Skip to main content

Clustering Including Dimensionality Reduction

  • Chapter

Abstract

In this paper, new methodologies for clustering and dimensionality reduction of large data sets are illustrated. Two major types of data reduction methodologies are considered. The first are based on the simultaneous clustering of each mode of the observed multi-way data. The second are based on a clustering of the object mode to obtain mean profiles (centroids) and a factorial reduction of the other modes. These methodologies are described by a real application.

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

  • ARABIE, P. and CARROLL, J.D. (1980): MAPCLUS: A Mathematical Programming Approach to Fitting the ADCLUS model. Psychometrika, 45, 211–235.

    Article  Google Scholar 

  • BAIER, D., GAUL, W., and SCHADER, M. (1997): Two-Mode Overlapping Clustering With Applications to Simultaneous Benefit Segmentation and Market Structuring. In: R. Klar and O. Opitz (Eds.): Classification and Knowledge Organization. Springer, Berlin, 557–566.

    Google Scholar 

  • BOCK, H.H. (1987): On the interface between cluster analysis, principal components, and multidimensional scaling. In: H. Bozdogan and A.J. Gupta (Eds): Multivariate statistical modelling and data analysis, Proceedings of Advances Symposium on Multivariate Modelling and Data Analysis, Knoxville, Tennessee, May 15–16, 1987, Reidel Publishing Co., Dordrecht, 17–34.

    Google Scholar 

  • BOTH, M. and GAUL, W. (1987): Ein Vergleich zweimodaler Clusteranalyseverfahren. Methods of Operations Research, 57, 593–605.

    Google Scholar 

  • DESARBO, W.S. (1982): GENNCLUS: New Models for General Nonhierarchical Clustering Analysis. Psychometrika, 47, 446–449.

    MathSciNet  Google Scholar 

  • GAUL, W. and SCHADER, M. (1996): A New Algorithm for Two-Mode Clustering. In: H.-H. Bock and W. Polasek (Eds.): Data Analysis and Information Systems. Springer, Berlin, 15–23.

    Google Scholar 

  • ROCCI, R. and VICHI, M. (2004): Multimode partitioning, submitted.

    Google Scholar 

  • VAN MECHELEN, I., BOCK, H.H. and DE BOECK, P. (2004): Two-mode clustering a structured overview. Statistical Methods in Medical Research, to appear.

    Google Scholar 

  • VICHI, M. (2000): Double k-means Clustering for simultaneous classification of Objects and Variables. In: S. Borra, R. Rocchi, M. Vichi, and M. Schader (Eds): Advances in Classification and Data Analysis, 43–52, Springer, Berlin.

    Google Scholar 

  • VICHI, M. and KIERS, H.A.L, (2001): Factorial k-means analysis for two way data. Computational Statistics and Data Analysis, 37, 49–64.

    Article  MathSciNet  Google Scholar 

  • VICHI, M. and MARTELLA, F. (2005): Model-based clustering for block-data, submitted.

    Google Scholar 

  • VICHI, M. and SAPORTA G. (2004): Clustering and Disjoint Principal Component Analysis, submitted.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin · Heidelberg

About this chapter

Cite this chapter

Vichi, M. (2005). Clustering Including Dimensionality Reduction. In: Baier, D., Decker, R., Schmidt-Thieme, L. (eds) Data Analysis and Decision Support. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28397-8_18

Download citation

Publish with us

Policies and ethics