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

Table 7

Obtained values for each index based on the parameters given in Table 6.

Dataset	Obtained values for the each index
	SI	DI	DB	CH	S_Dbw	DSI	RMSSTD	VIASCKDE
Half-kernel	0.2010	0.0949	1.8818	127.8905	0.5419	0.5068	0.2495	0.7125
Two spirals	0.0588	0.1317	3.3241	152.9447	0.5848	0.1069	0.28	0.7903
Outlier	0.5608	0.4291	0.4037	1075.5609	0.2099	0.9654	0.1302	0.6797
Corners	0.4614	0.2872	0.7436	2020.1068	0.4976	0.6358	0.1187	0.6295
Cluster in cluster	0.2231	0.2341	208.8458	0.0169	0.8536	0.7332	0.2276	0.595
Crescent full moon	0.2784	0.1923	1.1646	285.1423	0.3255	0.6568	0.2449	0.6623
Moon	0.2371	0.1052	0.9739	244.1722	0.2081	0.8788	0.2525	0.7508
Face	0.4569	0.2217	1.1099	213.0246	0.3725	0.7627	0.2423	0.6631
Wave	0.4525	0.1291	0.7119	366.1095	0.2344	0.8935	0.2696	0.6495
Fisher iris	0.5692	0.1222	0.5234	223.6137	0.3386	0.8296	0.2527	0.443
Breast cancer	0.5698	0.1228	0.8037	900.1988	0.3606	0.9617	0.2993	0.2944
Aggregation	0.4763	0.1432	0.5461	1156.7539	0.2073	0.9442	0.1878	0.6388
Thyroid	0.433	0.0598	2.7626	16.6429	0.5343	0.7486	0.1528	0.3275
Zelnik1	0.2045	0.0992	5.6978	95.196	0.2523	0.8939	0.2171	0.6604
Zelnik5	0.4971	0.2224	0.8098	413.8835	0.3651	0.8338	0.1534	0.7739
Xclara	0.6654	0.0656	1.1863	6889.0154	0.3492	0.7462	0.229	0.8101
Banana	0.3589	0.1258	1.1322	3532.2201	0.7625	0.4334	0.2146	0.8076
Ds2c2sc13	0.5724	0.237	0.5891	1907.2388	0.1921	0.9193	0.1091	0.605
2sp2glob	0.3899	0.1278	2.7559	158.5187	0.6374	0.8003	0.2089	0.8819
Cure-t1-2000n	0.4514	0.1196	0.6775	1365.0774	0.3054	0.787	0.1721	0.6555