第4期 王一宾，等：弹性网络核极限学习机的多标记学习算法 ·839· 表7雅虎网页数据集排序损失测试结果 Table 7 Test results of ranking lossl on Yahoo Web Pages data set 数据集 ML-EKELM ML-KELM RELM ELM ML-RBF ML-KNN Arts 0.1268±0m 0.1358±03 0.14340.001140.15360.001160.1498±0.00120.1279H02 Business 0.0412±02 0.041503) 0.0422±0.000640.04720.000560.04630.000650.035940a Computers 0.0802±0 0.0967±04 0.09490.00083)0.1028±0.001350.1058±0.002060.0812±02 Education 0.0884±02 0.0910±03) 0.09360.000640.11820.000960.1127±0.001650.0770±0a Entertainment 0.10030 0.1007±02 0.11390.000840.1244牡0.001250.1178±0.001960.1081±0a Health 0.0458±0 0.0517±03) 0.05630.000840.06560.000960.05870.000750.047302 Recreation 0.138204 0.1460±03 0.14360.000720.1634牡0.001660.1549H0.001740.1550±05 Reference 0.0808±02 0.0822±0a 0.0889H0.001140.09820.001160.0929牡0.001050.0689H0u Science 0.1146±02 0.1208±03) 0.1300±0.000740.14260.001460.1362±0.001350.1107±0a Social 0.0648±02 0.0656±03) 0.07090.000740.07960.001060.0770±0.001350.0537±0a Society 0.133402 0.1410-0a 0.1481±0.000640.15850.001460.1491±0.001150.13030 Average 0.0922±0.033720.0975t0.03588)0.10230.03660.1140±0.039160.1092±0.037460.09050.0385m 表8雅虎网页数据集平均精度测试结果 Table 8 Test results of average precision on Yahoo Web Pages data set 数据集 ML-EKELM ML-KELM RELM ELM ML-RBF ML-KNN Arts 0.62730m 0.614302 0.6071±0.00113)0.59820.000950.60660.00180.5697±06 Business 0.8869H0 0.8829H02 0.88230.000430.8774牡0.000860.88050.00120.882204 Computers 0.7110±0 0.7009牡02 0.6995±0.00138)0.6922±0.001850.6960±0.002640.6620±06 Education 0.6460-0m 0.6379H02 0.6331±0.001430.61560.001250.6211±0.002240.608206 Entertainment 0.690 4+0 0.6847±02 0.6778±0.0015④0.6681±0.00250.6794牡0.003030.6218±06 Health 0.7955±0 0.7824±02 0.77750.001740.76860.002550.7812±0.00120.7562±06 Recreation 0.6342±0 0.6287±02 0.6269H0.00153)0.61070.002050.6201±0.00260.561306 Reference 0.72020 0.7087±03) 0.7050±0.001540.69670.0027周0.70960.002120.6820±06 Science 0.6042±0 0.5968±02 0.5880±0.002130.57440.00220.5830±0.00200.5489H06 Social 0.77350m 0.7719牡02 0.7664牡0.00126)0.7555±0.001950.7644牡0.001540.755506 Society 0.6437±0m 0.6364±02 0.6304牡0.00126,0.62130.002150.6274牡0.001240.618106 Average 0.70300.08650.69510.08742 0.6904牡0.08898)0.6799H0.091350.6881±0.0909④0.66050.10226 表9时间测试结果 Table 9 The results of testing time 数据集 ML-EKELM ML-KELM RELM ELM ML-RBF ML-KNN Yeast Gene 0.3195 0.2226 0.2672 0.2632 0.1837 0.5856 Scene 0.3963 0.1205 0.1926 0.1879 0.5253 1.8458 Arts 1.4875 0.7399 0.7908 0.7761 1.3086 4.8530 Business 1.5270 0.8025 0.8484 0.8456 1.4196 4.8498 Computers 1.8349 0.8874 0.9324 0.9578 1.8377 5.2708 Education 1.8456 0.8684 0.9143 0.8933 1.6075 5.2772 Entertainment 1.1074 0.6859 0.7109 0.7009 1.3568 3.0407 Health 1.8133 0.8767 0.9311 0.9519 1.7286 4.8117 Recreation 1.4050 0.6948 0.7409 0.7397 1.3211 4.8543 Reference 1.4634 0.8940 0.9197 0.9004 2.3278 4.8061 Science 1.9429 1.0132 1.1561 1.0274 2.4827 4.3769 Social 1.9571 1.0462 1.1348 1.0756 5.3349 5.3888 Society 1.3783 0.8042 0.8706 0.8243 1.6436 4.8933 Average Time 1.4214 0.7428 0.8008 0.7803 1.7752 4.2195表 7 雅虎网页数据集排序损失测试结果 Table 7 Test results of ranking loss↓ on Yahoo Web Pages data set 数据集 ML-EKELM ML-KELM RELM ELM ML-RBF ML-KNN Arts 0.126 8±0(1) 0.1358±0(3) 0.143 4±0.001 1(4) 0.153 6±0.001 1(6) 0.149 8±0.001 2(5) 0.127 9±0(2) Business 0.041 2±0(2) 0.041 5±0(3) 0.042 2±0.000 6(4) 0.047 2±0.000 5(6) 0.046 3±0.000 6(5) 0.035 9±0(1) Computers 0.080 2±0(1) 0.096 7±0(4) 0.094 9±0.000 8(3) 0.102 8±0.001 3(5) 0.105 8±0.002 0(6) 0.081 2±0(2) Education 0.088 4±0(2) 0.091 0±0(3) 0.093 6±0.000 6(4) 0.118 2±0.000 9(6) 0.112 7±0.001 6(5) 0.077 0±0(1) Entertainment 0.100 3±0(1) 0.100 7±0(2) 0.113 9±0.000 8(4) 0.124 4±0.001 2(5) 0.117 8±0.001 9(6) 0.108 1±0(3) Health 0.045 8±0(1) 0.051 7±0(3) 0.056 3±0.000 8(4) 0.065 6±0.000 9(6) 0.058 7±0.000 7(5) 0.047 3±0(2) Recreation 0.138 2±0(1) 0.146 0±0(3) 0.143 6±0.000 7(2) 0.163 4±0.001 6(6) 0.154 9±0.001 7(4) 0.155 0±0(5) Reference 0.080 8±0(2) 0.082 2±0(3) 0.088 9±0.001 1(4) 0.098 2±0.001 1(6) 0.092 9±0.001 0(5) 0.068 9±0(1) Science 0.114 6±0(2) 0.120 8±0(3) 0.130 0±0.000 7(4) 0.142 6±0.001 4(6) 0.136 2±0.001 3(5) 0.110 7±0(1) Social 0.064 8±0(2) 0.065 6±0(3) 0.070 9±0.000 7(4) 0.079 6±0.001 0(6) 0.077 0±0.001 3(5) 0.053 7±0(1) Society 0.133 4±0(2) 0.141 0±0(3) 0.148 1±0.000 6(4) 0.158 5±0.001 4(6) 0.149 1±0.001 1(5) 0.130 3±0(1) Average 0.092 2±0.033 7(2) 0.097 5±0.035 8(3) 0.102 3±0.036 6(4) 0.114 0±0.039 1(6) 0.109 2±0.037 4(5) 0.090 5±0.038 5(1) 表 8 雅虎网页数据集平均精度测试结果 Table 8 Test results of average precision ↑ on Yahoo Web Pages data set 数据集 ML-EKELM ML-KELM RELM ELM ML-RBF ML-KNN Arts 0.627 3±0(1) 0.614 3±0(2) 0.607 1±0.001 1(3) 0.598 2±0.000 9(5) 0.606 6±0.001 8(4) 0.569 7±0(6) Business 0.886 9±0(1) 0.882 9±0(2) 0.882 3±0.000 4(3) 0.877 4±0.000 8(6) 0.880 5±0.001 2(5) 0.882 2±0(4) Computers 0.711 0±0(1) 0.700 9±0(2) 0.699 5±0.001 3(3) 0.692 2±0.001 8(5) 0.696 0±0.002 6(4) 0.662 0±0(6) Education 0.646 0±0(1) 0.637 9±0(2) 0.633 1±0.001 4(3) 0.615 6±0.001 2(5) 0.621 1±0.002 2(4) 0.608 2±0(6) Entertainment 0.690 4±0(1) 0.684 7±0(2) 0.677 8±0.001 5(4) 0.668 1±0.002 5(5) 0.679 4±0.003 0(3) 0.621 8±0(6) Health 0.795 5±0(1) 0.782 4±0(2) 0.777 5±0.001 7(4) 0.768 6±0.002 5(5) 0.781 2±0.001 2(3) 0.756 2±0(6) Recreation 0.634 2±0(1) 0.628 7±0(2) 0.626 9±0.001 5(3) 0.610 7±0.002 0(5) 0.620 1±0.002 6(4) 0.561 3±0(6) Reference 0.720 2±0(1) 0.708 7±0(3) 0.705 0±0.001 5(4) 0.696 7±0.002 7(5) 0.709 6±0.002 1(2) 0.682 0±0(6) Science 0.604 2±0(1) 0.596 8±0(2) 0.588 0±0.002 1(3) 0.574 4±0.002 2(5) 0.583 0±0.002 0(4) 0.548 9±0(6) Social 0.773 5±0(1) 0.771 9±0(2) 0.766 4±0.001 2(3) 0.755 5±0.001 9(5) 0.764 4±0.001 5(4) 0.755 5±0(6) Society 0.643 7±0(1) 0.636 4±0(2) 0.630 4±0.001 2(3) 0.621 3±0.002 1(5) 0.627 4±0.001 2(4) 0.618 1±0(6) Average 0.703 0±0.086 5(1) 0.695 1±0.087 4(2) 0.690 4±0.088 9(3) 0.679 9±0.091 3(5) 0.688 1±0.090 9(4) 0.660 5±0.102 2(6) 表 9 时间测试结果 Table 9 The results of testing time s 数据集 ML-EKELM ML-KELM RELM ELM ML-RBF ML-KNN Yeast Gene 0.319 5 0.222 6 0.267 2 0.263 2 0.183 7 0.585 6 Scene 0.396 3 0.120 5 0.192 6 0.187 9 0.525 3 1.845 8 Arts 1.487 5 0.739 9 0.790 8 0.776 1 1.308 6 4.853 0 Business 1.527 0 0.802 5 0.848 4 0.845 6 1.419 6 4.849 8 Computers 1.834 9 0.887 4 0.932 4 0.957 8 1.837 7 5.270 8 Education 1.845 6 0.868 4 0.914 3 0.893 3 1.607 5 5.277 2 Entertainment 1.107 4 0.685 9 0.710 9 0.700 9 1.356 8 3.040 7 Health 1.813 3 0.876 7 0.931 1 0.951 9 1.728 6 4.811 7 Recreation 1.405 0 0.694 8 0.740 9 0.739 7 1.321 1 4.854 3 Reference 1.463 4 0.894 0 0.919 7 0.900 4 2.327 8 4.806 1 Science 1.942 9 1.013 2 1.156 1 1.027 4 2.482 7 4.376 9 Social 1.957 1 1.046 2 1.134 8 1.075 6 5.334 9 5.388 8 Society 1.378 3 0.804 2 0.870 6 0.824 3 1.643 6 4.893 3 Average Time 1.421 4 0.742 8 0.800 8 0.780 3 1.775 2 4.219 5 第 4 期 王一宾，等：弹性网络核极限学习机的多标记学习算法 ·839·