Research Article
Robust Proximal Support Vector Regression Based on Maximum Correntropy Criterion
Table 4
Experimental results on MCPU, Bodyfat, AutoMPG, and BH without outliers (I) and with outliers (II).
| | Dataset | Algorithm | () | RMSE | MAE | SSE/SST | SSR/SST |
| | MCPU (209 × 6) (150, 59) | I | LSSVR | () | 53.3871(6) | 27.3354(6) | 0.1547 (6) | 0.9474(4) | | PSVR | () | 53.2070(5) | 27.1529(4) | 0.1530(5) | 0.9419(6) | | WLSSVR-H | () | 52.1390(3) | 27.1578(5) | 0.1410(3) | 0.9922(1) | | WLSSVR-L | () | 52.2495(4) | 27.0081(3) | 0.1427(4) | 0.9249(5) | | RLSSVR-MCC | () | 51.8570(2) | 26.8429(1) | 0.1402(2) | 0.9492(3) | | RPSVR-MCC | () | 51.5925(1) | 27.0013(2) | 0.1388(1) | 0.9505(2) | | II | LSSVR | () | 53.6345(6) | 27.5341(5) | 0.1567(6) | 0.9485(2) | | PSVR | () | 53.4728(5) | 27.3651(4) | 0.1551(5) | 0.9431(5) | | WLSSVR-H | () | 52.8168(4) | 27.5543(6) | 0.1489(4) | 1.0060(1) | | WLSSVR-L | () | 52.1319(3) | 27.0399(3) | 0.1436(3) | 0.9335(6) | | RLSSVR-MCC | () | 50.8516(2) | 26.5944(2) | 0.1366(2) | 0.9476(3) | | RPSVR-MCC | () | 50.6647(1) | 26.5101(1) | 0.1355(1) | 0.9461(4) |
| | Bodyfat (252 × 14) (200, 52) | I | LSSVR | () | 0.0025(5.5) | 0.0011(5.5) | 0.0262(6) | 0.9326(6) | | PSVR | () | 0.0025(5.5) | 0.0011(5.5) | 0.0260(5) | 0.9362(5) | | WLSSVR-H | () | 0.0022(3.5) | 7.1305E-4(3) | 0.0233(3) | 0.9477(3) | | WLSSVR-L | () | 0.0022(3.5) | 7.9633E-4(4) | 0.0238(4) | 0.9416(4) | | RLSSVR-MCC | () | 0.0020(1.5) | 4.5370E-4(2) | 0.0224(1.5) | 0.9781(1) | | RPSVR-MCC | () | 0.0020(1.5) | 4.4860E-4(1) | 0.0224(1.5) | 0.9765(2) | | II | LS-SVR | () | 0.0075(5) | 0.0056(6) | 0.1868(5) | 0.7799(6) | | PSVR | () | 0.0076(6) | 0.0055(5) | 0.1970(6) | 0.9459(3) | | WLSSVR-H | () | 0.0031(3) | 0.0017(3) | 0.0372(3) | 0.9148(4) | | WLSSVR-L | () | 0.0037(4) | 0.0023(4) | 0.0476(4) | 0.8947(5) | | RLSSVR-MCC | () | 0.0021(1.5) | 6.7207E-4(2) | 0.0225(2) | 0.9652(2) | | RPSVR-MCC | () | 0.0021(1.5) | 6.6674E-4(1) | 0.0224(1) | 0.9670(1) |
| | AutoMPG (392 × 7) (300, 92) | I | LSSVR | () | 2.6050(6) | 1.8858(5) | 0.1057(6) | 0.8713(1) | | PSVR | () | 2.6017(5) | 1.8870(6) | 0.1054(5) | 0.8596(2) | | WLSSVR-H | () | 2.5764(1) | 1.8421(1) | 0.1031(1) | 0.8519(5) | | WLSSVR-L | () | 2.5867(4) | 1.8642(3) | 0.1040(4) | 0.8583(3) | | RLSSVR-MCC | () | 2.5833(3) | 1.8676(4) | 0.1037(3) | 0.8515(6) | | RPSVR-MCC | () | 2.5812(2) | 1.8637(2) | 0.1035(2) | 0.8520(4) | | II | LSSVR | () | 2.8980(6) | 2.1601(6) | 0.1308(6) | 0.8421(5) | | PSVR | () | 2.8951(5) | 2.1552(5) | 0.1305(5) | 0.8422(4) | | WLSSVR-H | () | 2.6334(3) | 1.9324(3) | 0.1080(3) | 0.8459(3) | | WLSSVR-L | () | 2.7141(4) | 1.9911(4) | 0.1148(4) | 0.8480(2) | | RLSSVR-MCC | () | 2.6194(2) | 1.9087(2) | 0.1065(2) | 0.8376(6) | | RPSVR-MCC | () | 2.6087(1) | 1.8989(1) | 0.1058(1) | 0.8552(1) |
| | BH (506 × 13) (300, 206) | I | LSSVR | () | 3.2018(4) | 2.2747(6) | 0.1276(4) | 0.8997(1) | | PSVR | () | 3.1967(2) | 2.2734(5) | 0.1271(2) | 0.8994(2) | | WLSSVR-H | () | 3.3161(6) | 2.2609(2) | 0.1375(6) | 0.8816(6) | | WLSSVR-L | () | 3.2319(5) | 2.2476(1) | 0.1302(5) | 0.8925(5) | | RLSSVR-MCC | () | 3.1993(3) | 2.2693(4) | 0.1274(3) | 0.8985(3) | | RPSVR-MCC | () | 3.1941(1) | 2.2678(3) | 0.1270(1) | 0.8982(4) | | II | LSSVR | () | 4.3860(5) | 3.2163(5) | 0.2402(5) | 0.8563(4) | | PSVR | () | 4.4092(6) | 3.2482(6) | 0.2433(6) | 0.9097(1) | | WLSSVR-H | () | 3.6464(3) | 2.6132(3) | 0.1661(3) | 0.8808(2) | | WLSSVR-L | () | 3.7909(4) | 2.6898(4) | 0.1800(4) | 0.8676(3) | | RLSSVR-MCC | () | 3.4941(2) | 2.2972(1) | 0.1530(2) | 0.8535(5) | | RPSVR-MCC | () | 3.4667(1) | 2.3061(2) | 0.1509(1) | 0.8487(6) |
|
|
