Skip to main content

Abstract

We present a new clustering procedure called K-midranges clustering. K-midranges is analogous to the traditional K-Means procedure for clustering interval scale data. The K-midranges procedure explicitly optimizes a loss function based on the L, norm (defined as the limit of an Lp norm as p approaches infinity).

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

Access this chapter

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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  • Carroll, J. D., & Chaturvedi, A. D. (1995). A General Approach to Clustering and Multidimensional Scaling of Two-way, Three-way, or Higher-way Data, in Geometric Representations of Perceptual Phenomena: Papers in Honor of Tarow Indow’s 70th Birthday. Luce, R. D., D’Zmura, M., Hoffman, D. D., Iverson, G., & Romney, A. K. (Eds.), Lawrence Erlbaum, 295 - 318.

    Google Scholar 

  • Chaturvedi, A. D., Carroll, J. D., Green, P., and Rotondo, J. A. (1997). A Feature based Approach to Market Segmentation via Overlapping K-centroids Clustering. Journal of Marketing Research, 34, 370–377

    Article  Google Scholar 

  • Chaturvedi, A. D., Paul E. Green, and J. Douglas Carroll (1996). Market Segmentation via K-modes clustering. Invited paper presented at the American Statistical Association conference held in Chicago.

    Google Scholar 

  • Hartigan, J. A. (1975). Clustering Algorithms, Wiley, New York.

    Google Scholar 

  • Hubert, L., & Phipps Arabie (1985). Comparing Partitions. Journal of Classification, 2, 193–218.

    Article  Google Scholar 

  • Jain, A. K. & Richard C. Dubes (1988), Algorithms for Clustering Data, Prentice- Hall, New Jersey.

    Google Scholar 

  • Kaufman, L. & Peter J. Rousseeuw (1989). Finding Groups in Data: An Introduction to Cluster Analysis, Wiley, New York.

    Google Scholar 

  • MacQueen, J. B. (1967). Some Methods for Classification and Analysis of Multivariate Observations, in Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability. LeCam, L. M., & Neyman, J. (Eds.), 1, 281–297.

    Google Scholar 

  • Mirkin, J. B. (1990). A Sequential Fitting Procedure for Linear Data Analysis Models. Journal of Classification, 7, 167–195.

    Article  Google Scholar 

  • Vinod, H. D. (1969). Integer Programming and Theory of Grouping. Journal of the American Statistical Association, 64, 506–519.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Carroll, J.D., Chaturvedi, A. (1998). K-midranges clustering. In: Rizzi, A., Vichi, M., Bock, HH. (eds) Advances in Data Science and Classification. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72253-0_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-72253-0_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64641-9

  • Online ISBN: 978-3-642-72253-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics