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An Improved Piecewise Aggregate Approximation Based on Statistical Features for Time Series Mining

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Knowledge Science, Engineering and Management (KSEM 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6291))

Abstract

Piecewise Aggregate Approximation (PAA) is a very simple dimensionality reduction method for time series mining. It minimizes dimensionality by the mean values of equal sized frames, which misses some important information and sometimes causes inaccurate results in time series mining. In this paper, we propose an improved PAA, which is based on statistical features including a mean-based feature and variance-based feature. We propose two versions of the improved PAA which have the same preciseness except for the different CPU time cost. Meanwhile, we also provide theoretical analysis for their feasibility and prove that our method guarantees no false dismissals. Experimental results demonstrate that the improved PAA has better tightness of lower bound and more powerful pruning ability.

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References

  1. Faloutsos, C., Ranganathan, M., Manolopoulos, Y.: Fast subsequence matching in time series databases. In: Proceedings of the ACM SIGMOD International Conference on Management of Data, pp. 419–429 (1994)

    Google Scholar 

  2. Popivanov, I., Miller, R.J.: Similarity search over time-series data using wavelets. In: Proceedings of the 18th International Conference on Data Engineering, pp. 212–221 (2002)

    Google Scholar 

  3. Theodoridis, S., Koutroumbas, K.: Feature generation I: data transformation and dimensionality reduction. In: Pattern Recognition, 4th edn., pp. 323–409 (2009)

    Google Scholar 

  4. Lin, J., Keogh, E.: A symbolic representation of time series with implications for streaming algorithms. In: Proceedings of the 8th ACM SIGMOD Workshop on Research Issues in Data Mining and Knowledge Discovery, pp. 2–11 (2003)

    Google Scholar 

  5. Keogh, E., Lin, J., Fu, A.: Hot sax: efficiently finding the most unusual time series subsequence. In: Proceedings of the 5th IEEE International Conference on Data Mining, pp. 226–233 (2005)

    Google Scholar 

  6. Lin, J., Keogh, E., Wei, L., Lonardi, S.: Experiencing SAX: a novel symbolic representation of time series. Data Mining and Knowledge Discovery 15, 107–144 (2007)

    Article  MathSciNet  Google Scholar 

  7. Keogh, E., Chakrabarti, K., Mehrotra, S., Pazzani, M.: Locally adaptive dimensionality reduction for indexing large time series databases. In: Proceedings of the ACM SIGMOD Conference on Management of Data, pp. 151–162 (2001)

    Google Scholar 

  8. Rabiner, L., Juang, B.H.: Fundamentals of speech recognition. Prentice Hall, Englewood Cliffs (1993)

    Google Scholar 

  9. Lkhagva, B., Suzuki, Y., Kawagoe, K.: New time series data representation ESAX for financial applications. In: Proceedings of the 22nd International Conference on Data Engineering Workshops, pp. 115–120 (2006)

    Google Scholar 

  10. Hung, N.Q.V., Anh, D.T.: An improvement of PAA for dimensionality reduction in large time series databases. In: Proceedings of the 10th Pacific Rim International Conference on Artificial Intelligence: Trends in Artificial Intelligence, pp. 698–707 (2008)

    Google Scholar 

  11. Pham, D.T., Chan, A.B.: Control chart pattern recognition using a new type of self organizing neural network. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 212, 115–127 (1998)

    Article  Google Scholar 

  12. Keogh, E., Ratanamahatana, C.A.: Exact indexing of dynamic time warping. Knowledge and Information Systems 7, 358–386 (2005)

    Article  Google Scholar 

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Guo, C., Li, H., Pan, D. (2010). An Improved Piecewise Aggregate Approximation Based on Statistical Features for Time Series Mining. In: Bi, Y., Williams, MA. (eds) Knowledge Science, Engineering and Management. KSEM 2010. Lecture Notes in Computer Science(), vol 6291. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15280-1_23

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  • DOI: https://doi.org/10.1007/978-3-642-15280-1_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15279-5

  • Online ISBN: 978-3-642-15280-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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