Research Article
VIASCKDE Index: A Novel Internal Cluster Validity Index for Arbitrary-Shaped Clusters Based on the Kernel Density Estimation
Table 13
Obtained values for each index based on the parameters given in Table
9.
| Dataset | Obtained values for the each index | SI | DI | DB | CH | S_Dbw | DSI | RMSSTD | VIASCKDE |
| Half-kernel | 0.201 | 0.0949 | 1.8878 | 171.8984 | 0.5589 | 0.4662 | 0.2495 | 0.7125 | Two spirals | 0.4071 | 0.1317 | 1.1858 | 259.0349 | 0.0136 | 0.9957 | 0.28 | 0.8151 | Outlier | 0.5608 | 0.4291 | 0.4037 | 1075.5609 | 0.2099 | 0.9654 | 0.1235 | 0.6881 | Corners | 0.4614 | 0.2872 | 0.7436 | 2020.1068 | 0.0437 | 0.9791 | 0.1187 | 0.6268 | Cluster in cluster | 0.2231 | 0.2341 | 4.4083 | 2.5624 | 0.0642 | 0.947 | 0.2275 | 0.6052 | Crescent full moon | 0.2784 | 0.1923 | 1.0934 | 285.1423 | 0.0527 | 0.9829 | 0.2423 | 0.6623 | Moon | 0.2371 | 0.0794 | 1.1729 | 244.1722 | 0.3243 | 0.7021 | 0.2628 | 0.7002 | Face | 0.417 | 0.2217 | 0.9539 | 204.5665 | 0.4031 | 0.8557 | 0.2339 | 0.6654 | Wave | 0.3746 | 0.1291 | 1.1785 | 168.9936 | 0.3155 | 0.7862 | 0.2541 | 0.617 | Fisher iris | 0.6295 | 0.3581 | 0.4659 | 353.3674 | 0.4488 | 0.9296 | 0.1478 | 0.4722 | Breast cancer | 0.4306 | 0.1125 | 1.1919 | 493.4632 | 0.1958 | 0.9575 | 0.2983 | 0.0143 | Aggregation | 0.4925 | 0.1432 | 0.6452 | 778.9448 | 0.2701 | 0.8481 | 0.1497 | 0.6108 | Thyroid | 0.4359 | 0.0683 | 1.68 | 38.4235 | 0.6519 | 0.7913 | 0.1532 | 0.3833 | Zelnik1 | 0.0008 | 0.0992 | 13.2535 | 12.7433 | 0.3022 | 0.7287 | 0.2171 | 0.541 | Zelnik5 | 0.4663 | 0.2224 | 1.0459 | 413.8835 | 0.4593 | 0.7425 | 0.1493 | 0.7739 | Xclara | 0.6745 | 0.0295 | 1.213 | 7008.8746 | 0.0475 | 0.9918 | 0.1114 | 0.7814 | Banana | 0.3589 | 0.1258 | 1.0288 | 3532.2201 | 0.7625 | 0.7003 | 0.2146 | 0.82 | Ds2c2sc13 | 0.5724 | 0.237 | 0.5829 | 1785.9002 | 0.1831 | 0.8928 | 0.1093 | 0.6045 | 2sp2glob | 0.3899 | 0.1278 | 2.7973 | 158.408 | 0.6374 | 0.8003 | 0.2088 | 0.7146 | Cure-t1-2000n | 0.4514 | 0.1196 | 0.6775 | 1365.0774 | 0.3054 | 0.787 | 0.1721 | 0.655 |
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