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The Remarkable Simplicity of Very High Dimensional Data: Application of Model-Based Clustering

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  • Fionn Murtagh

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  • Fionn Murtagh, 2009. "The Remarkable Simplicity of Very High Dimensional Data: Application of Model-Based Clustering," Journal of Classification, Springer;The Classification Society, vol. 26(3), pages 249-277, December.
  • Handle: RePEc:spr:jclass:v:26:y:2009:i:3:p:249-277
    DOI: 10.1007/s00357-009-9037-9
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    References listed on IDEAS

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    1. Peter Hall & J. S. Marron & Amnon Neeman, 2005. "Geometric representation of high dimension, low sample size data," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 67(3), pages 427-444, June.
    2. Francis Cailliez, 1983. "The analytical solution of the additive constant problem," Psychometrika, Springer;The Psychometric Society, vol. 48(2), pages 305-308, June.
    3. F. Murtagh, 2005. "Identifying the ultrametricity of time series," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 43(4), pages 573-579, February.
    4. Frank Critchley & Willem Heiser, 1988. "Hierarchical trees can be perfectly scaled in one dimension," Journal of Classification, Springer;The Classification Society, vol. 5(1), pages 5-20, March.
    5. Jacques Benasseni & Mohammed Bennani Dosse & Serge Joly, 2007. "On a General Transformation Making a Dissimilarity Matrix Euclidean," Journal of Classification, Springer;The Classification Society, vol. 24(1), pages 33-51, June.
    6. Hornik, Kurt, 2005. "A CLUE for CLUster Ensembles," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 14(i12).
    7. Jacques Benasseni & Mohammed Bennani Dosse & Serge Joly, 2007. "On a General Transformation Making a Dissimilarity Matrix Euclidean," Journal of Classification, Springer;The Classification Society, vol. 24(2), pages 303-304, September.
    8. Willem Heiser, 2004. "Geometric representation of association between categories," Psychometrika, Springer;The Psychometric Society, vol. 69(4), pages 513-545, December.
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    Citations

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    Cited by:

    1. Bouveyron, Charles & Brunet-Saumard, Camille, 2014. "Model-based clustering of high-dimensional data: A review," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 52-78.
    2. Patrick Erik Bradley, 2017. "Finding Ultrametricity in Data using Topology," Journal of Classification, Springer;The Classification Society, vol. 34(1), pages 76-84, April.
    3. Patrick Erik Bradley, 2019. "On the Logistic Behaviour of the Topological Ultrametricity of Data," Journal of Classification, Springer;The Classification Society, vol. 36(2), pages 266-276, July.

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