Research Article
VIASCKDE Index: A Novel Internal Cluster Validity Index for Arbitrary-Shaped Clusters Based on the Kernel Density Estimation
Table 11
ARI values were obtained from the parameters that are given in Table
6 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 | 0.9940 | 1.0000 | 0.9153 | 0.9940 | 1.0000 | 1.0000 | Two spirals | 1.0000 | 1.0000 | 0.9804 | 1.0000 | 0.9804 | 1.0000 | 0.9990 | 1.0000 | Outlier | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 0.9973 | 1.0000 | 0.8621 | 1.0000 | Corners | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | Cluster in cluster | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 0.8879 | 1.0000 | Crescent full moon | 1.0000 | 1.0000 | 0.9968 | 1.0000 | 0.9105 | 0.9873 | 0.8509 | 1.0000 | Moon | 0.9379 | 0.6322 | 0.9256 | 0.9379 | 0.7874 | 0.7874 | 0.7949 | 0.7949 | Face | 0.2645 | 0.9949 | 0.9961 | 0.2892 | 0.1304 | 0.1226 | 0.8521 | 0.9961 | Wave | 0.3514 | 1.0000 | 0.1441 | 0.3514 | 0.1913 | 0.1441 | 0.0508 | 0.0536 | Fisher iris | 0.4518 | 0.5503 | 0.4518 | 0.4518 | 0.2369 | 0.4518 | 0.0106 | 0.5503 | Breast cancer | 0.8240 | 0.8189 | 0.8240 | 0.8240 | −0.0779 | −0.0779 | −0.0780 | 0.8283 | Aggregation | 0.9898 | 0.7338 | 0.9898 | 0.9898 | 0.8770 | 0.9866 | 0.6330 | 0.9898 | Thyroid | 0.6715 | 0.6715 | −0.0664 | 0.7339 | 0.2940 | −0.1332 | −0.1396 | 0.6715 | Zelnik1 | 0.7708 | 1.0000 | 0.3409 | 0.7852 | 0.7724 | 0.7724 | 1.0000 | 0.7781 | Zelnik5 | 0.9214 | 1.0000 | 0.9278 | 1.0000 | 0.9216 | 0.9126 | 0.9839 | 1.0000 | Xclara | 0.9813 | 0.0001 | 0.0001 | 0.9813 | 0.9813 | 0.9813 | 0.0001 | 0.9813 | Banana | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | Ds2c2sc13 | 0.3187 | 0.3187 | 0.4911 | 0.4911 | 0.5325 | 0.4911 | 0.3187 | 0.5904 | 2sp2glob | 1.0000 | 1.0000 | 0.9850 | 0.9940 | 0.9985 | 1.0000 | 0.9970 | 0.9940 | Cure-t1-2000n | 0.8850 | 0.8850 | 0.8850 | 0.8850 | 0.8850 | 0.8850 | 0.8850 | 0.8850 |
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