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

Table 14

ARI values, which were obtained from the parameters, are given in Table 9 and were proposed by each index.

Dataset	Obtained ARI values for the each index
	SI	DI	DB	CH	S_Dbw	DSI	RMSSTD	VIASCKDE
Half-kernel	1.0000	1.0000	0.9980	0.7901	0.7901	0.7901	1.0000	1.0000
Two spirals	0.0079	1.0000	0.0079	0.7524	0.0076	0.0076	0.9990	1.0000
Outlier	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000
Corners	1.0000	1.0000	1.0000	1.0000	0.8261	0.8261	1.0000	1.0000
Cluster in cluster	1.0000	1.0000	0.5285	0.5360	0.5274	0.5274	1.0000	1.0000
Crescent full moon	1.0000	1.0000	0.1160	1.0000	0.1160	0.1160	1.0000	1.0000
Moon	0.9379	1.0000	0.9379	0.9379	0.2933	0.3697	0.2933	1.0000
Face	0.1883	0.9949	1.0000	0.1883	1.0000	1.0000	0.9949	1.0000
Wave	0.2609	1.0000	0.1709	0.2609	0.2528	0.2140	1.0000	1.0000
Fisher iris	0.5681	0.5681	0.5657	0.5681	0.5681	0.5638	0.5482	0.5682
Breast cancer	0.8349	0.8522	0.0011	0.8522	0.0011	0.0011	-0.0707	0.8522
Aggregation	0.7962	0.7338	0.7323	0.7338	0.8154	0.8089	0.7338	0.8089
Thyroid	0.4885	0.5662	0.4885	0.4885	0.4880	0.4885	-0.0255	0.4873
Zelnik1	0.9313	1.0000	0.3207	0.8880	1.0000	0.9680	0.9771	1.0000
Zelnik5	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000
Xclara	0.9861	0.9904	0.3936	0.9880	0.3936	0.3936	0.3936	0.9904
Banana	1.0000	1.0000	0.8308	1.0000	1.0000	0.8278	1.0000	1.0000
Ds2c2sc13	0.3187	0.3187	0.3180	0.3187	0.7624	0.3187	0.3165	0.4260
2sp2glob	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000
Cure-t1-2000n	0.8850	0.8850	0.8850	0.8850	0.8850	0.8850	0.8850	0.8850