Research Article
VIASCKDE Index: A Novel Internal Cluster Validity Index for Arbitrary-Shaped Clusters Based on the Kernel Density Estimation
Table 10
Obtained values for each index based on the parameters are given in Table
8.
| Dataset | Obtained values for the each index | SI | DI | DB | CH | S_Dbw | RMSSTD | DSI | VIASCKDE |
| Half-kernel | 0.4748 | 0.0949 | 0.6066 | 1761.6198 | 0.2246 | 0.9163 | 0.2495 | 0.7395 | Two spirals | 0.3175 | 0.1317 | 1.058 | 1378.878 | 0.2857 | 0.7829 | 0.2865 | 0.8151 | Outlier | 0.6178 | 0.4291 | 0.4037 | 1804.463 | 0.1176 | 0.9654 | 0.2924 | 0.6863 | Corners | 0.5672 | 0.2872 | 0.5315 | 4102.5883 | 0.1873 | 0.9439 | 0.207 | 0.6575 | Cluster in cluster | 0.4547 | 0.2341 | 0.9465 | 832.9385 | 0.2764 | 0.857 | 0.2275 | 0.6052 | Crescent full moon | 0.4993 | 0.1923 | 0.5792 | 2022.7022 | 0.2055 | 0.9103 | 0.2423 | 0.6689 | Moon | 0.4543 | 0.1285 | 0.6781 | 602.0907 | 0.2169 | 0.9098 | 0.2689 | 0.7527 | Face | 0.4996 | 0.2361 | 0.5473 | 1055.0573 | 0.1705 | 0.9271 | 0.2481 | 0.7575 | Wave | 0.4957 | 0.1291 | 0.631 | 681.3681 | 0.1639 | 0.9124 | 0.2541 | 0.617 | Fisher iris | 0.6295 | 0.3581 | 0.4877 | 356.289 | 0.2163 | 0.8923 | 0.1432 | 0.4539 | Breast cancer | 0.5839 | 0.1291 | 0.7738 | 993.0158 | 0.1796 | 0.7795 | 0.2031 | 0.4341 | Aggregation | 0.4541 | 0.1091 | 0.589 | 1623.9684 | 0.1434 | 0.921 | 0.2966 | 0.6944 | Thyroid | 0.5517 | 0.0973 | 0.85 | 138.1291 | 0.3809 | 0.685 | 0.1309 | 0.4832 | Zelnik1 | 0.5042 | 0.0992 | 0.663 | 194.586 | 0.2836 | 0.8614 | 0.2171 | 0.6544 | Zelnik5 | 0.5948 | 0.2651 | 0.5353 | 1832.5626 | 0.1548 | 0.9495 | 0.2763 | 0.7686 | Xclara | 0.6946 | 0.023 | 0.4203 | 10843.7203 | 0.2779 | 0.946 | 0.1612 | 0.8164 | Banana | 0.5087 | 0.1258 | 0.5734 | 14012.5597 | 0.1806 | 0.9343 | 0.2146 | 0.82 | Ds2c2sc13 | 0.3939 | 0.0639 | 0.8082 | 1133.5545 | 0.1434 | 0.9064 | 0.2896 | 0.6187 | 2sp2glob | 0.6102 | 0.1456 | 0.6921 | 1548.8465 | 0.2544 | 0.8693 | 0.2396 | 0.725 | Cure-t1-2000n | 0.4994 | 0.1921 | 0.6581 | 3615.5302 | 0.1582 | 0.9016 | 0.2817 | 0.6589 |
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