Table 9 Average rank derived from the MCB test for DNN and statistical baseline models corresponding to the performance metrics (the best one is highlighted).
Datasets (MPa) | Models | Mean rank | |||
|---|---|---|---|---|---|
RMSE | MAE | MAPE (%) | SMAPE (%) | ||
5 | N-BEATS | 1 | 1 | 1 | 1 |
TCN | 3 | 4 | 3 | 3 | |
RNN | 8 | 8 | 8 | 8 | |
Transformer | 4 | 3 | 4 | 4 | |
ES | 5 | 5 | 5 | 5 | |
TBATS | 6 | 6.5 | 6 | 6 | |
Auto ARIMA | 7 | 6.5 | 7 | 7 | |
Theta | 2 | 2 | 2 | 2 | |
15 | N-BEATS | 1 | 1 | 1 | 1 |
TCN | 3 | 3 | 3 | 3 | |
RNN | 8 | 7 | 8 | 7 | |
Transformer | 7 | 8 | 7 | 7 | |
ES | 6 | 6 | 6 | 6 | |
TBATS | 2 | 2 | 2 | 2 | |
Auto ARIMA | 4 | 4 | 4 | 4 | |
Theta | 5 | 5 | 5 | 5 | |
25 | N-BEATS | 4 | 4 | 4 | 4 |
TCN | 3 | 3 | 3 | 3 | |
RNN | 5 | 5 | 6 | 7 | |
Transformer | 8 | 7 | 7 | 6 | |
ES | 7 | 8 | 8 | 8 | |
TBATS | 3 | 2 | 2 | 2 | |
Auto ARIMA | 6 | 6 | 5 | 5 | |
Theta | 1 | 1 | 1 | 1 | |
35 | N-BEATS | 3 | 3 | 2.5 | 2 |
TCN | 2 | 2 | 2.5 | 3 | |
RNN | 8 | 6 | 8 | 6 | |
Transformer | 6 | 7 | 6 | 6 | |
ES | 1 | 1 | 1 | 1 | |
TBATS | 7 | 8 | 7 | 8 | |
Auto ARIMA | 4 | 4 | 4 | 4 | |
Theta | 5 | 5 | 5 | 5 | |