Research Article
VIASCKDE Index: A Novel Internal Cluster Validity Index for Arbitrary-Shaped Clusters Based on the Kernel Density Estimation
Table 6
The best parameters for datasets that were detected by the cluster validity indices with the DBSCAN algorithm.
| Dataset | DBSCAN parameters | Best parameters detected by indices for the DBSCAN algorithm | SI | DI | DB | CH | S_Dbw | DSI | RMSSTD | VIASCKDE |
| Half-kernel | ε | 0.08 | 0.08 | 0.05 | 0.08 | 0.05 | 0.05 | 0.08 | 0.08 | | MinPts | 7 | 7 | 11 | 7 | 15 | 11 | 7 | 7 | Two spirals | ε | 0.1 | 0.1 | 0.05 | 0.1 | 0.05 | 0.1 | 0.05 | 0.1 | | MinPts | 11 | 11 | 15 | 11 | 15 | 11 | 14 | 11 | Outlier | ε | 0.07 | 0.07 | 0.07 | 0.07 | 0.05 | 0.07 | 0.05 | 0.07 | | MinPts | 15 | 15 | 15 | 15 | 8 | 15 | 14 | 15 | Corners | ε | 0.1 | 0.1 | 0.1 | 0.1 | 0.1 | 0.1 | 0.1 | 0.1 | | MinPts | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | Cluster in cluster | ε | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | 0.06 | | MinPts | 12 | 12 | 12 | 12 | 12 | 12 | 14 | 12 | Crescent full moon | ε | 0.07 | 0.07 | 0.07 | 0.07 | 0.05 | 0.06 | 0.05 | 0.07 | | MinPts | 14 | 14 | 14 | 14 | 15 | 12 | 15 | 14 | Moon | ε | 0.06 | 0.08 | 0.06 | 0.06 | 0.05 | 0.05 | 0.06 | 0.06 | | MinPts | 7 | 11 | 9 | 7 | 9 | 9 | 15 | 15 | Face | ε | 0.06 | 0.1 | 0.1 | 0.06 | 0.06 | 0.05 | 0.06 | 0.1 | | MinPts | 15 | 8 | 5 | 6 | 15 | 12 | 11 | 8 | Wave | ε | 0.09 | 0.09 | 0.06 | 0.09 | 0.05 | 0.06 | 0.05 | 0.06 | | MinPts | 12 | 5 | 12 | 12 | 9 | 12 | 15 | 12 | Fisher iris | ε | 0.14 | 0.19 | 0.14 | 0.14 | 0.08 | 0.14 | 0.06 | 0.19 | | MinPts | 15 | 6 | 15 | 15 | 5 | 15 | 7 | 6 | Breast cancer | ε | 0.39 | 0.33 | 0.39 | 0.39 | 0.06 | 0.06 | 0.05 | 0.4 | | MinPts | 8 | 5 | 8 | 8 | 5 | 5 | 14 | 5 | Aggregation | ε | 0.06 | 0.09 | 0.06 | 0.06 | 0.06 | 0.06 | 0.05 | 0.06 | | MinPts | 13 | 7 | 13 | 13 | 14 | 12 | 14 | 13 | Thyroid | ε | 0.1 | 0.1 | 0.06 | 0.09 | 0.07 | 0.05 | 0.05 | 0.1 | | MinPts | 5 | 5 | 12 | 5 | 6 | 8 | 9 | 5 | Zelnik1 | ε | 0.08 | 0.08 | 0.05 | 0.1 | 0.07 | 0.07 | 0.08 | 0.07 | | MinPts | 6 | 15 | 14 | 7 | 5 | 5 | 15 | 5 | Zelnik5 | ε | 0.06 | 0.1 | 0.05 | 0.1 | 0.06 | 0.05 | 0.05 | 0.1 | | MinPts | 14 | 13 | 12 | 13 | 15 | 12 | 14 | 13 | Xclara | ε | 0.05 | 0.08 | 0.09 | 0.05 | 0.05 | 0.05 | 0.08 | 0.05 | | MinPts | 13 | 12 | 15 | 13 | 13 | 13 | 12 | 13 | Banana | ε | 0.05 | 0.05 | 0.05 | 0.05 | 0.05 | 0.05 | 0.05 | 0.05 | | MinPts | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | Ds2c2sc13 | ε | 0.09 | 0.09 | 0.06 | 0.06 | 0.05 | 0.06 | 0.09 | 0.05 | | MinPts | 10 | 10 | 14 | 14 | 13 | 14 | 10 | 8 | 2sp2glob | ε | 0.1 | 0.1 | 0.05 | 0.07 | 0.08 | 0.1 | 0.06 | 0.07 | | MinPts | 9 | 9 | 12 | 14 | 6 | 9 | 5 | 14 | Cure-t1-2000n | ε | 0.1 | 0.1 | 0.1 | 0.1 | 0.1 | 0.1 | 0.1 | 0.1 | | MinPts | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
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