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Tight Bounds on the Estimation Distance Using Wavelet

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Advances in Web-Age Information Management (WAIM 2006)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4016))

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Abstract

Time series similarity search is of growing importance in many applications. Wavelet transforms are used as a dimensionality reduction technique to permit efficient similarity search over high-dimensional time series data. This paper proposes the tight upper and lower bounds on the estimation distance using wavelet transform, and we show that the traditional distance estimation is only part of our lower bound. According to the lower bound, we can exclude more dissimilar time series than traditional method. And according to the upper bound, we can directly judge whether two time series are similar, and further reduce the number of time series to process in original time domain. The experiments have shown that using the upper and lower tight bounds can significantly improve filter efficiency and reduce running time than traditional method.

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References

  1. Faloutsos, C., Ranganathan, M., Manolopoulos, Y.: Fast subsequence matching in timeseries databases. In: Proc. of SIGMOD 1994 (1994)

    Google Scholar 

  2. Agrawal, R., Faloutsos, C., Swami, A.: Efficient similarity search in sequence databases. In: Proc. of the 4th FODO (1993)

    Google Scholar 

  3. Siney Burrus, C., Gopinath, R.A., Guo, H.: Introduction to Wavelets and Wavelet Transforms, A Primer. Prentice Hall, Englewood Cliffs (1997)

    Google Scholar 

  4. Stollnitz, E.J., Derose, T.D., Salesin, D.H.: Wavelets for Computer Graphics. Morgan Kaufmann, San Francisco (1996)

    Google Scholar 

  5. Hua, H., Xueling, W., Silong, P.: Image Restoration Based on Wavelet-Domain Local Gaussian Model. Journal of Software 15(3), 443–450 (2004)

    MATH  Google Scholar 

  6. Chan, K., Fu, A.W.: Efficient time series matching by wavelets. In: Proc. of ICDE 1999 (1999)

    Google Scholar 

  7. Haiqin, Z., Qingsheng, C.: Time Series Similar Pattern Matching Based on Wavelet Transform. Chinese Journal of Computers 26(3), 372–377 (2003)

    Google Scholar 

  8. Popivanov, I., Miller, R.J.: Similarity search over time series data using wavelets. In: Proc. of ICDE 2002 (2002)

    Google Scholar 

  9. Hui, Z., Jianrong, H., Baile, S.: Research on Similarity of Stochastic Non-Stationary Time Series Based on Wavelet-Fractal. Journal of Software 15(5), 633–640 (2004)

    MATH  MathSciNet  Google Scholar 

  10. Cheng, Z., Weiming, O., Qingsheng, C.: An Efficient dimensionality reduction technique for times series data sets. Mini-Macro System 23(11), 1380–1383 (2002)

    Google Scholar 

  11. Vitter, J.S., Wang, M.: Approximate computation of multidimensional aggregates of sparse data using wavelets. In: Proc. of SIGMOD 1999 (1999)

    Google Scholar 

  12. Chakrabarti, K., Garofalakis, M., Rastogi, R., Shim, K.: Approximate Query Processing Using Wavelets. The VLDB Journal 10(3), 199–223 (2001)

    MATH  Google Scholar 

  13. Deligiannakis, A., Roussopoulos, N.: Extended wavelets for multiple measures. In: Proc. of SIGMOD 2003 (2003)

    Google Scholar 

  14. Sheikholeslami, G., Chatterjee, S., Zhang, A.: Wavecluster: a wavelet based clustering approach for spatial data in very large databases. VLDB Journal, 289–304 (2000)

    Google Scholar 

  15. http://finance.yahoo.com/

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© 2006 Springer-Verlag Berlin Heidelberg

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Liu, B., Wang, Z., Li, J., Wang, W., Shi, B. (2006). Tight Bounds on the Estimation Distance Using Wavelet. In: Yu, J.X., Kitsuregawa, M., Leong, H.V. (eds) Advances in Web-Age Information Management. WAIM 2006. Lecture Notes in Computer Science, vol 4016. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11775300_39

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  • DOI: https://doi.org/10.1007/11775300_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35225-9

  • Online ISBN: 978-3-540-35226-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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