Long-term Time Series Forecasting on ETTh1
0.241MAECrossformer
Evaluation results
| Method | Links | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| CrossformerPrediction length=32023.05 | 0.241 | 0.142 | — | — | — | — | — | — | — | — | — | — | — | — | |
| SCNNPrediction length=32023.05 | 0.242 | 0.146 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTPrediction length=32023.05 | 0.248 | 0.148 | — | — | — | — | — | — | — | — | — | — | — | — | |
| iTransformerPrediction length=32023.05 | 0.262 | 0.165 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TriformerPrediction length=32023.05 | 0.298 | 0.203 | — | — | — | — | — | — | — | — | — | — | — | — | |
| DLinearPrediction length=32023.05 | 0.31 | 0.224 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimesNetPrediction length=32023.05 | 0.337 | 0.272 | — | — | — | — | — | — | — | — | — | — | — | — | |
| SCNNPrediction length=242023.05 | 0.353 | 0.304 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTPrediction length=242023.05 | 0.355 | 0.299 | — | — | — | — | — | — | — | — | — | — | — | — | |
| CrossformerPrediction length=242023.05 | 0.366 | 0.318 | — | — | — | — | — | — | — | — | — | — | — | — | |
| iTransformerPrediction length=242023.05 | 0.367 | 0.32 | — | — | — | — | — | — | — | — | — | — | — | — | |
| DLinearPrediction length=242023.05 | 0.372 | 0.329 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TriformerPrediction length=242023.05 | 0.38 | 0.332 | — | — | — | — | — | — | — | — | — | — | — | — | |
| AutoformerPrediction length=32023.05 | 0.382 | 0.299 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTST + ReGuiderPredict length (T)=96, Historical input length (L)=96, ReGuider integration=true2026.03 | 0.384 | 0.382 | — | — | — | — | — | — | — | — | — | — | — | — | |
| IdealTSFH=962025.12 | 0.386 | 0.356 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimeMachinePrediction Length (T)=96, Input sequence length (L)=962024.03 | 0.387 | 0.364 | — | — | — | — | — | — | — | — | — | — | — | — | |
| SparseTSFLookback length=720, Prediction horizon=962024.09 | 0.388 | 0.362 | — | — | — | — | — | — | — | — | — | — | — | — | |
| FRWKV+Horizon=962026.05 | 0.388 | 0.371 | — | — | — | — | — | — | — | — | — | — | — | — | |
| CVAformerForecasting Horizon=96, Input Sequence Length=962026.06 | 0.388 | 0.368 | — | — | — | — | — | — | — | — | — | — | — | — | |
| DLinear + ReGuiderPredict length (T)=96, Historical input length (L)=96, ReGuider integration=true2026.03 | 0.39 | 0.368 | — | — | — | — | — | — | — | — | — | — | — | — | |
| DPWMixerInput length (L)=96, Prediction horizon (T)=96, Model Year=Ours2025.11 | 0.391 | 0.373 | — | — | — | — | — | — | — | — | — | — | — | — | |
| SegRNNLookback length=720, Prediction horizon=962024.09 | 0.392 | 0.351 | — | — | — | — | — | — | — | — | — | — | — | — | |
| KANMixerLook-back window (L)=96, Prediction length (P)=96, Model Year=Ours2025.08 | 0.392 | 0.367 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimesNetPrediction length=242023.05 | 0.393 | 0.352 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimeMixer + ReGuiderPredict length (T)=96, Historical input length (L)=96, ReGuider integration=true2026.03 | 0.393 | 0.366 | — | — | — | — | — | — | — | — | — | — | — | — | |
| CALFForecasting Horizon=96, Input Sequence Length=962026.06 | 0.393 | 0.376 | — | — | — | — | — | — | — | — | — | — | — | — | |
| Variable-Invariant Two-Dimensional State Space ModelPrediction Length=962026.03 | 0.394 | 0.365 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PhaseFormerHorizon=962026.05 | 0.394 | 0.379 | — | — | — | — | — | — | — | — | — | — | — | — | |
| -KANH=962025.12 | 0.395 | 0.367 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTH=962025.12 | 0.395 | 0.386 | — | — | — | — | — | — | — | — | — | — | — | — | |
| DMSCPrediction Length=96, Look-back Length=962025.08 | 0.395 | 0.37 | — | — | — | — | — | — | — | — | — | — | — | — | |
| CycleNet/LinearLookback length=336, Prediction horizon=962024.09 | 0.396 | 0.374 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimeKANLook-back window (L)=96, Prediction length (P)=96, Model Year=20252025.08 | 0.396 | 0.384 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTForecasting Horizon=96, Input Sequence Length=962026.06 | 0.396 | 0.377 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimeMixerPrediction Horizon (T)=962025.12 | 0.397 | 0.375 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PaP-NFPrediction Horizon (H)=962026.05 | 0.397 | 0.366 | — | — | — | — | — | — | — | — | — | — | — | — | |
| GPT4TSForecasting Horizon=96, Input Sequence Length=962026.06 | 0.397 | 0.376 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimeMixerPrediction Length=96, Look-back Length=962025.08 | 0.397 | 0.379 | — | — | — | — | — | — | — | — | — | — | — | — | |
| SCNNPrediction length=962023.05 | 0.398 | 0.379 | — | — | — | — | — | — | — | — | — | — | — | — | |
| DLinearLookback length=336, Prediction horizon=962024.09 | 0.398 | 0.374 | — | — | — | — | — | — | — | — | — | — | — | — | |
| iTransformer + ReGuiderPredict length (T)=96, Historical input length (L)=96, ReGuider integration=true2026.03 | 0.398 | 0.377 | — | — | — | — | — | — | — | — | — | — | — | — | |
| DecoKANPrediction Horizon (T)=962025.12 | 0.399 | 0.37 | — | — | — | — | — | — | — | — | — | — | — | — | |
| WPMixerPrediction Horizon (T)=962025.12 | 0.399 | 0.371 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimeFilterPrediction Horizon (T)=962025.12 | 0.399 | 0.389 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTPrediction Length=96, Look-back Length=962025.08 | 0.399 | 0.378 | — | — | — | — | — | — | — | — | — | — | — | — | |
| DLinearPrediction Length=96, Evaluation Protocol=full-shot2023.10 | 0.4 | 0.386 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTPrediction Horizon (T)=962025.12 | 0.4 | 0.382 | — | — | — | — | — | — | — | — | — | — | — | — | |
| DLinearH=962025.12 | 0.4 | 0.386 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimeMixerInput length (L)=96, Prediction horizon (T)=96, Model Year=20242025.11 | 0.4 | 0.375 | — | — | — | — | — | — | — | — | — | — | — | — | |
| DLinearPredict length (T)=96, Historical input length (L)=96, ReGuider integration=false2026.03 | 0.4 | 0.386 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimeMixerPredict length (T)=96, Historical input length (L)=96, ReGuider integration=false2026.03 | 0.4 | 0.375 | — | — | — | — | — | — | — | — | — | — | — | — | |
| Time-FFMLook-back window (L)=96, Prediction length (P)=96, Model Year=20242025.08 | 0.4 | 0.385 | — | — | — | — | — | — | — | — | — | — | — | — | |
| DLinearHorizon=962026.05 | 0.4 | 0.386 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTPrediction length=962023.05 | 0.401 | 0.376 | — | — | — | — | — | — | — | — | — | — | — | — | |
| Twins*H=962025.12 | 0.401 | 0.385 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimeKANPrediction Length=96, Look-back Length=962025.08 | 0.401 | 0.387 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimesNetPrediction Length=96, Evaluation Protocol=full-shot2023.10 | 0.402 | 0.384 | — | — | — | — | — | — | — | — | — | — | — | — | |
| SAM*H=962025.12 | 0.402 | 0.381 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimesNetInput length (L)=96, Prediction horizon (T)=96, Model Year=20232025.11 | 0.402 | 0.384 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimeMixerLook-back window (L)=96, Prediction length (P)=96, Model Year=20242025.08 | 0.402 | 0.385 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimesNetLook-back window (L)=96, Prediction length (P)=96, Model Year=20232025.08 | 0.402 | 0.384 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimesNetPrediction Horizon (H)=962026.05 | 0.402 | 0.384 | — | — | — | — | — | — | — | — | — | — | — | — | |
| DLinearForecasting Horizon=96, Input Sequence Length=962026.06 | 0.402 | 0.386 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimesNetForecasting Horizon=96, Input Sequence Length=962026.06 | 0.402 | 0.384 | — | — | — | — | — | — | — | — | — | — | — | — | |
| CycleNet/MLPLookback length=336, Prediction horizon=962024.09 | 0.403 | 0.382 | — | — | — | — | — | — | — | — | — | — | — | — | |
| CycleNet/LinearLookback length=720, Prediction horizon=962024.09 | 0.403 | 0.379 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimeXerPrediction Horizon (T)=962025.12 | 0.403 | 0.383 | — | — | — | — | — | — | — | — | — | — | — | — | |
| -Mixer++H=962025.12 | 0.403 | 0.361 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimeXerInput length (L)=96, Prediction horizon (T)=96, Model Year=20242025.11 | 0.403 | 0.382 | — | — | — | — | — | — | — | — | — | — | — | — | |
| DLinearPrediction length=962023.05 | 0.404 | 0.388 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimeXerPrediction Length=96, Look-back Length=962025.08 | 0.404 | 0.386 | — | — | — | — | — | — | — | — | — | — | — | — | |
| AMDPrediction Length=96, Look-back Length=962025.08 | 0.404 | 0.394 | — | — | — | — | — | — | — | — | — | — | — | — | |
| CrossformerPrediction length=962023.05 | 0.405 | 0.381 | — | — | — | — | — | — | — | — | — | — | — | — | |
| iTransformerPrediction Length=96, Evaluation Protocol=full-shot2023.10 | 0.405 | 0.386 | — | — | — | — | — | — | — | — | — | — | — | — | |
| iTransformerPrediction Length (T)=96, Input sequence length (L)=962024.03 | 0.405 | 0.386 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTLookback length=336, Prediction horizon=962024.09 | 0.405 | 0.385 | — | — | — | — | — | — | — | — | — | — | — | — | |
| iTrans*H=962025.12 | 0.405 | 0.386 | — | — | — | — | — | — | — | — | — | — | — | — | |
| iTransformerInput length (L)=96, Prediction horizon (T)=96, Model Year=20242025.11 | 0.405 | 0.386 | — | — | — | — | — | — | — | — | — | — | — | — | |
| F-LLMYear=2024, Prediction Lengths=96, 192, 336, 720 (Avg), Look-back window=Best from {96, 336, 512, 672}2026.02 | 0.405 | 0.376 | — | — | — | — | — | — | — | — | — | — | — | — | |
| iTransformerPredict length (T)=96, Historical input length (L)=96, ReGuider integration=false2026.03 | 0.405 | 0.386 | — | — | — | — | — | — | — | — | — | — | — | — | |
| iTransformerLook-back window (L)=96, Prediction length (P)=96, Model Year=20242025.08 | 0.405 | 0.386 | — | — | — | — | — | — | — | — | — | — | — | — | |
| iTransformerHorizon=962026.05 | 0.405 | 0.386 | — | — | — | — | — | — | — | — | — | — | — | — | |
| iTransformerPrediction Length=96, Look-back Length=962025.08 | 0.405 | 0.387 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchMLPPrediction Length=96, Look-back Length=962025.08 | 0.405 | 0.393 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TEMPOHorizon=962023.10 | 0.406 | 0.4 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TEMPOPrediction Length=96, Evaluation Protocol=zero-shot2023.10 | 0.406 | 0.4 | — | — | — | — | — | — | — | — | — | — | — | — | |
| iTransformerPrediction length=962023.05 | 0.407 | 0.388 | — | — | — | — | — | — | — | — | — | — | — | — | |
| FreTSLook-back window (L)=96, Prediction length (P)=96, Model Year=20242025.08 | 0.407 | 0.395 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TiDEHorizon (H)=96, Look-back length (L)=5122026.03 | 0.408 | 0.356 | — | — | — | — | — | — | — | — | — | — | — | — | |
| FreTSHorizon=962026.05 | 0.408 | 0.396 | — | — | — | — | — | — | — | — | — | — | — | — | |
| T5Horizon=962023.10 | 0.409 | 0.4 | — | — | — | — | — | — | — | — | — | — | — | — | |
| iTransformerForecasting Horizon=96, Input Sequence Length=962026.06 | 0.409 | 0.394 | — | — | — | — | — | — | — | — | — | — | — | — | |
| IdealTSFH=1922025.12 | 0.41 | 0.393 | — | — | — | — | — | — | — | — | — | — | — | — | |
| SimpleTMYear=2025, Prediction Lengths=96, 192, 336, 720 (Avg), Look-back window=Best from {96, 336, 512, 672}2026.02 | 0.41 | 0.403 | — | — | — | — | — | — | — | — | — | — | — | — | |
| MP-FormerHorizon=962026.05 | 0.41 | 0.391 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TimeLLMForecasting Horizon=96, Input Sequence Length=962026.06 | 0.41 | 0.398 | — | — | — | — | — | — | — | — | — | — | — | — | |
| SparseTSFLookback length=720, Prediction horizon=1922024.09 | 0.411 | 0.403 | — | — | — | — | — | — | — | — | — | — | — | — | |
| DLinearPrediction Horizon (T)=962025.12 | 0.411 | 0.396 | — | — | — | — | — | — | — | — | — | — | — | — | |
| DLinearInput length (L)=96, Prediction horizon (T)=192, Model Year=20232025.11 | 0.411 | 0.441 | — | — | — | — | — | — | — | — | — | — | — | — |