Long-term Time Series Forecasting on ETTm1
0.056MSEPatchTST
Evaluation results
| Method | Links | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| PatchTSTPrediction length=32023.05 | 0.056 | 0.149 | — | — | — | — | — | — | — | — | |
| CrossformerPrediction length=32023.05 | 0.057 | 0.151 | — | — | — | — | — | — | — | — | |
| SCNNPrediction length=32023.05 | 0.058 | 0.151 | — | — | — | — | — | — | — | — | |
| iTransformerPrediction length=32023.05 | 0.062 | 0.161 | — | — | — | — | — | — | — | — | |
| DLinearPrediction length=32023.05 | 0.062 | 0.156 | — | — | — | — | — | — | — | — | |
| TimesNetPrediction length=32023.05 | 0.067 | 0.168 | — | — | — | — | — | — | — | — | |
| TriformerPrediction length=32023.05 | 0.081 | 0.185 | — | — | — | — | — | — | — | — | |
| SCNNPrediction length=242023.05 | 0.193 | 0.27 | — | — | — | — | — | — | — | — | |
| PatchTSTPrediction length=242023.05 | 0.196 | 0.277 | — | — | — | — | — | — | — | — | |
| TimesNetPrediction length=242023.05 | 0.201 | 0.282 | — | — | — | — | — | — | — | — | |
| TriformerPrediction length=242023.05 | 0.206 | 0.288 | — | — | — | — | — | — | — | — | |
| CrossformerPrediction length=242023.05 | 0.209 | 0.282 | — | — | — | — | — | — | — | — | |
| DLinearPrediction length=242023.05 | 0.213 | 0.284 | — | — | — | — | — | — | — | — | |
| iTransformerPrediction length=242023.05 | 0.215 | 0.297 | — | — | — | — | — | — | — | — | |
| AutoformerPrediction length=32023.05 | 0.227 | 0.315 | — | — | — | — | — | — | — | — | |
| PESD-TSFPrediction Length (O)=962026.05 | 0.281 | 0.334 | — | — | — | — | — | — | — | — | |
| TIMEBRIDGEPrediction Length (O)=962026.05 | 0.284 | 0.337 | — | — | — | — | — | — | — | — | |
| SCNNPrediction length=962023.05 | 0.287 | 0.339 | — | — | — | — | — | — | — | — | |
| Variable-Invariant Two-Dimensional State Space ModelPrediction Length=962026.03 | 0.287 | 0.342 | — | — | — | — | — | — | — | — | |
| DEFORMPrediction Length (O)=962026.05 | 0.291 | 0.347 | — | — | — | — | — | — | — | — | |
| TCNPrediction Length=962026.03 | 0.292 | 0.346 | — | — | — | — | — | — | — | — | |
| PatchTSTHorizon=962024.05 | 0.293 | — | — | — | — | — | — | — | — | — | |
| TIMEMIXERPrediction Length (O)=962026.05 | 0.293 | 0.345 | — | — | — | — | — | — | — | — | |
| PATCHTSTPrediction Length (O)=962026.05 | 0.293 | 0.346 | — | — | — | — | — | — | — | — | |
| PatchTSTPrediction length=962023.05 | 0.299 | 0.347 | — | — | — | — | — | — | — | — | |
| DLinearHorizon=962024.05 | 0.299 | — | — | — | — | — | — | — | — | — | |
| iTRANSPrediction Length (O)=962026.05 | 0.3 | 0.353 | — | — | — | — | — | — | — | — | |
| TriformerPrediction length=962023.05 | 0.301 | 0.356 | — | — | — | — | — | — | — | — | |
| DLinearPrediction length=962023.05 | 0.304 | 0.345 | — | — | — | — | — | — | — | — | |
| FITSHorizon=962024.05 | 0.305 | — | — | — | — | — | — | — | — | — | |
| FRWKV+Horizon=962026.05 | 0.308 | 0.339 | — | — | — | — | — | — | — | — | |
| -Mixer++H=962025.12 | 0.31 | 0.334 | — | — | — | — | — | — | — | — | |
| DLinearHorizon (H)=96, Look-back length (L)=5122026.03 | 0.31 | 0.368 | — | — | — | — | — | — | — | — | |
| TIMEBASEPrediction Length (O)=962026.05 | 0.311 | 0.351 | — | — | — | — | — | — | — | — | |
| CVAformerForecasting Horizon=96, Input Sequence Length=962026.06 | 0.311 | 0.337 | — | — | — | — | — | — | — | — | |
| iTransformerPrediction length=962023.05 | 0.313 | 0.363 | — | — | — | — | — | — | — | — | |
| SparseTSFHorizon=96, w=42024.05 | 0.314 | — | — | — | — | — | — | — | — | — | |
| SPARSETSFPrediction Length (O)=962026.05 | 0.314 | 0.359 | — | — | — | — | — | — | — | — | |
| DPWMixerInput length (L)=96, Prediction horizon (T)=96, Model Year=Ours2025.11 | 0.316 | 0.346 | — | — | — | — | — | — | — | — | |
| TimeMixer + ReGuiderPredict length (T)=96, Historical input length (L)=96, ReGuider integration=true2026.03 | 0.316 | 0.351 | — | — | — | — | — | — | — | — | |
| TimeMachinePrediction Length (T)=96, Input sequence length (L)=962024.03 | 0.317 | 0.355 | — | — | — | — | — | — | — | — | |
| TimeXerInput length (L)=96, Prediction horizon (T)=96, Model Year=20242025.11 | 0.318 | 0.356 | — | — | — | — | — | — | — | — | |
| ChimeraPrediction Length=962026.03 | 0.318 | 0.354 | — | — | — | — | — | — | — | — | |
| CrossformerPrediction length=962023.05 | 0.319 | 0.355 | — | — | — | — | — | — | — | — | |
| F-LLMYear=20242026.02 | 0.319 | 0.367 | — | — | — | — | — | — | — | — | |
| DLinearH=962025.12 | 0.32 | 0.372 | — | — | — | — | — | — | — | — | |
| TimeMixerInput length (L)=96, Prediction horizon (T)=96, Model Year=20242025.11 | 0.32 | 0.357 | — | — | — | — | — | — | — | — | |
| TiDEHorizon (H)=96, Look-back length (L)=5122026.03 | 0.321 | 0.378 | — | — | — | — | — | — | — | — | |
| -KANH=962025.12 | 0.322 | 0.361 | — | — | — | — | — | — | — | — | |
| PatchTSTHorizon (H)=96, Look-back length (L)=5122026.03 | 0.322 | 0.374 | — | — | — | — | — | — | — | — | |
| UniTimeHorizon=962026.05 | 0.322 | 0.363 | — | — | — | — | — | — | — | — | |
| TimesNetPrediction length=962023.05 | 0.324 | 0.37 | — | — | — | — | — | — | — | — | |
| SimbaPrediction Length=962026.03 | 0.324 | 0.36 | — | — | — | — | — | — | — | — | |
| IdealTSFH=962025.12 | 0.325 | 0.379 | — | — | — | — | — | — | — | — | |
| Twins*H=962025.12 | 0.325 | 0.364 | — | — | — | — | — | — | — | — | |
| PhaseFormerHorizon=962026.05 | 0.325 | 0.362 | — | — | — | — | — | — | — | — | |
| TimeProPrediction Length=962026.03 | 0.326 | 0.364 | — | — | — | — | — | — | — | — | |
| Variable-Invariant Two-Dimensional State Space ModelPrediction Length=1922026.03 | 0.326 | 0.367 | — | — | — | — | — | — | — | — | |
| SCNNPrediction length=1922023.05 | 0.327 | 0.366 | — | — | — | — | — | — | — | — | |
| LVICLYear=20262026.02 | 0.328 | 0.378 | — | — | — | — | — | — | — | — | |
| TIME-LLMForecasting Horizons=96, 192, 336, 720 (averaged)2023.10 | 0.329 | 0.372 | — | — | — | — | — | — | — | — | |
| Time-LLMForecast lengths={96, 192, 336, 720}, Look-back window=5122024.11 | 0.329 | 0.372 | — | — | — | — | — | — | — | — | |
| SAM*H=962025.12 | 0.329 | 0.363 | — | — | — | — | — | — | — | — | |
| PatchTSTPrediction Length=962026.03 | 0.329 | 0.367 | — | — | — | — | — | — | — | — | |
| TIME-LLMParameters (M)=6.46, Memory (MiB)=39072026.03 | 0.33 | 0.37 | — | — | — | — | — | — | — | — | |
| ChimeraPrediction Length=1922026.03 | 0.331 | 0.369 | — | — | — | — | — | — | — | — | |
| TriTShyperparameter tuning=true2026.04 | 0.331 | 0.359 | — | — | — | — | — | — | — | — | |
| ReNFAveraged prediction lengths={96, 192, 336, 720}2025.09 | 0.331 | 0.364 | — | — | — | — | — | — | — | — | |
| AutoTimesYear=20242026.02 | 0.332 | 0.38 | — | — | — | — | — | — | — | — | |
| PatchTSTHorizon=1922024.05 | 0.333 | — | — | — | — | — | — | — | — | — | |
| DLinearHorizon (H)=192, Look-back length (L)=5122026.03 | 0.333 | 0.383 | — | — | — | — | — | — | — | — | |
| iTransformerPrediction Length (T)=96, Input sequence length (L)=962024.03 | 0.334 | 0.368 | — | — | — | — | — | — | — | — | |
| iTrans*H=962025.12 | 0.334 | 0.368 | — | — | — | — | — | — | — | — | |
| iTransformerInput length (L)=96, Prediction horizon (T)=96, Model Year=20242025.11 | 0.334 | 0.368 | — | — | — | — | — | — | — | — | |
| iTransformerPrediction Length=962026.03 | 0.334 | 0.368 | — | — | — | — | — | — | — | — | |
| iTransformerHorizon=962026.05 | 0.334 | 0.368 | — | — | — | — | — | — | — | — | |
| PaP-NFPrediction Horizon (H)=962026.05 | 0.334 | 0.365 | — | — | — | — | — | — | — | — | |
| DLinearHorizon=1922024.05 | 0.335 | — | — | — | — | — | — | — | — | — | |
| PatchTSTH=962025.12 | 0.336 | 0.371 | — | — | — | — | — | — | — | — | |
| DLinearPrediction length=1922023.05 | 0.337 | 0.364 | — | — | — | — | — | — | — | — | |
| TriformerPrediction length=1922023.05 | 0.338 | 0.373 | — | — | — | — | — | — | — | — | |
| TimesNetHorizon=962024.05 | 0.338 | — | — | — | — | — | — | — | — | — | |
| TimesNetInput length (L)=96, Prediction horizon (T)=96, Model Year=20232025.11 | 0.338 | 0.375 | — | — | — | — | — | — | — | — | |
| TimesNetPrediction Length=962026.03 | 0.338 | 0.375 | — | — | — | — | — | — | — | — | |
| DUETAveraged prediction lengths={96, 192, 336, 720}2025.09 | 0.338 | 0.369 | — | — | — | — | — | — | — | — | |
| TimesNetPrediction Horizon (H)=962026.05 | 0.338 | 0.375 | — | — | — | — | — | — | — | — | |
| FITSHorizon=1922024.05 | 0.339 | — | — | — | — | — | — | — | — | — | |
| FreTSHorizon=962026.05 | 0.339 | 0.374 | — | — | — | — | — | — | — | — | |
| SparseTSFHorizon=192, w=42024.05 | 0.343 | — | — | — | — | — | — | — | — | — | |
| PESD-TSFL=AVG2026.05 | 0.343 | 0.37 | — | — | — | — | — | — | — | — | |
| PESD-TSFPrediction Length (O)=AVG2026.05 | 0.343 | 0.37 | — | — | — | — | — | — | — | — | |
| PatchTSTHorizon=962026.05 | 0.344 | 0.373 | — | — | — | — | — | — | — | — | |
| TIMEBRIDGEL=AVG2026.05 | 0.344 | 0.379 | — | — | — | — | — | — | — | — | |
| TIMEBRIDGEPrediction Length (O)=AVG2026.05 | 0.344 | 0.379 | — | — | — | — | — | — | — | — | |
| DLinearPrediction Length=962026.03 | 0.345 | 0.372 | — | — | — | — | — | — | — | — | |
| Variable-Invariant Two-Dimensional State Space ModelPrediction Length=Avg2026.03 | 0.345 | 0.378 | — | — | — | — | — | — | — | — | |
| DLinearHorizon=962026.05 | 0.345 | 0.372 | — | — | — | — | — | — | — | — | |
| MP-FormerHorizon=962026.05 | 0.345 | 0.377 | — | — | — | — | — | — | — | — | |
| DLinearInput length (L)=96, Prediction horizon (T)=96, Model Year=20232025.11 | 0.346 | 0.374 | — | — | — | — | — | — | — | — | |
| FiCoTSMethod category=LLM-based, Input sequence length=512, Predictive lengths={96, 192, 336, 720}2025.11 | 0.346 | 0.373 | — | — | — | — | — | — | — | — |