Multivariate Long-term Time Series Forecasting on Traffic (MSE, MAE)
0.353MSES_Mamba
Evaluation Results
| Method | Links | ||
|---|---|---|---|
| S_MambaPrediction Length=96, Backbone=S_Mamba2026.03 | 0.353 | 0.253 | |
| S_MambaPrediction Length=192, Backbone=S_Mamba2026.03 | 0.354 | 0.261 | |
| S_Mamba + TimeAPNPrediction Length=96, Backbone=S_Mamba2026.03 | 0.36 | 0.254 | |
| PatchTST + TimeAPNPrediction Length=96, Backbone=PatchTST2026.03 | 0.362 | 0.258 | |
| TA-SparseMGForecast horizon (T)=96, Look-back length (L)=7202026.06 | 0.362 | 0.243 | |
| PatchTSTHorizon=96, Parameter(720)=6.31M2024.10 | 0.366 | — | |
| S_MambaPrediction Length=336, Backbone=S_Mamba2026.03 | 0.368 | 0.264 | |
| Time TrackerModeling Type=Channel-Mixing (CM), Input Length (L)=96, Predicting Length (F)=962025.05 | 0.37 | 0.249 | |
| S_Mamba + TimeAPNPrediction Length=192, Backbone=S_Mamba2026.03 | 0.37 | 0.264 | |
| PatchTSTPrediction Length=96, Backbone=PatchTST2026.03 | 0.372 | 0.259 | |
| TALONEvaluation Protocol=one-for-all, Lookback Window (L)=672, Training Horizon=96-step2026.06 | 0.373 | 0.253 | |
| DLinear + TimeAPNPrediction Length=96, Backbone=DLinear2026.03 | 0.374 | 0.262 | |
| PatchTST + TimeAPNPrediction Length=192, Backbone=PatchTST2026.03 | 0.375 | 0.265 | |
| Timer XLEvaluation Protocol=one-for-all, Lookback Window (L)=672, Training Horizon=96-step2026.06 | 0.378 | 0.256 | |
| AutoTimesEvaluation Protocol=one-for-all, Lookback Window (L)=672, Training Horizon=96-step2026.06 | 0.379 | 0.265 | |
| InA-ProbeEvaluation Protocol=one-for-all, Lookback Window (L)=672, Training Horizon=96-step2026.06 | 0.383 | 0.262 | |
| InA-ProbeEvaluation Protocol=One-for-all, Prediction Length/Horizon Training Strategy=Single 96-step model serves all horizons2026.06 | 0.383 | 0.262 | |
| PatchTSTPrediction Length=192, Backbone=PatchTST2026.03 | 0.384 | 0.263 | |
| iTransformerEvaluation Protocol=one-for-all, Lookback Window (L)=672, Training Horizon=96-step2026.06 | 0.384 | 0.272 | |
| CALFEvaluation Protocol=One-for-one, Prediction Length/Horizon Training Strategy=Trained respectively for each prediction length2026.06 | 0.386 | 0.265 | |
| iTransformerEvaluation Protocol=One-for-one, Prediction Length/Horizon Training Strategy=Trained respectively for each prediction length2026.06 | 0.386 | 0.275 | |
| PatchTSTHorizon=192, Parameter(720)=6.31M2024.10 | 0.388 | — | |
| PENGUINLook-back length (L)=336, Prediction horizons (H)={96, 192, 336, 720}2025.08 | 0.388 | 0.262 | |
| MixLinearHorizon=96, Parameter(720)=0.176K2024.10 | 0.389 | — | |
| SparseTSFHorizon=96, Parameter(720)=0.925K2024.10 | 0.389 | — | |
| S_Mamba + TimeAPNPrediction Length=336, Backbone=S_Mamba2026.03 | 0.39 | 0.278 | |
| iTransformerLook-back length (L)=336, Prediction horizons (H)={96, 192, 336, 720}2025.08 | 0.39 | 0.275 | |
| iTransformerModeling Type=Channel-Mixing (CM), Input Length (L)=96, Predicting Length (F)=962025.05 | 0.392 | 0.263 | |
| DLinear + TimeAPNPrediction Length=192, Backbone=DLinear2026.03 | 0.393 | 0.272 | |
| iTransformerHorizon=96, Parameter(720)=7.04M2024.10 | 0.395 | — | |
| PatchTST + TimeAPNPrediction Length=336, Backbone=PatchTST2026.03 | 0.395 | 0.278 | |
| PatchTSTEvaluation Protocol=One-for-one, Prediction Length/Horizon Training Strategy=Trained respectively for each prediction length2026.06 | 0.397 | 0.279 | |
| FITSHorizon=96, Parameter(720)=41.76K2024.10 | 0.398 | — | |
| SparseTSFHorizon=192, Parameter(720)=0.925K2024.10 | 0.398 | — | |
| PatchTSTHorizon=336, Parameter(720)=6.31M2024.10 | 0.398 | — | |
| PatchTSTPrediction Length=336, Backbone=PatchTST2026.03 | 0.398 | 0.27 | |
| TimeLLMEvaluation Protocol=One-for-one, Prediction Length/Horizon Training Strategy=Trained respectively for each prediction length2026.06 | 0.402 | 0.284 | |
| MixLinearHorizon=192, Parameter(720)=0.176K2024.10 | 0.403 | — | |
| SEEDInput length (L)=96, Forecasting horizons (T)={96, 192, 336, 720}2025.12 | 0.404 | 0.265 | |
| TimeMixerEvaluation Protocol=One-for-one, Prediction Length/Horizon Training Strategy=Trained respectively for each prediction length2026.06 | 0.404 | 0.285 | |
| PatchTSTLook-back length (L)=336, Prediction horizons (H)={96, 192, 336, 720}2025.08 | 0.405 | 0.282 | |
| TimerModeling Type=Channel-Independent (CI), Input Length (L)=96, Predicting Length (F)=962025.05 | 0.407 | 0.26 | |
| PatchTSTEvaluation Protocol=one-for-all, Lookback Window (L)=672, Training Horizon=96-step2026.06 | 0.408 | 0.298 | |
| FPTEvaluation Protocol=One-for-one, Prediction Length/Horizon Training Strategy=Trained respectively for each prediction length2026.06 | 0.408 | 0.288 | |
| SOFTSInput length (L)=96, Forecasting horizons (T)={96, 192, 336, 720}2025.12 | 0.409 | 0.267 | |
| FITSHorizon=192, Parameter(720)=41.76K2024.10 | 0.409 | — | |
| DLinear + TimeAPNPrediction Length=336, Backbone=DLinear2026.03 | 0.409 | 0.28 | |
| SparseTSFHorizon=336, Parameter(720)=0.925K2024.10 | 0.411 | — | |
| CATSLook-back length (L)=336, Prediction horizons (H)={96, 192, 336, 720}2025.08 | 0.411 | 0.276 | |
| DLinearHorizon=96, Parameter(720)=485.3K2024.10 | 0.413 | — | |
| DLinearPrediction Length=96, Backbone=DLinear2026.03 | 0.413 | 0.287 | |
| TimeLLMEvaluation Protocol=one-for-all, Lookback Window (L)=672, Training Horizon=96-step2026.06 | 0.414 | 0.305 | |
| MixLinearHorizon=336, Parameter(720)=0.176K2024.10 | 0.416 | — | |
| iTransformerHorizon=192, Parameter(720)=7.04M2024.10 | 0.417 | — | |
| S_MambaPrediction Length=720, Backbone=S_Mamba2026.03 | 0.42 | 0.288 | |
| FITSHorizon=336, Parameter(720)=41.76K2024.10 | 0.421 | — | |
| DLinearHorizon=192, Parameter(720)=485.3K2024.10 | 0.423 | — | |
| CycleNetLook-back length (L)=336, Prediction horizons (H)={96, 192, 336, 720}2025.08 | 0.423 | 0.288 | |
| DLinearPrediction Length=192, Backbone=DLinear2026.03 | 0.424 | 0.29 | |
| iTransformerInput length (L)=96, Forecasting horizons (T)={96, 192, 336, 720}2025.12 | 0.428 | 0.282 | |
| FPTEvaluation Protocol=one-for-all, Lookback Window (L)=672, Training Horizon=96-step2026.06 | 0.428 | 0.312 | |
| iTrans.Horizon=Avg, Input length=962026.06 | 0.428 | 0.282 | |
| SimpleTMForecast horizon (T)=720, Look-back length (L)=7202026.06 | 0.43 | 0.263 | |
| PatchTST + TimeAPNPrediction Length=720, Backbone=PatchTST2026.03 | 0.432 | 0.298 | |
| iTransformerHorizon=336, Parameter(720)=7.04M2024.10 | 0.433 | — | |
| DLinearLook-back length (L)=336, Prediction horizons (H)={96, 192, 336, 720}2025.08 | 0.434 | 0.295 | |
| MoLELook-back length (L)=336, Prediction horizons (H)={96, 192, 336, 720}2025.08 | 0.434 | 0.295 | |
| MTLinearLook-back length (L)=336, Prediction horizons (H)={96, 192, 336, 720}2025.08 | 0.434 | 0.295 | |
| PatchTSTPrediction Length=720, Backbone=PatchTST2026.03 | 0.435 | 0.29 | |
| SparseTSFLook-back length (L)=336, Prediction horizons (H)={96, 192, 336, 720}2025.08 | 0.436 | 0.29 | |
| SimpleTMEvaluation Protocol=one-for-all, Lookback Window (L)=672, Training Horizon=96-step2026.06 | 0.436 | 0.317 | |
| DLinearHorizon=336, Parameter(720)=485.3K2024.10 | 0.437 | — | |
| DLinearPrediction Length=336, Backbone=DLinear2026.03 | 0.438 | 0.299 | |
| S_Mamba + TimeAPNPrediction Length=720, Backbone=S_Mamba2026.03 | 0.438 | 0.302 | |
| TimeMixerEvaluation Protocol=one-for-all, Lookback Window (L)=672, Training Horizon=96-step2026.06 | 0.442 | 0.321 | |
| PatchTSTModeling Type=Channel-Independent (CI), Input Length (L)=96, Predicting Length (F)=962025.05 | 0.444 | 0.283 | |
| TQNetInput length (L)=96, Forecasting horizons (T)={96, 192, 336, 720}2025.12 | 0.445 | 0.276 | |
| DLinear + TimeAPNPrediction Length=720, Backbone=DLinear2026.03 | 0.447 | 0.3 | |
| SparseTSFHorizon=720, Parameter(720)=0.925K2024.10 | 0.448 | — | |
| FEDformer + TimeAPNPrediction Length=96, Backbone=FEDformer2026.03 | 0.449 | 0.283 | |
| DUETInput length (L)=96, Forecasting horizons (T)={96, 192, 336, 720}2025.12 | 0.451 | 0.269 | |
| MixLinearHorizon=720, Parameter(720)=0.176K2024.10 | 0.452 | — | |
| SimpleTMEvaluation Protocol=One-for-one, Prediction Length/Horizon Training Strategy=Trained respectively for each prediction length2026.06 | 0.453 | 0.331 | |
| FITSHorizon=720, Parameter(720)=41.76K2024.10 | 0.457 | — | |
| PatchTSTHorizon=720, Parameter(720)=6.31M2024.10 | 0.457 | — | |
| DLinearHorizon=720, Parameter(720)=485.3K2024.10 | 0.466 | — | |
| DLinearPrediction Length=720, Backbone=DLinear2026.03 | 0.466 | 0.316 | |
| iTransformerHorizon=720, Parameter(720)=7.04M2024.10 | 0.467 | — | |
| FEDformer + TimeAPNPrediction Length=192, Backbone=FEDformer2026.03 | 0.47 | 0.298 | |
| FEDformer + TimeAPNPrediction Length=336, Backbone=FEDformer2026.03 | 0.476 | 0.316 | |
| PatchTSTHorizon=Avg, Input length=962026.06 | 0.481 | 0.304 | |
| FEDformer + TimeAPNPrediction Length=720, Backbone=FEDformer2026.03 | 0.52 | 0.32 | |
| SCINetHorizon=192, Parameter(720)=23.62M2024.10 | 0.535 | — | |
| SCINetHorizon=336, Parameter(720)=23.62M2024.10 | 0.54 | — | |
| StateFlowHorizon=Avg, Input length=962026.06 | 0.547 | 0.348 | |
| FEDformerHorizon=96, Parameter(720)=17.98M2024.10 | 0.573 | — | |
| FEDformerPrediction Length=96, Backbone=FEDformer2026.03 | 0.575 | 0.357 | |
| TimesNetHorizon=96, Parameter(720)=301.7M2024.10 | 0.593 | — | |
| TimesNetModeling Type=Channel-Independent (CI), Input Length (L)=96, Predicting Length (F)=962025.05 | 0.593 | 0.321 | |
| AutoformerModeling Type=Channel-Mixing (CM), Input Length (L)=96, Predicting Length (F)=962025.05 | 0.597 | 0.371 |