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

Table 12

ARI values, which were obtained from the parameters, were given in Table 8 and were proposed by each index.

Dataset	Obtained ARI values for the each index
	SI	DI	DB	CH	S_Dbw	RMSSTD	DSI	VIASCKDE
Half-kernel	0.1514	1.0000	0.1422	0.1421	0.1515	0.1421	1.0000	1.0000
Two spirals	0.1401	1.0000	0.1435	0.1401	0.1401	0.1401	0.2047	1.0000
Outlier	0.8463	1.0000	1.0000	0.2236	0.2322	1.0000	0.2271	1.0000
Corners	0.4581	1.0000	0.4581	0.4581	0.3917	0.4199	0.3330	0.3330
Cluster in cluster	0.6584	1.0000	0.6584	0.1365	0.1368	0.1365	1.0000	1.0000
Crescent full moon	0.2934	1.0000	0.2934	0.1021	0.0869	0.0955	1.0000	0.2341
Moon	0.3629	0.2973	0.3629	0.3629	0.3092	0.3092	0.4916	0.4916
Face	0.0646	0.3662	0.0747	0.0580	0.0443	0.0538	0.3662	0.3662
Wave	0.2970	1.0000	0.1333	0.1323	0.1323	0.1356	1.0000	1.0000
Fisher iris	0.5681	0.5681	0.5681	0.7445	0.2395	0.5681	0.5681	0.7445
Breast cancer	0.8933	0.8933	0.8933	0.8933	0.2875	0.1779	0.0669	0.2534
Aggregation	0.7975	0.0646	0.9066	0.4453	0.0486	0.4156	0.1149	0.0646
Thyroid	0.6307	0.4204	0.6307	0.6307	0.0830	0.0830	0.4204	0.6307
Zelnik1	0.3170	0.4352	0.3004	0.3170	0.2225	0.3007	1.0000	1.0000
Zelnik5	0.6567	0.3096	0.6567	0.3638	0.3790	0.3638	0.5003	1.0000
Xclara	0.9939	0.6270	0.9939	0.9939	0.3602	0.9939	0.6270	0.9939
Banana	0.2394	1.0000	0.2394	0.1369	0.1463	0.1369	1.0000	1.0000
Ds2c2sc13	0.3267	0.3267	0.2766	0.4531	0.0244	0.5344	0.0244	0.2394
2sp2glob	0.7852	0.5709	0.3226	0.3195	0.3185	0.3226	0.5709	0.7852
Cure-t1-2000n	0.6334	0.3423	0.7818	0.3303	0.1757	0.3546	0.1757	0.8427