Table 7 Descriptive statistics (means and standard deviations) of the performance measures of models optimized with PSO 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 | 0.966 (0.002) | 0.982 (0.001) | 0.169 (0.006) | 0.112 (0.002) | 6.56 (0.116) | 0.928 (0.005) | 0.954 (0.004) |
EN | 0.966 (0.00) | 0.982 (0.00) | 0.168 (0.00) | 0.112 (0.00) | 6.52 (0.013) | 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) | 5.83 (0.029) | 0.948 (0.00) | 0.961 (0.002) | |
SVR | 0.955 (0.055) | 0.975 (0.032) | 0.184 (0.081) | 0.139 (0.068) | 8.43 (4.52) | 0.897 (0.122) | 0.934 (0.066) | |
XGB | 0.979 (0.00) | 0.989 (0.00) | 0.129 (0.002) | 0.093 (0.002) | 5.57 (0.127) | 0.958 (0.001) | 0.976 (0.001) | |
3 | ELM | 0.965 (0.00) | 0.981 (0.00) | 0.175 (0.002) | 0.116 (0.002) | 6.70 (0.112) | 0.922 (0.002) | 0.942 (0.002) |
EN | 0.965 (0.00) | 0.981 (0.00) | 0.175 (0.002) | 0.115 (0.00) | 6.65 (0.026) | 0.922 (0.002) | 0.943 (0.002) | |
MARS | 0.971 (0.003) | 0.985 (0.002) | 0.155 (0.009) | 0.096 (0.00) | 5.66 (0.035) | 0.939 (0.007) | 0.956 (0.004) | |
SVR | 0.932 (0.142) | 0.960 (0.090) | 0.208 (0.169) | 0.156 (0.143) | 9.43 (9.50) | 0.818 (0.460) | 0.901 (0.148) | |
XGB | 0.981 (0.00) | 0.990 (0.00) | 0.125 (0.003) | 0.096 (0.002) | 5.75 (0.125) | 0.960 (0.002) | 0.974 (0.003) | |
5 | ELM | 0.946 (0.00) | 0.971 (0.00) | 0.219 (0.00) | 0.146 (0.00) | 8.32 (0.007) | 0.878 (0.00) | 0.917 (0.00) |
EN | 0.945 (0.00) | 0.970 (0.00) | 0.221 (0.00) | 0.147 (0.00) | 8.36 (0.002) | 0.876 (0.00) | 0.916 (0.00) | |
MARS | 0.955 (0.002) | 0.976 (0.001) | 0.195 (0.005) | 0.135 (0.002) | 7.85 (0.123) | 0.903 (0.005) | 0.934 (0.005) | |
SVR | 0.948 (0.002) | 0.971 (0.001) | 0.218 (0.006) | 0.150 (0.005) | 8.73 (0.316) | 0.879 (0.006) | 0.906 (0.014) | |
XGB | 0.960 (0.001) | 0.979 (0.00) | 0.182 (0.003) | 0.137 (0.003) | 8.15 (0.126) | 0.916 (0.003) | 0.947 (0.005) | |
7 | ELM | 0.902 (0.003) | 0.947 (0.002) | 0.292 (0.005) | 0.189 (0.003) | 10.81 (0.255) | 0.783 (0.008) | 0.880 (0.006) |
EN | 0.902 (0.00) | 0.947 (0.00) | 0.291 (0.00) | 0.188 (0.00) | 10.73 (0.011) | 0.785 (0.00) | 0.881 (0.00) | |
MARS | 0.901 (0.023) | 0.945 (0.014) | 0.299 (0.035) | 0.192 (0.003) | 11.05 (0.145) | 0.770 (0.068) | 0.867 (0.029) | |
SVR | 0.902 (0.025) | 0.946 (0.014) | 0.297 (0.031) | 0.202 (0.027) | 11.74 (1.85) | 0.773 (0.059) | 0.867 (0.028) | |
XGB | 0.923 (0.004) | 0.958 (0.003) | 0.261 (0.009) | 0.186 (0.004) | 10.95 (0.173) | 0.828 (0.012) | 0.898 (0.009) |
