TY - JOUR AU - Dhillon, Inderjit S. AU - Modha, Dharmendra S. AU - Spangler, W. Scott T1 - Class visualization of high-dimensional data with applications JO - Computational Statistics & Data Analysis PY - 2002/november VL - 41 IS - 1 SP - 59 EP - 90 UR - http://www.cs.utexas.edu/~inderjit/public_papers/csda.pdf DO - KW - alphaworks KW - cluster KW - clustering KW - dm KW - visualization L1 - SN - N1 - N1 - AB - No abstract is available for this item. ER - TY - JOUR AU - Bezdek, J. C. AU - Li, W. Q. AU - Attikiouzel, Y. AU - Windham, M. T1 - A geometric approach to cluster validity for normal mixtures JO - Soft Computing - A Fusion of Foundations, Methodologies and Applications PY - 1997/12 VL - 1 IS - 4 SP - 166 EP - 179 UR - http://dx.doi.org/10.1007/s005000050019 DO - KW - cluster KW - evaluation KW - index L1 - SN - N1 - SpringerLink - Journal Article N1 - AB - We study indices for choosing the correct number of components in a mixture of normal distributions. Previous studies have been confined to indices based wholly on probabilistic models. Viewing mixture decomposition as probabilistic clustering (where the emphasis is on partitioning for geometric substructure) as opposed to parametric estimation enables us to introduce both fuzzy and crisp measures of cluster validity for this problem. We presume the underlying samples to be unlabeled, and use the expectation-maximization (EM) algorithm to find clusters in the data. We test 16 probabilistic, 3 fuzzy and 4 crisp indices on 12 data sets that are samples from bivariate normal mixtures having either 3 or 6 components. Over three run averages based on different initializations of EM, 10 of the 23 indices tested for choosing the right number of mixture components were correct in at least 9 of the 12 trials. Among these were the fuzzy index of Xie-Beni, the crisp Davies-Bouldin index, and two crisp indices that are recent generalizations of Dunn's index.

ER - ER - TY - BOOK AU - Kaufman, L. AU - Rousseeuw, P. J. A2 - T1 - Finding Groups in Data: An Introduction to Cluster Analysis PB - John Wiley C1 - PY - 1990/ VL - IS - SP - EP - UR - DO - KW - clustering KW - evaluation KW - cluster L1 - SN - 1-58133-109-7 N1 - N1 - AB - ER - TY - JOUR AU - Rand, W.M. T1 - Objective criteria for the evaluation of clustering methods JO - Journal of the American Statistical Association PY - 1971/ VL - 66 IS - 336 SP - 846 EP - 850 UR - DO - KW - cluster KW - clustering KW - criteria KW - evaluation KW - index KW - rand L1 - SN - N1 - N1 - AB - ER -