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