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

Table 13

Obtained values for each index based on the parameters given in Table 9.

Dataset	Obtained values for the each index
	SI	DI	DB	CH	S_Dbw	DSI	RMSSTD	VIASCKDE
Half-kernel	0.201	0.0949	1.8878	171.8984	0.5589	0.4662	0.2495	0.7125
Two spirals	0.4071	0.1317	1.1858	259.0349	0.0136	0.9957	0.28	0.8151
Outlier	0.5608	0.4291	0.4037	1075.5609	0.2099	0.9654	0.1235	0.6881
Corners	0.4614	0.2872	0.7436	2020.1068	0.0437	0.9791	0.1187	0.6268
Cluster in cluster	0.2231	0.2341	4.4083	2.5624	0.0642	0.947	0.2275	0.6052
Crescent full moon	0.2784	0.1923	1.0934	285.1423	0.0527	0.9829	0.2423	0.6623
Moon	0.2371	0.0794	1.1729	244.1722	0.3243	0.7021	0.2628	0.7002
Face	0.417	0.2217	0.9539	204.5665	0.4031	0.8557	0.2339	0.6654
Wave	0.3746	0.1291	1.1785	168.9936	0.3155	0.7862	0.2541	0.617
Fisher iris	0.6295	0.3581	0.4659	353.3674	0.4488	0.9296	0.1478	0.4722
Breast cancer	0.4306	0.1125	1.1919	493.4632	0.1958	0.9575	0.2983	0.0143
Aggregation	0.4925	0.1432	0.6452	778.9448	0.2701	0.8481	0.1497	0.6108
Thyroid	0.4359	0.0683	1.68	38.4235	0.6519	0.7913	0.1532	0.3833
Zelnik1	0.0008	0.0992	13.2535	12.7433	0.3022	0.7287	0.2171	0.541
Zelnik5	0.4663	0.2224	1.0459	413.8835	0.4593	0.7425	0.1493	0.7739
Xclara	0.6745	0.0295	1.213	7008.8746	0.0475	0.9918	0.1114	0.7814
Banana	0.3589	0.1258	1.0288	3532.2201	0.7625	0.7003	0.2146	0.82
Ds2c2sc13	0.5724	0.237	0.5829	1785.9002	0.1831	0.8928	0.1093	0.6045
2sp2glob	0.3899	0.1278	2.7973	158.408	0.6374	0.8003	0.2088	0.7146
Cure-t1-2000n	0.4514	0.1196	0.6775	1365.0774	0.3054	0.787	0.1721	0.655