series Databases. J. of Know. and Inform. Sys. (2000)

    Google Scholar 

  8. Keogh, E., Chakrabarti, K., Pazzani, M., Mehrotra, S.: Locally Adaptive Dimensionality Reduction for Similarity Search in Large Time Series Databases. In: SIGMOD, pp.151–162 (2001)

    Google Scholar 

  9. Keogh, E., Lin, J., Fu, A.: HOT SAX: Efficiently Finding the Most Unusual Time Series Subsequence. In: Proc. of the 5th IEEE International Conference on Data Mining (ICDM 2005), Houston, Texas, November 27-30 (2005)

    Google Scholar 

  10. Keogh, E., Zhu, Q., Hu, B., Hao, Y., Xi, X., Wei, L., Ratanamahatana, C.A.: The UCR Time Series Classification/Clustering, Homepage (2011), http://www.cs.ucr.edu/~eamonn/time_series_data/

  11. Korn, F., Jagadish, H., Faloutsos, C.: Efficiently Supporting Ad Hoc Queries in Large Datasets of Time Sequences. In: Proceedings of SIGMOD 1997, Tucson, AZ, pp. 289–300 (1997)

    Google Scholar 

  12. Haupt, R.L., Haupt, S.E.: Practical Genetic Algorithms with CD-ROM. Wiley-Interscience (2004)

    Google Scholar 

  13. Lin, J., Keogh, E., Lonardi, S., Chiu, B.Y.: A Symbolic Representation of Time Series, with Implications for Streaming Algorithms. In: DMKD 2003, pp. 2–11 (2003)

    Google Scholar 

  14. Lin, J., Keogh, E., Wei, L., Lonardi, S.: Experiencing SAX: a Novel Symbolic Representation of Time Series. DMKD Journal (2007)

    Google Scholar 

  15. Mitchell, M.: An Introduction to Genetic Algorithms. MIT Press, Cambridge (1996)

    Google Scholar 

  16. Morinaka, Y., Yoshikawa, M., Amagasa, T., Uemura, S.: The L-index: An Indexing Structure for Efficient Subsequence Matching in Time Sequence Databases. In: Proc. 5th Pacific Aisa Conf. on Knowledge Discovery and Data Mining, pp. 51–60 (2001)

    Google Scholar 

  17. Muhammad Fuad, M.M., Marteau, P.-F.: Enhancing the Symbolic Aggregate Approximation Method Using Updated Lookup Tables. In: Setchi, R., Jordanov, I., Howlett, R.J., Jain, L.C. (eds.) KES 2010. LNCS, vol. 6276, pp. 420–431. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  18. Shieh, J., Keogh, E.: iSAX. Disk-Aware Mining and Indexing of Massive Time Series Datasets. Data Mining and Knowledge Discovery (2009)

    Google Scholar 

  19. Shieh, J., Keogh, E.: iSAX: Indexing and Mining Terabyte Sized Time Series. In: Proceeding of the 14th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, Las Vegas, Nevada, USA, August 24-27 (2008)

    Google Scholar 

  20. Wei, L., Keogh, E., Xi, X.: SAXually Explict Images: Finding Unusual Shapes. In: ICDM (2006)

    Google Scholar 

  21. Yi, B.K., Faloutsos, C.: Fast Time Sequence Indexing for Arbitrary Lp Norms. In: Proceedings of the 26th International Conference on Very Large Databases, Cairo, Egypt (2000)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Muhammad Fuad, M.M. (2012). Genetic Algorithms-Based Symbolic Aggregate Approximation. In: Cuzzocrea, A., Dayal, U. (eds) Data Warehousing and Knowledge Discovery. DaWaK 2012. Lecture Notes in Computer Science, vol 7448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32584-7_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-32584-7_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-32583-0

  • Online ISBN: 978-3-642-32584-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics