Research Article
VIASCKDE Index: A Novel Internal Cluster Validity Index for Arbitrary-Shaped Clusters Based on the Kernel Density Estimation
Table 14
ARI values, which were obtained from the parameters, are given in Table
9 and were proposed by each index.
| Dataset | Obtained ARI values for the each index | SI | DI | DB | CH | S_Dbw | DSI | RMSSTD | VIASCKDE |
| Half-kernel | 1.0000 | 1.0000 | 0.9980 | 0.7901 | 0.7901 | 0.7901 | 1.0000 | 1.0000 | Two spirals | 0.0079 | 1.0000 | 0.0079 | 0.7524 | 0.0076 | 0.0076 | 0.9990 | 1.0000 | Outlier | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | Corners | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 0.8261 | 0.8261 | 1.0000 | 1.0000 | Cluster in cluster | 1.0000 | 1.0000 | 0.5285 | 0.5360 | 0.5274 | 0.5274 | 1.0000 | 1.0000 | Crescent full moon | 1.0000 | 1.0000 | 0.1160 | 1.0000 | 0.1160 | 0.1160 | 1.0000 | 1.0000 | Moon | 0.9379 | 1.0000 | 0.9379 | 0.9379 | 0.2933 | 0.3697 | 0.2933 | 1.0000 | Face | 0.1883 | 0.9949 | 1.0000 | 0.1883 | 1.0000 | 1.0000 | 0.9949 | 1.0000 | Wave | 0.2609 | 1.0000 | 0.1709 | 0.2609 | 0.2528 | 0.2140 | 1.0000 | 1.0000 | Fisher iris | 0.5681 | 0.5681 | 0.5657 | 0.5681 | 0.5681 | 0.5638 | 0.5482 | 0.5682 | Breast cancer | 0.8349 | 0.8522 | 0.0011 | 0.8522 | 0.0011 | 0.0011 | -0.0707 | 0.8522 | Aggregation | 0.7962 | 0.7338 | 0.7323 | 0.7338 | 0.8154 | 0.8089 | 0.7338 | 0.8089 | Thyroid | 0.4885 | 0.5662 | 0.4885 | 0.4885 | 0.4880 | 0.4885 | -0.0255 | 0.4873 | Zelnik1 | 0.9313 | 1.0000 | 0.3207 | 0.8880 | 1.0000 | 0.9680 | 0.9771 | 1.0000 | Zelnik5 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | Xclara | 0.9861 | 0.9904 | 0.3936 | 0.9880 | 0.3936 | 0.3936 | 0.3936 | 0.9904 | Banana | 1.0000 | 1.0000 | 0.8308 | 1.0000 | 1.0000 | 0.8278 | 1.0000 | 1.0000 | Ds2c2sc13 | 0.3187 | 0.3187 | 0.3180 | 0.3187 | 0.7624 | 0.3187 | 0.3165 | 0.4260 | 2sp2glob | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | Cure-t1-2000n | 0.8850 | 0.8850 | 0.8850 | 0.8850 | 0.8850 | 0.8850 | 0.8850 | 0.8850 |
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