Table 2 Performance comparison of WMF-Traffic with state-of-the-art baselines across four traffic prediction datasets. Results are reported as mean ± standard deviation over 5 independent runs. Best results are highlighted.
From: Multi-scale Wavelet-Mamba framework for spatiotemporal traffic forecasting
Method | METR-LA | PEMS-BAY | PEMS04 | PEMS08 | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\operatorname {MAE}\downarrow\) | \(\operatorname {RMSE}\downarrow\) | \(\operatorname {MAPE}\downarrow\) | \(\operatorname {Avg.}\) | \(\operatorname {MAE}\downarrow\) | \(\operatorname {RMSE}\downarrow\) | \(\operatorname {MAPE}\downarrow\) | \(\operatorname {Avg.}\) | \(\operatorname {MAE}\downarrow\) | \(\operatorname {RMSE}\downarrow\) | \(\operatorname {MAPE}\downarrow\) | \(\operatorname {Avg.}\) | \(\operatorname {MAE}\downarrow\) | \(\operatorname {RMSE}\downarrow\) | \(\operatorname {MAPE}\downarrow\) | \(\operatorname {Avg.}\) | |
\(\operatorname {VAR}\) | 4.52±0.23 | 8.34±0.35 | 13.87±0.51 | 8.91 | 2.56±0.17 | 5.78±0.31 | 6.21±0.26 | 4.85 | 30.45±0.72 | 47.23±0.96 | 22.67±0.64 | 33.45 | 24.89±0.58 | 39.56±0.78 | 17.89±0.52 | 27.45 |
\(\operatorname {SVR}\) | 4.28±0.21 | 8.12±0.33 | 12.45±0.46 | 8.28 | 2.34±0.15 | 5.48±0.28 | 5.76±0.23 | 4.53 | 29.34±0.68 | 45.67±0.91 | 21.34±0.59 | 32.12 | 23.78±0.54 | 38.12±0.73 | 16.78±0.48 | 26.23 |
\(\operatorname {LSTM}\) | 3.98±0.19 | 7.76±0.29 | 11.23±0.39 | 7.66 | 2.09±0.13 | 5.01±0.24 | 5.14±0.19 | 4.08 | 27.89±0.61 | 43.56±0.83 | 19.78±0.53 | 30.41 | 22.34±0.49 | 36.78±0.68 | 15.67±0.43 | 24.93 |
\(\operatorname {GRU}\) | 3.84±0.18 | 7.52±0.27 | 10.76±0.36 | 7.37 | 1.96±0.12 | 4.78±0.22 | 4.89±0.17 | 3.88 | 27.12±0.57 | 42.78±0.79 | 19.12±0.49 | 29.67 | 21.89±0.46 | 36.23±0.64 | 15.23±0.41 | 24.45 |
\(\operatorname {Transformer}\) | 3.76±0.16 | 7.38±0.25 | 10.45±0.33 | 7.20 | 1.87±0.11 | 4.61±0.20 | 4.67±0.16 | 3.72 | 26.45±0.53 | 41.89±0.75 | 18.56±0.46 | 28.97 | 21.34±0.43 | 35.67±0.61 | 14.89±0.38 | 23.97 |
\(\operatorname {Informer}\) | 3.69±0.17 | 7.25±0.26 | 10.21±0.34 | 7.05 | 1.82±0.12 | 4.48±0.21 | 4.53±0.17 | 3.61 | 26.01±0.54 | 41.23±0.77 | 18.23±0.47 | 28.49 | 20.98±0.44 | 35.23±0.62 | 14.61±0.39 | 23.61 |
\(\operatorname {Autoformer}\) | 3.62±0.15 | 7.14±0.24 | 10.01±0.31 | 6.92 | 1.76±0.11 | 4.35±0.19 | 4.42±0.15 | 3.51 | 25.45±0.51 | 40.34±0.72 | 17.78±0.44 | 27.86 | 20.56±0.41 | 34.67±0.58 | 14.28±0.36 | 23.17 |
\(\operatorname {DCRNN}\) | 3.67±0.16 | 7.21±0.25 | 10.15±0.32 | 7.01 | 1.79±0.11 | 4.42±0.20 | 4.48±0.16 | 3.56 | 25.78±0.52 | 40.89±0.74 | 18.01±0.45 | 28.23 | 20.87±0.42 | 35.01±0.59 | 14.45±0.37 | 23.44 |
\(\operatorname {GraphWaveNet}\) | 3.64±0.15 | 7.18±0.23 | 10.08±0.30 | 6.97 | 1.77±0.10 | 4.38±0.18 | 4.45±0.14 | 3.53 | 25.61±0.49 | 40.56±0.71 | 17.89±0.43 | 28.02 | 20.71±0.40 | 34.78±0.57 | 14.34±0.35 | 23.28 |
\(\operatorname {ASTGCN}\) | 3.59±0.14 | 7.09±0.22 | 9.95±0.29 | 6.88 | 1.74±0.10 | 4.31±0.17 | 4.38±0.13 | 3.48 | 25.34±0.47 | 40.12±0.68 | 17.67±0.41 | 27.71 | 20.45±0.38 | 34.45±0.55 | 14.18±0.33 | 23.03 |
\(\operatorname {STGODE}\) | 3.56±0.13 | 7.03±0.21 | 9.87±0.27 | 6.82 | 1.71±0.09 | 4.25±0.16 | 4.32±0.12 | 3.43 | 25.12±0.45 | 39.78±0.65 | 17.45±0.39 | 27.45 | 20.23±0.36 | 34.12±0.52 | 13.98±0.31 | 22.78 |
\(\operatorname {S4}\) | 3.57±0.14 | 7.05±0.22 | 9.91±0.28 | 6.84 | 1.72±0.10 | 4.27±0.17 | 4.35±0.13 | 3.45 | 25.23±0.46 | 39.89±0.67 | 17.56±0.40 | 27.56 | 20.31±0.37 | 34.23±0.53 | 14.05±0.32 | 22.86 |
\(\operatorname {PatchTST}\) | 3.54±0.13 | 7.01±0.20 | 9.84±0.26 | 6.80 | 1.70±0.09 | 4.23±0.16 | 4.29±0.12 | 3.41 | 25.05±0.43 | 39.65±0.63 | 17.38±0.38 | 27.36 | 20.15±0.35 | 34.01±0.51 | 13.92±0.30 | 22.69 |
\(\operatorname {Mamba}\) | 3.51±0.12 | 6.97±0.19 | 9.78±0.25 | 6.75 | 1.68±0.08 | 4.19±0.15 | 4.25±0.11 | 3.37 | 24.89±0.41 | 39.45±0.61 | 17.23±0.36 | 27.19 | 19.98±0.33 | 33.78±0.49 | 13.81±0.28 | 22.52 |
WMF-Traffic (Ours) | 3.05±0.09 | 6.12±0.16 | 8.54±0.21 | 5.90 | 1.45±0.07 | 3.67±0.13 | 3.72±0.10 | 2.95 | 21.56±0.37 | 34.78±0.56 | 15.12±0.33 | 23.82 | 17.23±0.30 | 29.45±0.45 | 12.01±0.26 | 19.56 |
