Robust Proximal Support Vector Regression Based on Maximum Correntropy Criterion

Table 3

Experimental results on Pyrim, Pollution, Servo, and Triazines without outliers (I) and with outliers (II).

Dataset		Algorithm	()	RMSE	MAE	SSE/SST	SSR/SST
Pyrim (74 × 27) (50, 24)	I	LSSVR	()	0.1028(4)	0.0606(3)	0.5618(4)	0.6067(1)
		PSVR	()	0.1036(6)	0.0608(4.5)	0.5715(6)	0.5628(3)
		WLSSVR-H	()	0.1013(3)	0.0610(6)	0.5502(3)	0.4216(6)
		WLSSVR-L	()	0.1032(5)	0.0608(4.5)	0.5658(5)	0.5747(2)
		RLSSVR-MCC	()	0.1002(1.5)	0.0593(1)	0.5440(2)	0.4788(4)
		RPSVR-MCC	()	0.1002(1.5)	0.0594(2)	0.5432(1)	0.4774(5)
	II	LSSVR	()	0.1056(4.5)	0.0649(3)	0.5925(3)	0.5729(3)
		PSVR	()	0.1063(6)	0.0653(5.5)	0.6022(6)	0.5819(2)
		WLSSVR-H	()	0.1026(1)	0.0627(1)	0.5590(1)	0.4788(6)
		WLSSVR-L	()	0.1056(4.5)	0.0651(4)	0.5947(4)	0.5918(1)
		RLSSVR-MCC	()	0.1052(3)	0.0653(5.5)	0.5972(5)	0.4939(5)
		RPSVR-MCC	()	0.1044(2)	0.0646(2)	0.5837(2)	0.4941(4)
Pollution (60 × 16) (40, 20)	I	LSSVR	()	34.0594(5)	26.8079(5)	0.3921(5)	0.8644(2)
		PSVR	()	33.6752(2)	26.4472(2)	0.3821(2)	0.8713(1)
		WLSSVR-H	()	35.1268(6)	27.1519(6)	0.4097(6)	0.7284(6)
		WLSSVR-L	()	33.9942(3)	26.7418(3)	0.3895(4)	0.8631(3)
		RLSSVR-MCC	()	33.9966(4)	26.7578(4)	0.3894(3)	0.8373(5)
		RPSVR-MCC	()	33.5695(1)	26.4044(1)	0.3784(1)	0.8434(4)
	II	LSSVR	()	39.8592(6)	31.0642(5)	0.5358(6)	0.8910(2)
		PSVR	()	39.8591(5)	31.0858(6)	0.5326(5)	0.9008(1)
		WLSSVR-H	()	38.4257(4)	29.6791(4)	0.4890(4)	0.8240(3)
		WLSSVR-L	()	37.8460(3)	29.4832(3)	0.4749(3)	0.8182(4)
		RLSSVR-MCC	()	37.3457(1)	28.6822(1)	0.4613(2)	0.7896(5)
		RPSVR-MCC	()	37.4479(2)	28.9103(2)	0.4592(1)	0.7791(6)
Servo (167 × 4) (100, 67)	I	LSSVR	()	0.7055(6)	0.4017(6)	0.2121(6)	0.8589(2)
		PSVR	()	0.7043(5)	0.4002(5)	0.2117(5)	0.8596(1)
		WLSSVR-H	()	0.6748(1)	0.3530(3)	0.1964(1)	0.7610(4)
		WLSSVR-L	()	0.6809(4)	0.3813(4)	0.1989(4)	0.7685(3)
		RLSSVR-MCC	()	0.6795(3)	0.3416(1.5)	0.1984(2)	0.7176(6)
		RPSVR-MCC	()	0.6794(2)	0.3416(1.5)	0.1985(3)	0.7181(5)
	II	LSSVR	()	0.7054(6)	0.4194(6)	0.2126(6)	0.8353(2)
		PSVR	()	0.7049(5)	0.4090(5)	0.2121(5)	0.8695(1)
		WLSSVR-H	()	0.6709(1)	0.3588(1)	0.1941(1)	0.7946(3)
		WLSSVR-L	()	0.6813(4)	0.3888(4)	0.1995(2)	0.7879(4)
		RLSSVR-MCC	()	0.6800(2)	0.3605(2)	0.2007(3)	0.7677(6)
		RPSVR-MCC	()	0.6802(3)	0.3606(3)	0.2011(4)	0.7683(5)
Triazines (186 × 60) (150, 36)	I	LSSVR	()	0.1443(6)	0.1063(6)	0.8759(6)	0.3521(2)
		PSVR	()	0.1428(5)	0.1060(5)	0.8536(5)	0.2769(6)
		WLSSVR-H	()	0.1422(3.5)	0.1014(1)	0.8449(3)	0.3638(1)
		WLSSVR-L	()	0.1422(3.5)	0.1033(4)	0.8469(4)	0.3337(3)
		RLSSVR-MCC	()	0.1419(2)	0.1024(3)	0.8360(2)	0.2907(4)
		RPSVR-MCC	()	0.1404(1)	0.1018(2)	0.8205(1)	0.2888(5)
	II	LSSVR	()	0.1481(6)	0.1126(6)	0.9295(6)	0.3356(1)
		PSVR	()	0.1466(4)	0.1122(5)	0.9129(5)	0.3334(2)
		WLSSVR-H	()	0.1474(5)	0.1097(4)	0.9080(4)	0.2471(6)
		WLSSVR-L	()	0.1464(3)	0.1096(3)	0.9033(3)	0.3082(3)
		RLSSVR-MCC	()	0.1459(2)	0.1093(2)	0.8896(2)	0.2584(4)
		RPSVR-MCC	()	0.1442(1)	0.1088(1)	0.8722(1)	0.2563(5)