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Graph Partitioning by Correspondence Analysis and Taxicab Correspondence Analysis

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  • Vartan Choulakian
  • Jules Tibeiro

Abstract

We consider correspondence analysis (CA) and taxicab correspondence analysis (TCA) of relational datasets that can mathematically be described as weighted loopless graphs. Such data appear in particular in network analysis. We present CA and TCA as relaxation methods for the graph partitioning problem. Examples of real datasets are provided. Copyright Springer Science+Business Media New York 2013

Suggested Citation

  • Vartan Choulakian & Jules Tibeiro, 2013. "Graph Partitioning by Correspondence Analysis and Taxicab Correspondence Analysis," Journal of Classification, Springer;The Classification Society, vol. 30(3), pages 397-427, October.
    • Handle: RePEc:spr:jclass:v:30:y:2013:i:3:p:397-427
    DOI: 10.1007/s00357-013-9145-4
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    References listed on IDEAS

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    1. Choulakian, Vartan, 2005. "Transposition invariant principal component analysis in L1 for long tailed data," Statistics & Probability Letters, Elsevier, vol. 71(1), pages 23-31, January.
    2. V. Choulakian, 2008. "Taxicab Correspondence Analysis of Contingency Tables with One Heavyweight Column," Psychometrika, Springer;The Psychometric Society, vol. 73(2), pages 309-319, June.
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    Cited by:

    1. Douglas L. Steinley, 2016. "Editorial," Journal of Classification, Springer;The Classification Society, vol. 33(2), pages 167-170, July.
    2. Das, Subasish & Tawhidur Rahman, Md & Kabir, Nuzhat & Oviedo-Trespalacios, Oscar & Dey, Kakan & Mahmud Hossain, Md, 2023. "Do people act differently while using ridesharing services with children?," Transportation Research Part A: Policy and Practice, Elsevier, vol. 171(C).
    3. Vartan Choulakian & Biagio Simonetti & Thu Pham Gia, 2014. "Some new aspects of taxicab correspondence analysis," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 23(3), pages 401-416, August.

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