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

Table 10

Obtained values for each index based on the parameters are given in Table 8.

Dataset	Obtained values for the each index
	SI	DI	DB	CH	S_Dbw	RMSSTD	DSI	VIASCKDE
Half-kernel	0.4748	0.0949	0.6066	1761.6198	0.2246	0.9163	0.2495	0.7395
Two spirals	0.3175	0.1317	1.058	1378.878	0.2857	0.7829	0.2865	0.8151
Outlier	0.6178	0.4291	0.4037	1804.463	0.1176	0.9654	0.2924	0.6863
Corners	0.5672	0.2872	0.5315	4102.5883	0.1873	0.9439	0.207	0.6575
Cluster in cluster	0.4547	0.2341	0.9465	832.9385	0.2764	0.857	0.2275	0.6052
Crescent full moon	0.4993	0.1923	0.5792	2022.7022	0.2055	0.9103	0.2423	0.6689
Moon	0.4543	0.1285	0.6781	602.0907	0.2169	0.9098	0.2689	0.7527
Face	0.4996	0.2361	0.5473	1055.0573	0.1705	0.9271	0.2481	0.7575
Wave	0.4957	0.1291	0.631	681.3681	0.1639	0.9124	0.2541	0.617
Fisher iris	0.6295	0.3581	0.4877	356.289	0.2163	0.8923	0.1432	0.4539
Breast cancer	0.5839	0.1291	0.7738	993.0158	0.1796	0.7795	0.2031	0.4341
Aggregation	0.4541	0.1091	0.589	1623.9684	0.1434	0.921	0.2966	0.6944
Thyroid	0.5517	0.0973	0.85	138.1291	0.3809	0.685	0.1309	0.4832
Zelnik1	0.5042	0.0992	0.663	194.586	0.2836	0.8614	0.2171	0.6544
Zelnik5	0.5948	0.2651	0.5353	1832.5626	0.1548	0.9495	0.2763	0.7686
Xclara	0.6946	0.023	0.4203	10843.7203	0.2779	0.946	0.1612	0.8164
Banana	0.5087	0.1258	0.5734	14012.5597	0.1806	0.9343	0.2146	0.82
Ds2c2sc13	0.3939	0.0639	0.8082	1133.5545	0.1434	0.9064	0.2896	0.6187
2sp2glob	0.6102	0.1456	0.6921	1548.8465	0.2544	0.8693	0.2396	0.725
Cure-t1-2000n	0.4994	0.1921	0.6581	3615.5302	0.1582	0.9016	0.2817	0.6589