TABLE IV Long-term prediction performance of all models for the experimental wind speed time series. LONG-TERM WIND SPEED TIME SERIES WITH A PARTITION RATIO OF 1:1 ALGORITHM ENN MLP DT SVR-L SVR-P SVR-R SVR-S LSTM DNM-BP EDNM DNR-BP DNR-SMS MSE (MEAN ± STD (OR SD)) 1.19E-01±3.77E-01 2.86E-02±5.42E-03 2.33E-02±0.00E+00 1.66E-02±0.00E+00 2.07E-02±0.00E+00 P-VALUE 9.13E-07 9.13E-07 9.13E-07 RMSE (MEAN ± STD (OR SD)) 2.28E-01±2.59E-01 1.68E-01±1.54E-02 P-VALUE 9.13E-07 9.13E-07 1.53E-01±0.00E+00 9.12E-07 1.44E-01±0.00E+00 9.12E-07 MAE (MEAN ± STD (OR SD)) 1.99E+00±3.50E-01 2.24E+00±2.18E-01 P-VALUE 9.13E-07 9.12E-07 2.04E+00±0.00E+00 9.12E-07 1.98E+00±0.00E+00 9.12E-07 R (MEAN ± STD (OR SD)) 4.01E-01±1.26E-01 2.94E-01±1.18E-01 4.45E-01±0.00E+00 1.00E+00 1.29E-01±0.00E+00 1.00E+00 1.68E+00±0.00E+00 1.00E+00 5.59E-01±0.00E+00 9.13E-07 4.56E-01±0.00E+00 1.65E-02±0.00E+00 1.00E+00 1.28E-01±0.00E+00 1.00E+00 1.70E+00±0.00E+00 1.00E+00 5.68E-01±0.00E+00 1.68E-02±0.00E+00 1.99E-02±2.10E-04 1.70E-02±3.63E-04 1.72E-02±4.20E-04 1.75E-02±1.86E-03 1.69E-02±2.04E-04 9.94E-01 9.13E-07 5.69E-01 2.10E-03 3.04E-01 - ALGORITHM ENN MLP DT SVR-L SVR-P SVR-R SVR-S LSTM DNM-BP EDNM DNR-BP DNR-SMS MSE (MEAN ± STD (OR SD)) 3.15E-02±4.48E-02 2.72E-02±4.10E-03 2.57E-02±0.00E+00 1.73E-02±0.00E+00 2.01E-02±0.00E+00 1.71E-02±0.00E+00 1.75E-02±0.00E+00 1.86E-02±1.96E-04 1.76E-02±1.38E-03 1.76E-02±6.87E-04 1.74E-02±3.52E-04 1.71E-02±1.84E-04 ALGORITHM ENN MLP DT SVR-L SVR-P SVR-R SVR-S LSTM DNM-BP EDNM DNR-BP DNR-SMS MSE (MEAN ± STD (OR SD)) 2.70E-02±3.88E-03 3.94E-02±6.43E-03 3.36E-02±0.00E+00 2.25E-02±0.00E+00 2.58E-02±0.00E+00 2.22E-02±0.00E+00 2.28E-02±0.00E+00 2.41E-02±9.15E-04 2.24E-02±1.81E-03 2.25E-02±1.17E-03 2.24E-02±4.79E-04 2.21E-02±3.55E-04 1.30E-01±0.00E+00 9.93E-01 1.41E-01±7.48E-04 1.30E-01±1.39E-03 1.31E-01±1.60E-03 1.32E-01±6.59E-03 1.30E-01±7.85E-04 9.11E-07 5.69E-01 2.10E-03 3.04E-01 - P-VALUE 9.13E-07 9.13E-07 9.11E-07 3.32E-06 9.13E-07 3.75E-01 9.11E-07 9.12E-07 1.30E-03 6.91E-04 2.00E-03 - RMSE (MEAN ± STD (OR SD)) 1.62E-01±7.20E-02 1.64E-01±1.24E-02 1.69E+00±0.00E+00 1.00E+00 5.51E-01±0.00E+00 1.95E+00±1.27E-02 1.70E+00±4.40E-02 1.72E+00±3.48E-02 1.73E+00±9.29E-02 1.72E+00±1.07E-02 9.12E-07 9.41E-01 2.11E-01 5.73E-01 - LONG-TERM WIND SPEED TIME SERIES WITH A PARTITION RATIO OF 4:1 P-VALUE 9.13E-07 9.13E-07 1.60E-01±0.00E+00 9.12E-07 1.32E-01±0.00E+00 3.32E-06 1.42E-01±0.00E+00 9.12E-07 1.31E-01±0.00E+00 3.83E-01 1.32E-01±0.00E+00 9.12E-07 1.36E-01±7.19E-04 1.32E-01±4.80E-03 1.33E-01±2.55E-03 1.32E-01±1.32E-03 1.31E-01±7.05E-04 - P-VALUE 1.01E-06 9.13E-07 9.12E-07 4.88E-06 9.12E-07 1.38E-01 9.12E-07 9.13E-07 4.75E-01 8.10E-02 1.18E-02 - RMSE (MEAN ± STD (OR SD)) 1.64E-01±1.10E-02 1.98E-01±1.60E-02 MAE (MEAN ± STD (OR SD)) 1.83E+00±1.21E-01 2.12E+00±1.63E-01 P-VALUE 9.13E-07 9.13E-07 9.12E-07 1.40E-03 7.15E-04 2.10E-03 2.13E+00±0.00E+00 9.12E-07 1.69E+00±0.00E+00 1.37E-06 1.88E+00±0.00E+00 9.12E-07 1.68E+00±0.00E+00 8.35E-05 1.70E+00±0.00E+00 9.12E-07 1.81E+00±1.42E-02 1.71E+00±8.51E-02 1.70E+00±2.67E-02 1.68E+00±4.09E-02 1.67E+00±9.46E-03 9.13E-07 2.70E-03 7.70E-05 1.38E-01 - LONG-TERM WIND SPEED TIME SERIES WITH A PARTITION RATIO OF 9:1 P-VALUE 1.01E-06 9.13E-07 1.83E-01±0.00E+00 9.12E-07 1.50E-01±0.00E+00 4.88E-06 1.61E-01±0.00E+00 9.12E-07 1.49E-01±0.00E+00 1.33E-01 1.51E-01±0.00E+00 9.12E-07 1.55E-01±2.93E-03 1.50E-01±5.53E-03 1.50E-01±3.80E-03 1.50E-01±1.58E-03 1.49E-01±1.20E-03 9.13E-07 4.75E-01 8.10E-02 1.12E-02 - MAE (MEAN ± STD (OR SD)) 2.01E+00±7.23E-02 2.56E+00±2.31E-01 P-VALUE 9.13E-07 9.13E-07 2.36E+00±0.00E+00 9.12E-07 1.89E+00±0.00E+00 9.12E-07 2.08E+00±0.00E+00 9.12E-07 1.88E+00±0.00E+00 4.88E-06 1.91E+00±0.00E+00 9.12E-07 2.08E+00±1.05E-01 1.89E+00±1.02E-01 1.88E+00±5.46E-02 1.87E+00±3.47E-02 1.86E+00±1.35E-02 9.13E-07 1.16E-01 9.23E-02 5.66E-02 - R (MEAN ± STD (OR SD)) 4.05E-01±5.49E-02 2.05E-01±1.03E-01 3.31E-01±0.00E+00 4.76E-01±0.00E+00 3.70E-01±0.00E+00 4.85E-01±0.00E+00 4.68E-01±0.00E+00 4.90E-01±5.96E-03 4.75E-01±1.05E-01 4.88E-01±3.28E-02 4.90E-01±1.22E-02 4.94E-01±9.41E-03 R (MEAN ± STD (OR SD)) 3.92E-01±7.47E-02 2.83E-01±1.21E-01 3.54E-01±0.00E+00 5.01E-01±0.00E+00 4.03E-01±0.00E+00 5.08E-01±0.00E+00 4.94E-01±0.00E+00 4.55E-01±7.19E-03 4.97E-01±8.60E-02 5.03E-01±2.40E-02 5.09E-01±5.46E-03 5.14E-01±6.22E-03 4.90E-01±1.25E-02 5.50E-01±1.97E-02 5.50E-01±1.35E-02 5.41E-01±7.08E-02 5.53E-01±5.73E-03 60 IEEE COMPUTATIONAL INTELLIGENCE MAGAZINE | AUGUST 2021