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 |