VIASCKDE Index: A Novel Internal Cluster Validity Index for Arbitrary-Shaped Clusters Based on the Kernel Density Estimation

Table 5

Obtained results with the different bandwidth values.

Bandwidth	Datasets
	Obtained VIASCKDE values with each bandwidth						Obtained ARI values with each bandwidth
	Face	Aggregation	Outliers	Thyroid	Crescent full moon	Cure-t1-200n	Face	Aggregation	Outliers	Thyroid	Crescent full moon	Cure-t1-200n
0.01	0.3377	0.3444	0.4650	0.0556	0.4780	0.5264	−0.0386	0.8089	1.0000	0.5277	1.0000	0.8850
0.03	0.6627	0.6565	0.6508	0.3493	0.6608	0.6421	0.6085	0.8089	1.0000	0.5034	1.0000	0.8850
0.05	0.7063	0.6388	0.6797	0.4947	0.6623	0.6555	0.6085	0.9898	1.0000	0.5034	1.0000	0.8850
0.1	0.7365	0.6225	0.6851	0.6306	0.6486	0.6565	−0.0386	0.8089	1.0000	0.5034	1.0000	0.8850
0.3	0.7857	0.5947	0.6773	0.7402	0.6143	0.6189	−0.0386	0.7338	1.0000	0.2099	1.0000	0.8850
0.5	0.7586	0.5689	0.5481	0.7591	0.5945	0.6039	−0.0386	0.7338	1.0000	0.2099	1.0000	0.8850
1.0	0.7412	0.5636	0.5257	0.7618	0.5927	0.6018	−0.0386	0.7338	1.0000	0.2099	1.0000	0.8850
1.5	0.7362	0.5629	0.5236	0.7618	0.5923	0.6016	−0.0386	0.7338	1.0000	0.2099	1.0000	0.8850
2	0.7339	0.5626	0.5229	0.7618	0.5921	0.6015	−0.0386	0.7338	1.0000	0.2099	1.0000	0.8850
2.5	0.7328	0.5625	0.5226	0.7618	0.5920	0.6015	−0.0386	0.7338	1.0000	0.2099	1.0000	0.8850
3	0.7322	0.5624	0.5225	0.7618	0.5920	0.6015	−0.0386	0.7338	1.0000	0.2099	1.0000	0.8850
3.5	0.7317	0.5624	0.5223	0.7618	0.5919	0.6015	−0.0386	0.7338	1.0000	0.2099	1.0000	0.8850
4	0.7314	0.5623	0.5222	0.7617	0.5919	0.6015	−0.0386	0.7338	1.0000	0.2099	1.0000	0.8850
4.5	0.3377	0.3444	0.4650	0.0556	0.4780	0.5264	−0.0386	0.8089	1.0000	0.5277	1.0000	0.8850
5	0.6627	0.6565	0.6508	0.3493	0.6608	0.6421	0.6085	0.8089	1.0000	0.5034	1.0000	0.8850