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Data cluster analysis: Abrupt transition

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  • Falk, H.
  • Falk, C.T.

Abstract

A cluster analysis optimization technique for partitioning data is applied to a class of distributions which are functions of a single variable. It is shown that under certain realizable conditions an infinitesimal change in the data distribution causes a large, abrupt change in the location of the optimal boundary separating two data clusters. This abrupt (phase) transition is illustrated with an example.

Suggested Citation

  • Falk, H. & Falk, C.T., 1978. "Data cluster analysis: Abrupt transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 90(2), pages 325-332.
    • Handle: RePEc:eee:phsmap:v:90:y:1978:i:2:p:325-332
    DOI: 10.1016/0378-4371(78)90118-8
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    References listed on IDEAS

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    1. den Ouden, L.W.J. & Capel, H.W. & Perk, J.H.H. & Tindemans, P.A.J., 1976. "Systems with separable many-particle interactions. I," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(1), pages 51-70.
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