Skip to main content
SpringerLink
Log in

Assignment Methods in Clustering

  • Reference work entry
Encyclopedia of Optimization

Article Outline

Keywords

Weighting Schemes for the Fixed (Target) Matrix Q

  Single Cluster Statistics

  Partition Statistics

  Partition Hierarchy Statistics

Alternative Assignment Indices

Modifications of the Target Matrix Q

See also

References

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 2,500.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 2,499.99
Price excludes VAT (USA)
  • Durable hardcover 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

References

  1. Carroll JD, Arabie P (1998) Multidimensional scaling. In: Birnbaum MH (ed) Measurement, judgement, and decision making. Handbook Perception and Cognition. Acad Press, New York, pp 179–250

    Google Scholar 

  2. De Soete G, Carroll JD (1996) Tree and other network models for representing proximity data. In: Arabie P, Hubert LJ, De Soete G (eds) Clustering and classification. World Sci, Singapore, pp 157–198

    Google Scholar 

  3. Gibbons JD (1971) Nonparametric statistical inference. McGraw-Hill, New York

    MATH  Google Scholar 

  4. Hubert LJ (1980) Analyzing proximity matrices: The assessment of internal variation in combinatorial structure. J Math Psych 21:247–264

    MathSciNet  Google Scholar 

  5. Hubert LJ (1987) Assignment methods in combinatorial data analysis. M. Dekker, New York

    MATH  Google Scholar 

  6. Hubert LJ, Arabie P (1994) The analysis of proximity matrices through sums of matrices having (anti-)Robinson forms. British J Math Statist Psych 47:1–40

    MATH  Google Scholar 

  7. Hubert LJ, Arabie P (1995) Iterative projection strategies for the least-squares fitting of tree structures to proximity data. British J Math Statist Psych 48:281–317

    MATH  Google Scholar 

  8. Hubert LJ, Arabie P, Meulman J (1997) Linear and circular unidimensional scaling for symmetric proximity matrices. British J Math Statist Psych 50:253–284

    MathSciNet  MATH  Google Scholar 

  9. Mielke PW, Berry KJ, Johnson ES (1976) Multi-response permutation procedures for a priori classifications. Comm Statist A5:1409–1424

    Google Scholar 

  10. Mirkin B (1996) Mathematical classification and clustering. Kluwer, Dordrecht

    MATH  Google Scholar 

  11. Pardalos PM, Wolkowicz H (eds) (1994) Quadratic assignment and related problems. DIMACS, Amer. Math. Soc., Providence, RI

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University Illinois, Champaign, USA

    L. J. Hubert

  2. Rutgers University, Newark, USA

    P. Arabie

Authors
  1. L. J. Hubert
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. Arabie
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Chemical Engineering, Princeton University, Princeton, NJ, 08544-5263, USA

    Christodoulos A. Floudas

  2. Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611-6595, USA

    Panos M. Pardalos

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag

About this entry

Cite this entry

Hubert, L.J., Arabie, P. (2008). Assignment Methods in Clustering . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_19

Download citation

Publish with us

Policies and ethics

Search

Navigation