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Pixel-Based Visualization and Density-Based Tabular Model

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Pixelization Paradigm (VIEW 2006)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4370))

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Abstract

Visualization of the massive datasets needs new methods which are able to quickly and easily reveal their contents. The projection of the data cloud is an interesting paradigm in spite of its difficulty to be explored when data plots are too numerous. So we study a new way to show a bidimensional projection from a multidimensional data cloud: our generative model constructs a tabular view of the projected cloud. We are able to show the high densities areas by their non equidistributed discretization. This approach is an alternative to the self-organizing map when a projection does already exist. The resulting pixel views of a dataset are illustrated by projecting a data sample of real images: it becomes possible to observe how are laid out the class labels or the frequencies of a group of modalities without being lost because of a zoom enlarging change for instance. The conclusion gives perspectives to this original promising point of view to get a readable projection for a statistical data analysis of large data samples.

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References

  1. Sammon, J.W.: A nonlinear mapping for data structure analysis. IEEE Transactions on Computers 5(18C), 401–409 (1969)

    Article  Google Scholar 

  2. Demartines, P., Herault, J.: Curvilinear component analysis: A self-organizing neural network for nonlinear mapping of data sets. IEEE Transactions on Neural Networks 8(1), 148–154 (1997)

    Article  Google Scholar 

  3. Roweis, S.T., Saul, L.K.: Nonlinear dimensionality reduction by locally linear embedding. Science 290(5500), 2323–2326 (2000)

    Article  Google Scholar 

  4. He, X., Cai, D., Min, W.: Statistical and computational analysis of locality preserving projection. In: The 22nd International Conference on Machine Learning (ICML2005), pp. 281–288 (2005)

    Google Scholar 

  5. Bishop, C.M., Svensén, M., Williams, C.K.I.: Gtm: A principles alternative to self-organizing map. Advances in Neuronal Processing System 9 (1997)

    Google Scholar 

  6. Keim, D.: Information visualization and visual data mining. IEEE Transactions on Visualization and Computer Graphics 7(1) (2002)

    Google Scholar 

  7. MacQueen, J.: Some methods for classification and analysis of multivariate observations. In: 5th Berkeley Symp. Math. Stat. and Proba., vol. 1, pp. 281–296 (1967)

    Google Scholar 

  8. Dempster, A.P., Laird, N.M., Rubin, D.B.: Maximum-likelihood from incomplete data via the em algorithm. J. Royal Statist. Soc. Ser. B. 39 (1977)

    Google Scholar 

  9. Bishop, C.M.: Neural Networks for Pattern Recognition. Clarendon Press, Oxford (1995)

    Google Scholar 

  10. Fu, J.C., Wang, L.: A random-discretization based monte carlo sampling method and its application. Methodology and Computing in Applied Probability 4, 5–25 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  11. Lebart, L., Morineau, A., Warwick, K.: Multivariate Descriptive Statistical Analysis. Wiley, Chichester (1984)

    MATH  Google Scholar 

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Authors and Affiliations

Authors

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Pierre P Lévy Bénédicte Le Grand François Poulet Michel Soto Laszlo Darago Laurent Toubiana Jean-François Vibert

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© 2007 Springer Berlin Heidelberg

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Priam, R., Nadif, M., Jollois, FX. (2007). Pixel-Based Visualization and Density-Based Tabular Model. In: Lévy, P.P., et al. Pixelization Paradigm. VIEW 2006. Lecture Notes in Computer Science, vol 4370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71027-1_10

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  • DOI: https://doi.org/10.1007/978-3-540-71027-1_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71026-4

  • Online ISBN: 978-3-540-71027-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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