Table 5 Descriptive statistics (means and standard deviations) of the performance measures of models optimized with DE in the test set.
From: Short-term streamflow modeling using data-intelligence evolutionary machine learning models
DA | Estimator | R | WI | RMSE | MAE | MAPE | NSE | KGE |
|---|---|---|---|---|---|---|---|---|
1 | ELM | 0.961 (0.006) | 0.979 (0.003) | 0.182 (0.013) | 0.118 (0.003) | 6.91 (0.210) | 0.915 (0.013) | 0.946 (0.008) |
EN | 0.966 (0.00) | 0.982 (0.00) | 0.168 (0.00) | 0.112 (0.00) | 6.51 (0.006) | 0.929 (0.00) | 0.956 (0.00) | |
MARS | 0.975 (0.00) | 0.987 (0.00) | 0.144 (0.00) | 0.099 (0.00) | 5.84 (0.037) | 0.948 (0.00) | 0.961 (0.002) | |
SVR | 0.981 (0.00) | 0.990 (0.00) | 0.128 (0.002) | 0.096 (0.003) | 5.80 (0.182) | 0.958 (0.002) | 0.963 (0.008) | |
XGB | 0.979 (0.00) | 0.989 (0.00) | 0.130 (0.003) | 0.094 (0.003) | 5.61 (0.167) | 0.957 (0.002) | 0.976 (0.001) | |
3 | ELM | 0.961 (0.003) | 0.979 (0.002) | 0.185 (0.007) | 0.121 (0.003) | 7.01 (0.185) | 0.913 (0.007) | 0.936 (0.005) |
EN | 0.965 (0.00) | 0.981 (0.00) | 0.175 (0.00) | 0.115 (0.00) | 6.63 (0.006) | 0.923 (0.00) | 0.945 (0.00) | |
MARS | 0.971 (0.003) | 0.985 (0.001) | 0.155 (0.008) | 0.096 (0.00) | 5.66 (0.034) | 0.939 (0.006) | 0.956 (0.003) | |
SVR | 0.977 (0.00) | 0.988 (0.00) | 0.141 (0.004) | 0.100 (0.003) | 5.98 (0.154) | 0.949 (0.003) | 0.954 (0.008) | |
XGB | 0.981 (0.00) | 0.990 (0.00) | 0.125 (0.002) | 0.096 (0.002) | 5.77 (0.082) | 0.960 (0.001) | 0.974 (0.002) | |
5 | ELM | 0.943 (0.003) | 0.969 (0.002) | 0.227 (0.007) | 0.150 (0.003) | 8.62 (0.187) | 0.870 (0.008) | 0.910 (0.005) |
EN | 0.945 (0.00) | 0.970 (0.00) | 0.221 (0.00) | 0.147 (0.00) | 8.36 (0.005) | 0.877 (0.00) | 0.917 (0.00) | |
MARS | 0.955 (0.002) | 0.976 (0.001) | 0.196 (0.005) | 0.135 (0.002) | 7.86 (0.122) | 0.903 (0.005) | 0.934 (0.005) | |
SVR | 0.957 (0.001) | 0.976 (0.00) | 0.203 (0.004) | 0.138 (0.002) | 8.20 (0.161) | 0.895 (0.004) | 0.901 (0.006) | |
XGB | 0.960 (0.00) | 0.979 (0.00) | 0.183 (0.002) | 0.137 (0.002) | 8.14 (0.107) | 0.916 (0.002) | 0.947 (0.003) | |
7 | ELM | 0.896 (0.006) | 0.943 (0.003) | 0.305 (0.010) | 0.196 (0.004) | 11.30 (0.288) | 0.764 (0.016) | 0.867 (0.009) |
EN | 0.902 (0.00) | 0.947 (0.00) | 0.291 (0.00) | 0.188 (0.00) | 10.72 (0.006) | 0.785 (0.00) | 0.882 (0.00) | |
MARS | 0.902 (0.023) | 0.946 (0.014) | 0.297 (0.035) | 0.190 (0.003) | 10.99 (0.132) | 0.773 (0.068) | 0.867 (0.029) | |
SVR | 0.918 (0.005) | 0.953 (0.003) | 0.284 (0.010) | 0.184 (0.003) | 10.65 (0.196) | 0.795 (0.015) | 0.856 (0.009) | |
XGB | 0.923 (0.004) | 0.958 (0.003) | 0.261 (0.009) | 0.187 (0.004) | 10.97 (0.196) | 0.828 (0.011) | 0.898 (0.008) |
