Table 5 Results of performance evaluation of the six employed models in approaches I and II.
Approach I | Approach II | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
MDL models | R | RMSE | MAE | RSD | U95 | VAF | R | RMSE | MAE | RSD | U95 | VAF |
Training stage | Training stage | |||||||||||
ANN | 0.98 | 3.30 | 2.22 | 0.18 | 36.93 | 98.26 | 0.97 | 4.86 | 3.95 | 0.26 | 37.59 | 97.67 |
MARS | 0.98 | 2.69 | 1.75 | 0.14 | 36.74 | 98.79 | 0.97 | 3.70 | 2.25 | 0.20 | 37.08 | 97.49 |
M5p-MT | 0.98 | 3.33 | 1.86 | 0.18 | 36.94 | 97.78 | 0.97 | 4.03 | 2.36 | 0.22 | 37.21 | 96.88 |
LWP | 0.94 | 6.02 | 3.04 | 0.32 | 38.23 | 92.12 | 0.97 | 3.82 | 2.51 | 0.21 | 37.13 | 97.58 |
XGBoost | 0.99 | 2.14 | 0.99 | 0.12 | 36.60 | 98.95 | 0.98 | 2.67 | 1.42 | 0.14 | 36.74 | 98.51 |
LSTM | 0.98 | 3.18 | 2.06 | 0.17 | 36.89 | 98.30 | 0.98 | 3.12 | 2.30 | 0.20 | 37.09 | 98.25 |
Testing stage | Testing stage | |||||||||||
ANN | 0.97 | 3.70 | 2.36 | 0.21 | 31.61 | 96.71 | 0.97 | 4.61 | 5.42 | 0.31 | 32.37 | 94.36 |
MARS | 0.97 | 3.93 | 2.47 | 0.17 | 31.39 | 96.21 | 0.97 | 3.85 | 2.38 | 0.23 | 31.78 | 96.27 |
M5p-MT | 0.97 | 3.54 | 1.90 | 0.21 | 31.62 | 96.38 | 0.97 | 4.31 | 2.96 | 0.26 | 31.94 | 96.03 |
LWP | 0.96 | 4.94 | 2.51 | 0.38 | 33.12 | 92.67 | 0.96 | 4.82 | 3.07 | 0.24 | 31.84 | 94.11 |
XGBoost | 0.98 | 3.17 | 1.70 | 0.24 | 31.23 | 96.84 | 0.97 | 3.88 | 2.25 | 0.27 | 31.38 | 95.27 |
LSTM | 0.99 | 2.82 | 1.51 | 0.20 | 31.06 | 98.11 | 0.98 | 3.38 | 2.11 | 0.24 | 31.19 | 97.91 |