Table 1.
Comparison of clustering performance among different methods with 100 replications in terms of mean (standard deviation) for (1). : identified cluster number; (2). ARI; (3). CSA; (4). Computing time.
| N=(25,25,25,25) | N=(5,25,25,45) | |||||||
|---|---|---|---|---|---|---|---|---|
| ARI | CSA | Time (secs) | ARI | CSA | Time (secs) | |||
| Low Noise | ||||||||
| clusterMLD(GAPb) | 4.01(0.10) | 0.994(0.013) | 0.998(0.005) | 0.92 | 4.00(0.14) | 0.995(0.016) | 0.999(0.004) | 0.95 |
| clusterMLD(CH) | 4.00(0.00) | 0.994(0.013) | 0.998(0.005) | 0.92 | 3.01(0.10) | 0.921(0.025) | −(−) | 0.95 |
| KmL | 4.00(0.00) | 0.997(0.009) | 0.999(0.003) | 5.64 | 3.00(0.00) | 0.919(0.015) | −(−) | 4.98 |
| GM (B-splines) | 5.34(1.32) | 0.937(0.078) | 0.997(0.005) | 1.05 | 5.02(1.67) | 0.844(0.122) | 0.939(0.048) | 0.95 |
| uReMix | 4.32(0.49) | 0.969(0.045) | 0.999(0.003) | 0.57 | 3.04(0.20) | 0.916(0.024) | 0.875(0.083) | 0.49 |
| NPG | 3.86(0.43) | 0.950(0.119) | 0.999(0.003) | 328.97 | 4.06(0.34) | 0.968(0.028) | 0.985(0.013) | 334.22 |
| longclust | 4.02(0.14) | 0.996(0.013) | 0.999(0.003) | 12.92 | 3.94(0.40) | 0.985(0.043) | 1.000(0.002) | 12.72 |
| funHDDC | 3.93(2.08) | 0.473(0.221) | 0.705(0.069) | 20.48 | 3.37(1.81) | 0.359(0.227) | 0.756(0.088) | 17.74 |
| curvclust | 6.09(1.93) | 0.876(0.113) | 0.998(0.004) | 9.96 | 5.71(1.50) | 0.845(0.130) | 1.000(0.002) | 8.97 |
| High Noise | ||||||||
| clusterMLD(GAPb) | 4.45(0.72) | 0.901(0.079) | 0.972(0.029) | 0.99 | 3.75(0.74) | 0.890(0.126) | 0.979(0.032) | 0.98 |
| clusterMLD(CH) | 3.96(0.28) | 0.918(0.106) | 0.972(0.028) | 0.99 | 3.04(0.20) | 0.865(0.091) | 0.778(0.054) | 0.98 |
| PAM (B-splines) | 1.05(0.22) | <0.010(0.001) | −(−) | 14.7 | 1.04(0.20) | <0.010(0.001) | −(−) | 14.16 |
| KmL | 3.90(0.44) | 0.903(0.137) | 0.975(0.019) | 5.25 | 3.00(0.00) | 0.884(0.035) | −(−) | 5.00 |
| GM (B-splines) | 5.26(1.28) | 0.917(0.097) | 0.989(0.011) | 0.94 | 4.96(1.66) | 0.817(0.144) | 0.937(0.034) | 1.01 |
| uReMix | 4.87(0.75) | 0.857(0.076) | 0.969(0.026) | 0.68 | 3.73(0.69) | 0.787(0.113) | 0.824(0.060) | 0.61 |
| NPG | 4.07(0.97) | 0.744(0.217) | 0.865(0.157) | 330.56 | 4.58(0.82) | 0.889(0.102) | 0.960(0.041) | 335.91 |
| longclust | 4.03(0.17) | 0.973(0.031) | 0.991(0.011) | 14.58 | 3.74(0.44) | 0.960(0.044) | 0.992(0.010) | 14.26 |
| funHDDC | 4.02(2.86) | 0.343(0.235) | 0.755(0.064) | 25.21 | 5.07(2.70) | 0.388(0.206) | 0.692(0.117) | 24.9 |
| curvclust | 9.14(0.82) | 0.635(0.054) | −(−) | 8.74 | 8.67(1.21) | 0.567(0.077) | −(−) | 8.32 |
Note: CSA was only reported when there were at least two cases in 100 repetitions that resulted in .