Table 3 Forecast error of different models.

From: Prediction of air pollutant concentrations based on TCN-BiLSTM-DMAttention with STL decomposition

Air pollutant

LSTM

GRU

CNN-GRU-Attention

TCN-BiLSTM-DMAttention

STL-TCN-BiLSTM-Attention

STL-TCN-BiLSTM-DMAttention

RMSE

MAPE (%)

RMSE

MAPE (%)

RMSE

MAPE (%)

RMSE

MAPE (%)

RMSE

MAPE (%)

RMSE

MAPE (%)

\({\mathrm{PM}}_{2.5}\)

2.813

14.701

2.743

13.646

2.760

10.954

2.581

11.313

2.106

16.489

1.973

6.800

\({\mathrm{PM}}_{10}\)

9.772

19.685

10.541

21.701

8.367

16.125

7.611

15.287

4.432

12.593

6.054

10.492

\({\mathrm{SO}}_{2}\)

0.659

18.841

0.604

15.472

0.930

24.230

0.715

15.559

0.533

12.208

0.436

9.900

\({\mathrm{NO}}_{2}\)

2.698

10.830

2.620

8.938

2.605

8.950

2.843

11.805

1.901

8.299

1.545

6.299

CO

0.113

7.742

0.110

6.575

0.094

6.044

0.108

7.250

0.183

5.718

0.076

4.178

\({\mathrm{O}}_{3}\)

5.106

16.581

4.820

12.868

5.592

13.049

4.926

12.680

3.729

9.538

2.922

7.304

Average

–

14.730

–

13.200

–

13.225

–

12.316

–

10.808

–

7.496