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Approach to Data Clustering Based on Molecular Chemical Reactions With Various Distance Measures

Table 2: Objective function value summarized after 30 attempts. Microchips 1526IE10_002

Parameter k-means KCR
EuD SEuD ManD EuD SEuD ManD
Two-batch mixed lot (197 data points, 41 dimensions)
min 0.026981824 0.026981824 0.027030361 0.026976786 0.026976786 0.026981824
max 0.026981824 0.026981824 0.027030361 0.026981824 0.026981824 0.027030361
mean 0.026981824 0.026981824 0.027030361 0.026979305 0.026980648 0.027027312
σ 0 0 0 2.52E-06 2.13E-06 9.20E-06
V 0 0 0 0.00933682 0.007897671 0.034030838
R 0 0 0 5.04E-06 5.04E-06 4.85E-05
Three-batch mixed lot (300 data points, 41 dimensions)
min 0.048329262 0.048329262 0.048419577 0.048329262 0.048329262 0.048358367
max 0.048332067 0.048332067 0.04847852 0.048329262 0.048329262 0.048476331
mean 0.048329449 0.048329636 0.048465557 0.048329262 0.048329262 0.048460111
σ 7.00E-07 9.53E-07 1.98E-05 3.46E-18 3.46E-18 3.34E-05
V 0.001447527 0.001972639 0.040875312 7.16E-15 7.16E-15 0.068835581
R 2.80E-06 2.80E-06 5.89E-05 6.94E-18 6.94E-18 0.000117964
Four-batch mixed lot (446 data points, 62 dimensions)
min 0.011871273 0.011871273 0.012025967 0.011871273 0.011871273 0.012021142
max 0.016308472 0.016308472 0.016554985 0.011885287 0.011904385 0.013707829
mean 0.012022907 0.012906738 0.012343073 0.011873588 0.011874292 0.012097325
σ 0.000795859 0.001876659 0.001125694 4.39E-06 8.41E-06 0.000299143
V 6.619519898 14.54015291 9.12004666 0.0369922 0.070829331 2.472800111
R 0.0044372 0.0044372 0.004529018 1.40E-05 3.31E-05 0.001686687
Full mixed lot (3987 data points, 67 dimensions)
min 0.118946137 0.118946137 0.119723176 0.118946137 0.118946575 0.1197271
max 0.164975905 0.157709299 0.159640787 0.143888254 0.157709241 0.14263887
mean 0.129590909 0.129384046 0.126030278 0.125914328 0.127245642 0.124172035
σ 0.012357251 0.011716148 0.010097741 0.008068167 0.010446673 0.007021172
V 9.53558456 9.055326403 8.01215488 6.407664014 8.209847419 5.654390752
R 0.046029769 0.038763163 0.039917611 0.024942118 0.038762666 0.02291177
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