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Improved Sammon Mapping Method for Visualization of Multidimensional Data

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7654))

Abstract

Three improvements to the Sammon mapping method are proposed. Two of them concern calculation complexity reduction. Introducing the limit for delta parameter allows to eliminate error fluctuations during data projection. Calculating distances not for all data points but for the part of them results in important reduction of the calculation time without worsening the final results. The third improvement allows adding new data to the projected ones without recalculation of all data from the beginning. The paper presents details of the proposed improvements and the performed experimental study.

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References

  1. Card, S., Mackinlay, J., Shneiderman, B.: Readings in Information Visualization - Using Vision to Think. Morgan Kaufmann (1999)

    Google Scholar 

  2. Keller, P.R., Keller, M.M.: Visual Cues. IEEE Press, Los Alamitos (1993)

    Google Scholar 

  3. Becker, B.G.: Volume rendering for relational data. In: IEEE Symposium on Information Visualization (InfoVis 1997), pp. 87–91 (1997)

    Google Scholar 

  4. Chambers, J., Cleveland, W., Kleiner, B., Tukey, P.: Graphical Methods for Data Analysis. Wadsworth (1983)

    Google Scholar 

  5. Inselberg, A.: The Plane with Parallel Coordinates. Special Issue on Computational Geometry: The Visual Computer 1, 69–91 (1985)

    MATH  Google Scholar 

  6. Alley, T.R.: Physionomy and Social Perception. In: Social and Applied Aspects of Perceiving Faces, pp. 167–185 (1988)

    Google Scholar 

  7. Gibson, J.J.: The perception of the visual world. Houghton Mifflin Co., Boston (1950)

    Google Scholar 

  8. Pickett, R.M.: Response latency in a pattern perception situation. Acta Psychologica (27), 160–169 (1967)

    Google Scholar 

  9. Miller, G.: The magic number seven, plus or minus two: some limits on our capacity for processing information. Psychological Review 63, 276–291 (1956)

    Article  Google Scholar 

  10. Agrafiotis, D.K., Rassokhin, D.N., Lobanov, V.S.: Multidimensional scaling and visualization of large molecular similarity tables. Journal of Computational Chemistry 5(22), 488–500 (2001)

    Google Scholar 

  11. Lahdesmaki, H., Yli-Harja, O., Shmulevich, I., Zhang, W.: Distinguishing key biological pathways by knowledge based multidimensional scaling analysis: application to discriminate between primary breast cancers and their lymph node metastases. In: Yli-Harja, O., Shmulevich, I., Aho, T. (eds.) Proc. of the TICSP Workshop in Computational Systems Biology, WCSB 2003, Finland, vol. (21) (2003)

    Google Scholar 

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

    Google Scholar 

  13. Karbauskaite, R., Dzemuda, G.: Multidimensional data projection algorithms saving calculations of distances. 123X Information Technology and Control (35) (2006)

    Google Scholar 

  14. Newman, A.A.: UCI Machine Learning Repository. University of California (2007), http://archive.ics.uci.edu/ml/index.html

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© 2012 Springer-Verlag Berlin Heidelberg

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Kwasnicka, H., Siemionko, P. (2012). Improved Sammon Mapping Method for Visualization of Multidimensional Data. In: Nguyen, NT., Hoang, K., Jȩdrzejowicz, P. (eds) Computational Collective Intelligence. Technologies and Applications. ICCCI 2012. Lecture Notes in Computer Science(), vol 7654. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34707-8_5

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  • DOI: https://doi.org/10.1007/978-3-642-34707-8_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34706-1

  • Online ISBN: 978-3-642-34707-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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