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Non-stationary Time Series Clustering with Application to Climate Systems

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Advance Trends in Soft Computing

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 312))

Abstract

In climate science, knowledge about the system mostly relies on measured time series. A common problem of highest interest is the analysis of high-dimensional time series having different phases. Clustering in a multi-dimensional non-stationary time series is challenging since the problem is ill- posed. In this paper, the Finite Element Method of non-stationary clustering is applied to find regimes and the long-term trends in a temperature time series. One of the important attributes of this method is that it does not depend on any statistical assumption and therefore local stationarity of time series is not necessary. Results represent low-frequency variability of temperature and spatiotemporal pattern of climate change in an area despite higher frequency harmonics in time series.

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References

  1. Mudelsee, M.: Climate Time Series Analysis. Classical Statistical and Bootstrap Methods. Springer (2010)

    Google Scholar 

  2. Kremer, H., Günnemann, S., Seidl, T.: Detecting Climate Change in Multivariate Time Series Data by Novel Clustering and Cluster Tracing Techniques. In: IEEE International Conference on Data Mining Workshops, San Jose (2010)

    Google Scholar 

  3. Horenko, I.: Finite element approach to clustering of multidimensional time series. SIAM Journal on Scientific Computing 32(1), 62–83 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  4. Qi, Y., Paisely, J.W., Carin, L.: Music Analysis Using Hidden Markov Mixture Models. IEEE Transactions on Signal Processing 55(11), 5209–5224 (2007)

    Article  MathSciNet  Google Scholar 

  5. Meyer, F.G., Xilin, S.: Classification of fMRI Time Series in a Low-Dimensional Subspace with a Spatial Prior. IEEE Transactions on Medical Imaging 27(1), 87–98 (2007)

    Article  Google Scholar 

  6. Kelly, J., Hedengren, J.: A Steady-State Detection (SSD) Algorithm to Detect NonStationary Drifts in Processes. Journal of Process Control 23(3), 326–331 (2013)

    Article  Google Scholar 

  7. Metzner, P., Horenko, I.: Analysis of Persistent Non-stationary Time series and Applications. Communications in Applied Mathematics and Computational Science 7(2), 175–229 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  8. Aster, R.: Parameter Estimation and Inverse Problems. Academic Press (2013)

    Google Scholar 

  9. Zienkiewicz, O.: The Finite Element Method Its Basis and Fundamentals. Elsevier (2005)

    Google Scholar 

  10. Modarres, R., Sarhadi, A.: Rainfall Trends Analysis of Iran in the Last Half of the Twentieth Century. Journal of Geophysical Research 114(D3) (2009)

    Google Scholar 

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Correspondence to Mohammad Gorji Sefidmazgi .

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Sefidmazgi, M.G., Sayemuzzaman, M., Homaifar, A. (2014). Non-stationary Time Series Clustering with Application to Climate Systems. In: Jamshidi, M., Kreinovich, V., Kacprzyk, J. (eds) Advance Trends in Soft Computing. Studies in Fuzziness and Soft Computing, vol 312. Springer, Cham. https://doi.org/10.1007/978-3-319-03674-8_6

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  • DOI: https://doi.org/10.1007/978-3-319-03674-8_6

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03673-1

  • Online ISBN: 978-3-319-03674-8

  • eBook Packages: EngineeringEngineering (R0)

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