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Extra info for Handbook of Pattern Recognition & Computer Vision, Second Edition
Criteria for these operations are chosen heuristically. For example, one can choose k patterns at random as seed points. One can also choose k patterns that are reasonably separated from one another as seed points. In any event, the algorithm should be run with different seed points to seek the best clustering. Any program for implementing a partitional clustering method involves several parameters. The primary ones are K and any parameters associated with splitting clusters, lumping clusters, and identifying outliers.
The C index is a normalized form of the r statistic  proposed to measure the correlation between spatial observations and time. Let c ( q , r ) be 1 if patterns xq and x, are in the same cluster and 0 if not. Let d(q, r ) denote the dissimilarity, or Euclidean distance, between the two patterns. The “raw” r statistic is: n-1 n g=l r=q+l The dissimilarities need not be distances. Let a K be the number of pairs of patterns in which both patterns are in the same cluster. Define the following two statistics as the smallest and largest possible values of I?
Much. Intell. 1 (1979) 25-37.  N. Wyse, R. Dubes and A. K. Jain, A critical evaluation of intrinsic dimensionality algorithms, in E. S. Gelsema and L. N. ), Pattern Recognition in Practzce (North-Holland Amsterdam, 1980) p. 415-425.  K. Falconer, Fractal Geometry (John Wiley & Sons, New York, NY, 1990).  J. Theiler, Estimating fractal dimension, J. Opt. Am. A 7 (1990) 1055-1073.  B. S. Everitt, Graphical Techniques for Multivariate Data (Elsevier North-Holland, New York, NY, 1978).