Partition: Square Data Table

  • Boris Mirkin
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 11)

Abstract

  • Forms of representing and comparing partitions are reviewed.

  • Mathematical analysis of some of the agglomerative clustering axioms is presented.

  • Approximation clustering methods for aggregating square data tables are suggested along with associated mathematical theories:
    • Uniform partitioning as based on a “soft” similarity threshold;

    • Structured partitioning (along with the structure of between-class associations);

    • Aggregation of mobility and other aggregable interaction data as based on chi-squared criterion and underlying substantive modeling.

Keywords

Entropy Covariance Transportation Agglomeration Triad 

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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Boris Mirkin
    • 1
  1. 1.DIMACSRutgers UniversityUSA

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