IEEE Computational Intelligence Magazine - August 2021 - 60

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

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