Long-term Time Series Forecasting on Traffic
0.246MSESCNN
Evaluation results
| Method | Links | |||
|---|---|---|---|---|
| SCNNPrediction length=32023.05 | 0.246 | 0.194 | — | |
| iTransformerPrediction length=32023.05 | 0.25 | 0.197 | — | |
| PatchTSTPrediction length=32023.05 | 0.252 | 0.195 | — | |
| CrossformerPrediction length=32023.05 | 0.289 | 0.21 | — | |
| SCNNPrediction length=242023.05 | 0.316 | 0.234 | — | |
| iTransformerPrediction length=242023.05 | 0.316 | 0.234 | — | |
| TriformerPrediction length=32023.05 | 0.32 | 0.221 | — | |
| PatchTSTPrediction length=242023.05 | 0.323 | 0.229 | — | |
| DLinearPrediction length=32023.05 | 0.331 | 0.255 | — | |
| CrossformerPrediction length=242023.05 | 0.335 | 0.231 | — | |
| IdealTSFH=962025.12 | 0.348 | 0.244 | — | |
| GTMT=962025.02 | 0.351 | 0.25 | — | |
| PESD-TSFL=AVG2026.05 | 0.354 | 0.242 | — | |
| PESD-TSFPrediction Length (O)=AVG2026.05 | 0.354 | 0.242 | — | |
| IdealTSFH=1922025.12 | 0.355 | 0.243 | — | |
| TimeBridgeAveraged prediction lengths={96, 192, 336, 720}2025.09 | 0.357 | 0.248 | — | |
| TSMixer + xCPDBackbone=TSMixer, Forecasting Horizon=1922026.03 | 0.358 | 0.275 | — | |
| PatchTSTT=962025.02 | 0.36 | 0.249 | — | |
| TIMEBRIDGEL=AVG2026.05 | 0.36 | 0.255 | — | |
| TIMEBRIDGEPrediction Length (O)=AVG2026.05 | 0.36 | 0.255 | — | |
| F-LLMYear=20242026.02 | 0.364 | 0.261 | — | |
| TTMET=1922025.02 | 0.365 | — | — | |
| ReNFAveraged prediction lengths={96, 192, 336, 720}2025.09 | 0.365 | 0.245 | — | |
| Variable-Invariant Two-Dimensional State Space ModelPrediction Length=962026.03 | 0.369 | 0.254 | — | |
| SEEDPrediction Length (T)=962025.12 | 0.37 | 0.247 | — | |
| LVICLYear=20262026.02 | 0.37 | 0.26 | — | |
| PatchTSTPrediction length=962023.05 | 0.371 | 0.251 | — | |
| TTMET=962025.02 | 0.372 | — | — | |
| GTMT=1922025.02 | 0.373 | 0.26 | — | |
| AutoTimesstrategy=one-for-all, context length=6722024.02 | 0.374 | 0.264 | — | |
| AutoTimesYear=20242026.02 | 0.374 | 0.264 | — | |
| Timer-XLAveraged prediction lengths={96, 192, 336, 720}2025.09 | 0.374 | 0.255 | — | |
| iTransformerPrediction length=962023.05 | 0.375 | 0.261 | — | |
| SOFTSPrediction Length (T)=962025.12 | 0.376 | 0.251 | — | |
| TimeAlignPrediction Length (O)=Avg2025.09 | 0.378 | 0.24 | — | |
| iTransformerYear=20242026.02 | 0.379 | 0.272 | — | |
| TTMET=3362025.02 | 0.379 | — | — | |
| PatchTSTT=1922025.02 | 0.379 | 0.256 | — | |
| IdealTSFH=3362025.12 | 0.38 | 0.259 | — | |
| FlowStateModel parameters=10.6M, Context length=4k, Zero-shot=true2025.08 | 0.381 | 0.234 | — | |
| Twins*H=962025.12 | 0.382 | 0.26 | — | |
| TriformerPrediction length=242023.05 | 0.383 | 0.251 | — | |
| iTrans.strategy=one-for-all, input length=672, output length=962024.02 | 0.384 | 0.274 | — | |
| iTransFormerInput length=672, Forecast horizon={96, 192, 336, 720}, Year=20242025.08 | 0.384 | 0.274 | — | |
| GTMstatus=pre-trained without modifications2025.02 | 0.385 | 0.266 | — | |
| TTM_E2025.02 | 0.385 | — | — | |
| GTMT=Avg2025.02 | 0.385 | 0.266 | — | |
| TTMET=Avg2025.02 | 0.385 | — | — | |
| SCNNPrediction length=962023.05 | 0.386 | 0.271 | — | |
| SE-LLMInput length=672, Forecast horizon={96, 192, 336, 720}2025.08 | 0.386 | 0.261 | — | |
| TimeDistillAveraged prediction lengths={96, 192, 336, 720}2025.09 | 0.387 | 0.271 | — | |
| TIME-LLMForecasting Horizons=96, 192, 336, 720 (averaged)2023.10 | 0.388 | 0.264 | — | |
| Time-LLMForecast lengths={96, 192, 336, 720}, Look-back window=5122024.11 | 0.388 | 0.264 | — | |
| TimeLLMYear=20242026.02 | 0.388 | 0.264 | — | |
| GTMT=3362025.02 | 0.388 | 0.267 | — | |
| GPT4TST=962025.02 | 0.388 | 0.282 | — | |
| SegRNNLookback length=720, Prediction horizon=Average2024.09 | 0.389 | 0.273 | — | |
| iTransformerMethod category=Transformer-based, Input sequence length=512, Predictive lengths={96, 192, 336, 720}2025.11 | 0.389 | 0.295 | — | |
| DMSCPrediction Length=96, Look-back Length=962025.08 | 0.389 | 0.259 | — | |
| PatchTSTForecasting Horizons=96, 192, 336, 720 (averaged)2023.10 | 0.39 | 0.263 | — | |
| PatchTSTMethod category=Transformer-based, Input sequence length=512, Predictive lengths={96, 192, 336, 720}2025.11 | 0.39 | 0.263 | — | |
| PatchTSTHorizons=Average of {96, 192, 336, 720}, Backbone=GPT-2 small2026.02 | 0.39 | 0.263 | — | |
| PatchTSTPrediction lengths={96, 192, 336, 720}2023.02 | 0.39 | 0.264 | — | |
| PatchTST2025.02 | 0.39 | 0.263 | — | |
| PatchTSTT=Avg2025.02 | 0.39 | 0.263 | — | |
| PatchTSTstrategy=one-for-all, input length=672, output length=962024.02 | 0.391 | 0.275 | — | |
| PatchTSTYear=20232026.02 | 0.391 | 0.264 | — | |
| DEFORM**L=AVG2026.05 | 0.391 | 0.278 | — | |
| PATCHTSTL=AVG2026.05 | 0.391 | 0.264 | — | |
| CrossformerPrediction length=962023.05 | 0.392 | 0.272 | — | |
| Peri-midFormerForecast lengths={96, 192, 336, 720}, Look-back window=5122024.11 | 0.392 | 0.27 | — | |
| PatchTSTForecast lengths={96, 192, 336, 720}, Look-back window=5122024.11 | 0.392 | 0.27 | — | |
| SEEDPrediction Length (T)=1922025.12 | 0.392 | 0.258 | — | |
| Twins*H=1922025.12 | 0.392 | 0.267 | — | |
| -Mixer++H=962025.12 | 0.392 | 0.253 | — | |
| PatchTSTT=3362025.02 | 0.392 | 0.264 | — | |
| DUETAveraged prediction lengths={96, 192, 336, 720}2025.09 | 0.393 | 0.256 | — | |
| PatchTSTPrediction length=1922023.05 | 0.394 | 0.26 | — | |
| TPCHorizons=Average of {96, 192, 336, 720}, Backbone=GPT-2 small2026.02 | 0.394 | 0.264 | — | |
| iTransformerPrediction Length (T)=96, Input sequence length (L)=962024.03 | 0.395 | 0.268 | — | |
| iTransformerPrediction Length (T)=962025.12 | 0.395 | 0.268 | — | |
| iTrans*H=962025.12 | 0.395 | 0.268 | — | |
| iTransformerAveraged prediction lengths={96, 192, 336, 720}2025.09 | 0.395 | 0.279 | — | |
| iTransformerPrediction length=1922023.05 | 0.396 | 0.268 | — | |
| TimeMachinePrediction Length (T)=96, Input sequence length (L)=962024.03 | 0.397 | 0.268 | — | |
| TSLANetForecast lengths={96, 192, 336, 720}, Look-back window=5122024.11 | 0.397 | 0.272 | — | |
| PatchTSTAveraged prediction lengths={96, 192, 336, 720}2025.09 | 0.397 | 0.275 | — | |
| ITRANS*L=AVG2026.05 | 0.397 | 0.282 | — | |
| SOFTSPrediction Length (T)=1922025.12 | 0.398 | 0.261 | — | |
| TCNYear=2024, Average over horizons=True2024.06 | 0.398 | 0.27 | — | |
| Variable-Invariant Two-Dimensional State Space ModelPrediction Length=Avg2026.03 | 0.398 | 0.276 | — | |
| IdealTSFH=7202025.12 | 0.399 | 0.266 | — | |
| TriTSLookback window=96, Prediction length=Average2026.04 | 0.399 | 0.258 | — | |
| TQNetInput length=672, Forecast horizon={96, 192, 336, 720}, Year=20252025.08 | 0.4 | 0.278 | — | |
| PatchTSTLookback length=336, Prediction horizon=Average2024.09 | 0.401 | 0.268 | — | |
| CVAformerForecasting Horizon=96, Input Sequence Length=962026.06 | 0.401 | 0.263 | — | |
| DLinearPrediction length=242023.05 | 0.402 | 0.281 | — | |
| -Mixer++H=1922025.12 | 0.402 | 0.258 | — | |
| Time-LLMInput length=672, Forecast horizon={96, 192, 336, 720}, Year=20242025.08 | 0.402 | 0.294 | — | |
| CycleNet/MLPLookback length=720, Prediction horizon=Average2024.09 | 0.403 | 0.282 | — |