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

Table 4

Obtained results with the different kernels values.

Kernels	Datasets
	Obtained VIASCKDE Values with each kernel						Obtained ARI Values with each kernel
	Face	Aggregation	Outliers	Thyroid	Crescent full moon	Cure-t1-200n	Face	Aggregation	Outliers	Thyroid	Crescent full moon	Cure-t1-200n
Gaussian	0.7063	0.6368	0.6797	0.4947	0.6623	0.6555	0.6085	0.8246	1.0000	0.5083	1.0000	0.8850
Cosine	0.5967	0.6564	0.6499	0.1699	0.6340	0.6343	0.6085	0.8089	1.0000	0.5083	1.0000	0.8850
Exponential	0.7005	0.6371	0.6714	0.5541	0.6426	0.6653	0.0386	0.8089	1.0000	0.5034	1.0000	0.8850
Linear	0.5736	0.6427	0.6306	0.1594	0.6169	0.6371	0.6085	0.8089	1.0000	0.5083	1.0000	0.8850
Epanechnikov	0.6021	0.6562	0.6581	0.1758	0.6388	0.6295	0.6085	0.8089	1.0000	0.5083	1.0000	0.8850
Tophat	0.6457	0.6165	0.6433	0.2306	0.6664	0.6299	0.6085	0.0333	1.0000	0.5083	1.0000	0.8850