Table 3 Ablation studies of WMF-Traffic components on traffic prediction datasets. \(\operatorname {MWD}\) denotes Multi-scale Wavelet Decomposition. \(\operatorname {WTC}\) represents Wavelet Traffic Convolution. \(\operatorname {T {-}Mamba}\) is Traffic-aware Mamba. \(\operatorname {FPA}\) indicates Fourier Pattern Adjustment. Results are reported as mean ± standard deviation over 5 independent runs.

From: Multi-scale Wavelet-Mamba framework for spatiotemporal traffic forecasting

\(\operatorname {MWD}\)

\(\operatorname {WTC}\)

T-Mamba

\(\operatorname {FPA}\)

METR-LA

PEMS-BAY

\(\operatorname {PEMS04}\)

\(\operatorname {MAE}\downarrow\)

\(\operatorname {RMSE}\downarrow\)

\(\operatorname {MAPE}\downarrow\)

\(\operatorname {MAE}\downarrow\)

\(\operatorname {RMSE}\downarrow\)

\(\operatorname {MAPE}\downarrow\)

\(\operatorname {MAE}\downarrow\)

\(\operatorname {RMSE}\downarrow\)

\(\operatorname {MAPE}\downarrow\)

\(\checkmark\)

   

6.48±0.34

12.34±0.58

18.67±0.82

3.12±0.28

7.45±0.51

8.56±0.47

45.23±1.34

68.45±2.18

32.78±1.45

 

\(\checkmark\)

  

7.01±0.38

13.12\(\pm\)\(\pm\)0.64

19.89±0.91

3.45±0.31

7.89±0.56

9.12±0.52

48.67±1.48

71.23±2.34

34.89±1.58

  

\(\checkmark\)

 

4.52±0.26

9.23±0.47

13.45±0.61

2.28±0.21

5.89±0.38

6.34±0.35

32.45±0.98

52.34±1.67

23.67±0.96

   

\(\checkmark\)

6.78±0.36

12.78±0.61

19.23±0.87

3.28±0.29

7.67±0.53

8.89±0.49

46.89±1.41

69.78±2.25

33.89±1.52

\(\checkmark\)

\(\checkmark\)

  

5.87±0.32

11.45±0.55

17.12±0.76

2.89±0.26

6.98±0.48

7.89±0.43

42.34±1.25

64.89±2.05

30.45±1.34

\(\checkmark\)

 

\(\checkmark\)

 

3.78±0.21

7.89±0.38

11.34±0.52

1.89±0.16

4.98±0.32

5.45±0.29

27.89±0.82

46.78±1.45

20.34±0.78

\(\checkmark\)

  

\(\checkmark\)

5.52±0.30

10.89±0.52

16.23±0.71

2.76±0.24

6.78±0.46

7.56±0.41

40.78±1.19

63.23±1.98

29.67±1.28

 

\(\checkmark\)

\(\checkmark\)

 

3.92±0.22

8.12±0.41

11.78±0.55

1.96±0.17

5.12±0.34

5.67±0.31

28.67±0.86

47.89±1.52

21.12±0.82

 

\(\checkmark\)

 

\(\checkmark\)

6.23±0.34

11.89±0.57

17.89±0.79

3.01±0.27

7.23±0.50

8.23±0.45

43.89±1.29

66.45±2.11

31.56±1.39

  

\(\checkmark\)

\(\checkmark\)

4.18±0.24

8.67±0.44

12.45±0.58

2.12±0.19

5.45±0.36

6.01±0.33

30.12±0.91

49.67±1.59

22.34±0.87

\(\checkmark\)

\(\checkmark\)

\(\checkmark\)

 

3.28±0.17

7.12±0.33

10.23±0.45

1.68±0.13

4.56±0.27

4.98±0.24

24.89±0.71

42.34±1.28

18.23±0.68

\(\checkmark\)

\(\checkmark\)

 

\(\checkmark\)

5.18±0.28

10.34±0.49

15.67±0.68

2.61±0.23

6.56±0.44

7.34±0.39

39.56±1.15

62.12±1.92

28.89±1.24

\(\checkmark\)

 

\(\checkmark\)

\(\checkmark\)

3.21±0.16

6.89±0.31

9.87±0.42

1.62±0.12

4.42±0.25

4.78±0.22

23.78±0.67

40.89±1.21

17.56±0.64

 

\(\checkmark\)

\(\checkmark\)

\(\checkmark\)

3.35±0.17

7.23±0.34

10.45±0.46

1.71±0.13

4.63±0.28

5.12±0.25

25.34±0.74

43.12±1.31

18.67±0.70

\(\checkmark\)

\(\checkmark\)

\(\checkmark\)

\(\checkmark\)

3.05±0.09

6.12±0.16

8.54±0.21

1.45±0.07

3.67±0.13

3.72±0.10

21.56±0.37

34.78±0.56

15.12±0.33