Research Article
VIASCKDE Index: A Novel Internal Cluster Validity Index for Arbitrary-Shaped Clusters Based on the Kernel Density Estimation
Table 9
The best parameters for the datasets that were detected by the cluster validity indices with the HDBSCAN algorithm.
| Dataset | HDBSCAN Parameter | Best parameters detected by the indices for the HDBSCAN algorithm | SI | DI | DB | CH | S_Dbw | DSI | RMSSTD | VIASCKDE |
| Half-kernel | n_clusters_size | 24 | 24 | 2 | 25 | 25 | 25 | 24 | 24 | | n_samples | 6 | 6 | 10 | 25 | 25 | 25 | 6 | 6 | Two spirals | n_clusters_size | 3 | 25 | 3 | 17 | 2 | 2 | 15 | 6 | | n_samples | 2 | 17 | 2 | 7 | 2 | 2 | 19 | 12 | Outlier | n_clusters_size | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | | n_samples | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | Corners | n_clusters_size | 8 | 8 | 8 | 8 | 2 | 2 | 8 | 8 | | n_samples | 8 | 8 | 8 | 8 | 2 | 2 | 8 | 8 | Cluster in cluster | n_clusters_size | 20 | 20 | 9 | 11 | 7 | 7 | 20 | 20 | | n_samples | 10 | 10 | 2 | 2 | 3 | 3 | 10 | 10 | Crescent full moon | n_clusters_size | 20 | 20 | 3 | 20 | 3 | 3 | 20 | 20 | | n_samples | 12 | 12 | 2 | 12 | 2 | 2 | 12 | 12 | Moon | n_clusters_size | 22 | 6 | 22 | 22 | 10 | 2 | 10 | 6 | | n_samples | 3 | 4 | 3 | 3 | 24 | 25 | 24 | 4 | Face | n_clusters_size | 21 | 13 | 9 | 21 | 9 | 9 | 13 | 9 | | n_samples | 5 | 19 | 8 | 5 | 8 | 8 | 19 | 8 | Wave | n_clusters_size | 16 | 6 | 16 | 16 | 3 | 4 | 6 | 2 | | n_samples | 13 | 3 | 23 | 13 | 13 | 19 | 3 | 5 | Fisher iris | n_clusters_size | 5 | 5 | 14 | 5 | 5 | 18 | 9 | 5 | | n_samples | 12 | 12 | 16 | 12 | 12 | 21 | 25 | 12 | Breast cancer | n_clusters_size | 11 | 5 | 2 | 5 | 2 | 2 | 22 | 5 | | n_samples | 34 | 55 | 3 | 55 | 3 | 3 | 53 | 55 | Aggregation | n_clusters_size | 17 | 12 | 9 | 12 | 23 | 2 | 12 | 2 | | n_samples | 25 | 14 | 16 | 14 | 13 | 4 | 14 | 4 | Thyroid | n_clusters_size | 3 | 2 | 3 | 3 | 3 | 3 | 2 | 8 | | n_samples | 2 | 7 | 2 | 2 | 4 | 2 | 16 | 4 | Zelnik1 | n_clusters_size | 11 | 3 | 5 | 3 | 20 | 2 | 14 | 3 | | n_samples | 16 | 11 | 25 | 15 | 16 | 17 | 19 | 11 | Zelnik5 | n_clusters_size | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | | n_samples | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | Xclara | n_clusters_size | 9 | 22 | 3 | 13 | 3 | 3 | 3 | 13 | | n_samples | 2 | 6 | 3 | 9 | 3 | 3 | 3 | 9 | Banana | n_clusters_size | 21 | 21 | 13 | 21 | 21 | 16 | 21 | 21 | | n_samples | 14 | 14 | 16 | 14 | 14 | 24 | 14 | 14 | Ds2c2sc13 | n_clusters_size | 22 | 22 | 16 | 22 | 4 | 22 | 24 | 16 | | n_samples | 19 | 19 | 20 | 19 | 6 | 19 | 24 | 10 | 2sp2glob | n_clusters_size | 21 | 21 | 21 | 21 | 21 | 21 | 21 | 21 | | n_samples | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | Cure-t1-2000n | n_clusters_size | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 25 | | n_samples | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 4 |
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