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CPS2182 Lynne Billard et al.

              Data I: clustered by K-means method (City   Data I: clustered by K-means method   Data I: K-regression clustering, final
                    Block distance)          (Hausdorff distance)       (iteration 10)












                    Figure 2(a)              Figure 2(b)               Figure 2(c)


            Suppose now we take data set (IT) composed of three clusters that follow the
            equations:
                                  (1)  :  = 150.5 + 4.5 + 
                                                          1
                                  (2)  :  = 53 − 3 + 
                                                      2
                                  (3)  :  = −53 + 0.5 + 
                                                         3

            These are displayed in Figure 3.
                                          Data II with 3 underlying clusters







                                               Figure 3

            Figure 4(a) and Figure 4(b) show the result when using the -means algorithm
            for  the city  block  and  Hausdorff  distances,  respectively.  The  -regressions
            algorithm produced the partitions of Figure 4(c) (after nine iterations), again
            out-performing the  -means method.













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