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A Synthesis Plot of PCP and MDS for the Exploration of High Dimensional Time Series Data

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Transactions on Edutainment XIII

Part of the book series: Lecture Notes in Computer Science ((TEDUTAIN,volume 10092))

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Abstract

Nowadays, high dimensional time series data draws more and more attention. But it is a great challenge to analyze high dimensional time series data. At present, typical methods for high dimensional time series data visualization, including ThemeRiver and Parallel Coordinates Plots, cannot reveal the distribution of the data state nor the evolution of data with time variation. And they also cannot explore the relationship between attributes of the high dimensional data and data state. In this paper, a synthetic visualization system combining Parallel Coordinates Plots and Multidimensional Scaling (MDS) is proposed for the analysis of multivariate time series data. The state distribution diagram is firstly achieved by mapping high dimensional series data onto the two-dimension space using MDS method. Distance of data points on the state distribution diagram reflects the similarity within time slices while the density indicates the state distribution of the dataset. The original dataset is then mapped on the Parallel Coordinates. Through the interaction of Parallel Coordinates and the state distribution diagram, users are able to detect evolution of time series data and explore the relationship within multiple dimensions under different states of data.

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References

  1. Jolliffe, I.: Principal Component Analysis. Wiley, New York (2002)

    MATH  Google Scholar 

  2. Catmull, E.: A tutorial on compensation tables. ACM SIGGRAPH Comput. Graph. 13(2), 1–7 (1979). ACM

    Article  Google Scholar 

  3. Tatu, A., et al.: Automated analytical methods to support visual exploration of high-dimensional data. IEEE Trans. Vis. Comput. Graph. 17(5), 584–597 (2011)

    Article  Google Scholar 

  4. Inselberg, A.: The plane with parallel coordinates. Vis. Comput. 1(2), 69–91 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  5. Rübel, O., et al.: PointCloudXplore: visual analysis of 3D gene expression data using physical views and parallel coordinates. In: The Eurographics Association, pp. 203–210 (2006)

    Google Scholar 

  6. Andrienko, G., Andrienko, N.: Constructing parallel coordinates plot for problem solving. In: 1st International Symposium on Smart Graphics (2001)

    Google Scholar 

  7. Siirtola, H.: Combining parallel coordinates with the reorderable matrix. In: Proceedings of International Conference on Coordinated and Multiple Views in Exploratory Visualization, pp. 63–74. IEEE (2003)

    Google Scholar 

  8. Havre, S., et al.: ThemeRiver: visualizing thematic changes in large document collections. IEEE Trans. Vis. Comput. Graph. 8(1), 9–20 (2002)

    Article  Google Scholar 

  9. Imrich, P., et al.: Interactive Poster: 3D ThemeRiver. Cg.tuwien.ac.at

  10. Van Wijk, J.J., Van Selow, E.R.: Cluster and calendar based visualization of time series data. In: IEEE Symposium on Information Visualization, p. 4. IEEE Computer Society (1999)

    Google Scholar 

  11. Muller, W., Schumann, H.: Visualization methods for time-dependent data - an overview. In: Proceedings of the IEEE Simulation Conference, vol. 1, pp. 737–745 (2003)

    Google Scholar 

  12. Jackle, D., et al.: Temporal MDS plots for analysis of multivariate data. IEEE Trans. Vis. Comput. Graph. 22(1), 141–150 (2016)

    Article  Google Scholar 

  13. Bellman, R., Kalaba, R.: On adaptive control processes. IRE Trans. Autom. Control 4(2), 1–9 (1959)

    Article  MATH  Google Scholar 

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Acknowledgments

The authors wish to thank the anonymous reviews for their valuable comments. This work is supported by the National Natural Science Foundation of China (NSFC) under grant No. 61402487.

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Correspondence to Yingmei Wei .

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Ma, H., Wei, Y., Du, X. (2017). A Synthesis Plot of PCP and MDS for the Exploration of High Dimensional Time Series Data. In: Pan, Z., Cheok, A., Müller, W., Zhang, M. (eds) Transactions on Edutainment XIII. Lecture Notes in Computer Science(), vol 10092. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-54395-5_4

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  • DOI: https://doi.org/10.1007/978-3-662-54395-5_4

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  • Online ISBN: 978-3-662-54395-5

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