Skip to main content

Analyzing the Role of Dimension Arrangement for Data Visualization in Radviz

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6119))

Abstract

The Radial Coordinate Visualization (Radviz) technique has been widely used to effectively evaluate the existence of patterns in highly dimensional data sets. A crucial aspect of this technique lies in the arrangement of the dimensions, which determines the quality of the posterior visualization. Dimension arrangement (DA) has been shown to be an NP-problem and different heuristics have been proposed to solve it using optimization techniques. However, very little work has focused on understanding the relation between the arrangement of the dimensions and the quality of the visualization. In this paper we first present two variations of the DA problem: (1) a Radviz independent approach and (2) a Radviz dependent approach. We then describe the use of the Davies-Bouldin index to automatically evaluate the quality of a visualization i.e., its visual usefulness. Our empirical evaluation is extensive and uses both real and synthetic data sets in order to evaluate our proposed methods and to fully understand the impact that parameters such as number of samples, dimensions, or cluster separability have in the relation between the optimization algorithm and the visualization tool.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ankerst, M., Berchtold, S., Keim, D.A.: Similarity clustering of dimensions for an enhanced visualization of multidimensional data. In: INFOVIS (1998)

    Google Scholar 

  2. Ankerst, M., Keim, D.A., Kriegel, H.-P.: Circle segments: A technique for visually exploring large multidimensional data sets. In: Visualization (1996)

    Google Scholar 

  3. Davies, D.L., Bouldin, D.W.: A cluster separation measure. IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI 1(2), 224–227 (1979)

    Article  Google Scholar 

  4. Hoffman, P., Grinstein, G., Marx, K., Grosse, I., Stanley, E.: Dna visual and analytic data mining. In: VIS (1997)

    Google Scholar 

  5. Hoffman, P., Grinstein, G., Pinkney, D.: Dimensional anchors: a graphic primitive for multidimensional multivariate information visualizations. In: NPIVM (1999)

    Google Scholar 

  6. Inselberg, A., Dimsdale, B.: Parallel coordinates: a tool for visualizing multi-dimensional geometry. In: VIS, Los Alamitos, CA, USA, pp. 361–378 (1990)

    Google Scholar 

  7. Kandogan, E.: Star coordinates: A multi-dimensional visualization technique with uniform treatment of dimensions. In: IEEE Information Visualization Symp. (2000)

    Google Scholar 

  8. Kovács, F., Iváncsy, R.: Cluster validity measurement for arbitrary shaped clusters. In: AIKED, Wisconsin, USA (2006)

    Google Scholar 

  9. Leban, G., Zupan, B., Vidmar, G., Bratko, I.: Vizrank: Data visualization guided by machine learning. Data Min. Knowl. Discov. 13(2), 119–136 (2006)

    Article  MathSciNet  Google Scholar 

  10. Peng, W., Ward, M.O., Rundensteiner, E.A.: Clutter reduction in multi-dimensional data visualization using dimension reordering. InfoVis (2004)

    Google Scholar 

  11. Sharko, J., Grinstein, G., Marx, K.A.: Vectorized radviz and its application to multiple cluster datasets. In: Visualization and Computer Graphics. IEEE, Los Alamitos (2008)

    Google Scholar 

  12. Yang, J., Peng, W., Ward, M.O., Rundensteiner, E.A.: Interactive hierarchical dimension ordering, spacing and filtering for exploration of high dimensional datasets. In: Proc. IEEE Symposium on Information Visualization (2003)

    Google Scholar 

  13. Yang, J., Ward, M.O., Rundensteiner, E.: Visual hierarchical dimension reduction for exploration of high dimensional datasets (2003)

    Google Scholar 

  14. Aumann, Y., Feldman, R., Yehuda, Y.B., Landau, D., Liphstat, O., Schler, Y.: Circle graphs: New visualization tools for text-mining. In: Żytkow, J.M., Rauch, J. (eds.) PKDD 1999. LNCS (LNAI), vol. 1704, pp. 277–282. Springer, Heidelberg (1999)

    Google Scholar 

  15. Zhu, H.: On information and sufficiency (1997)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Di Caro, L., Frias-Martinez, V., Frias-Martinez, E. (2010). Analyzing the Role of Dimension Arrangement for Data Visualization in Radviz. In: Zaki, M.J., Yu, J.X., Ravindran, B., Pudi, V. (eds) Advances in Knowledge Discovery and Data Mining. PAKDD 2010. Lecture Notes in Computer Science(), vol 6119. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13672-6_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-13672-6_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13671-9

  • Online ISBN: 978-3-642-13672-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics