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Mining Approximate Motifs in Time Series

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Discovery Science (DS 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4265))

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Abstract

The problem of discovering previously unknown frequent patterns in time series, also called motifs, has been recently introduced. A motif is a subseries pattern that appears a significant number of times. Results demonstrate that motifs may provide valuable insights about the data and have a wide range of applications in data mining tasks. The main motivation for this study was the need to mine time series data from protein folding/unfolding simulations. We propose an algorithm that extracts approximate motifs, i.e. motifs that capture portions of time series with a similar and eventually symmetric behavior. Preliminary results on the analysis of protein unfolding data support this proposal as a valuable tool. Additional experiments demonstrate that the application of utility of our algorithm is not limited to this particular problem. Rather it can be an interesting tool to be applied in many real world problems.

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References

  1. Azevedo, P.J., Silva, C.G., Rodrigues, J.R., Loureiro-Ferreira, N., Brito, R.M.M.: Detection of Hydrophobic Clusters in Molecular Dynamics Protein Unfolding Simulations Using Association Rules. In: Oliveira, J.L., Maojo, V., Martín-Sánchez, F., Pereira, A.S. (eds.) ISBMDA 2005. LNCS (LNBI), vol. 3745, pp. 329–337. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  2. Bailey, T., Elkan, C.: Fitting a mixture model by expectation maximization to discover motifs in biopolymers. In: Proc. of the 2th ISMB (1994)

    Google Scholar 

  3. Brito, R., Dubitzky, W., Rodrigues, J.: Protein folding and unfolding simulations: A new challenge for data mining. OMICS: A Journal of Integrative Biology (8), 153–166 (2004)

    Google Scholar 

  4. Caraca-Valente, J., Lopez-Chavarrias, I.: Discovering similar patterns in time series. In: Proc. of the 6th ACM SIGKDD (2000)

    Google Scholar 

  5. Chiu, B., Keogh, E., Lonardi, S.: Probabilistic discovery of time series motifs. In: Proceedings of the 9th ACM SIGKDD, Washington DC, USA, August 24-27 (2003)

    Google Scholar 

  6. Gunopulos, D., Das, G.: Time series similarity measures (tutorial pm-2). In: Tutorial notes of the 6th ACM SIGKDD (2000)

    Google Scholar 

  7. Han, J., Dong, G., Yin, Y.: Efficient mining of partial periodic patterns in time series database. In: Proc. of the 15th ICDE (1999)

    Google Scholar 

  8. Hettich, S., Bay, S.D.: The uci kdd archive irvine, CA, Department of Information and Computer Science, University of California (1999), http://kdd.ics.uci.edu

  9. Keogh, E., Kasetty, S.: On the need for time series data mining benchmarks: A survey and empricial demonstration. In: Proc. of the 8th ACM SIGKDD (2002)

    Google Scholar 

  10. Keogh, E., Lin, J., Fu, A.: Hot sax: Efficiently finding the most unusual time series subsequence. In: Proc. of the 5th IEEE ICDM (2005)

    Google Scholar 

  11. Keogh, E., Pazzani, M.: Scaling up dynamic time warping for datamining applications. In: Proc. of the 6th ACM SIGKDD (2000)

    Google Scholar 

  12. Krogh, A.: An Introduction to Hidden Markov Models for Biological Sequences, Ch. 4, pp. 45–63. Elsevier, Amsterdam (1998)

    Google Scholar 

  13. Lei, H., Govindaraju, V.: Grm: A new model for clustering linear sequences. In: Proc. of SIAM Int’l. Conference on Data Mining (2004)

    Google Scholar 

  14. Lin, J., Keogh, E., Lonardi, S., Chiu, B.: A symbolic representation of time series, with implications for streaming algorithms. In: Proc. of the 8th ACM SIGMOD workshop DMKD 2003 (2003)

    Google Scholar 

  15. Mannila, H., Toivonen, H., Verkamo, A.: Discovery of frequent episodes in event sequences. Data Mining and Knowledge Discovery 1(3), 259–289 (1997)

    Article  Google Scholar 

  16. Patel, P., Keogh, E., Lin, J., Lonardi, S.: Mining motifs in massive time series databases. In: Proc. of 2th IEEE ICDM (December 2002)

    Google Scholar 

  17. Tanaka, Y., Uehara, K.: Discover motifs in multi-dimensional time-series using the principal component analysis and the mdl principle. In: Proc. of 3th MLDM (2003)

    Google Scholar 

  18. Thompson, W., Rouchka, E., Lawrence, C.: Gibbs recursive sampler: finding transcription factor binding sites. Nucleic Acids Research 31(13), 3580–3585 (2003)

    Article  Google Scholar 

  19. Yang, J., Yu, P.S., Wang, W.: Mining surprising periodic patterns. In: Proc. of the 7th ACM SIGKDD (2001)

    Google Scholar 

  20. Zar, J.H.: Biostatistical Analysis, 4th edn. Prentice-Hall, Englewood Cliffs (1998)

    Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Ferreira, P.G., Azevedo, P.J., Silva, C.G., Brito, R.M.M. (2006). Mining Approximate Motifs in Time Series. In: Todorovski, L., Lavrač, N., Jantke, K.P. (eds) Discovery Science. DS 2006. Lecture Notes in Computer Science(), vol 4265. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11893318_12

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  • DOI: https://doi.org/10.1007/11893318_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-46491-4

  • Online ISBN: 978-3-540-46493-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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