Long-term Time Series Forecasting on ETTh2
0.079MSESCNN
Evaluation results
| Method | Links | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| SCNNPrediction length=32023.05 | 0.079 | 0.177 | — | — | — | — | — | — | — | |
| CrossformerPrediction length=32023.05 | 0.079 | 0.176 | — | — | — | — | — | — | — | |
| PatchTSTPrediction length=32023.05 | 0.081 | 0.178 | — | — | — | — | — | — | — | |
| iTransformerPrediction length=32023.05 | 0.088 | 0.193 | — | — | — | — | — | — | — | |
| TriformerPrediction length=32023.05 | 0.104 | 0.209 | — | — | — | — | — | — | — | |
| DLinearPrediction length=32023.05 | 0.109 | 0.213 | — | — | — | — | — | — | — | |
| TimesNetPrediction length=32023.05 | 0.119 | 0.232 | — | — | — | — | — | — | — | |
| SCNNPrediction length=242023.05 | 0.163 | 0.253 | — | — | — | — | — | — | — | |
| PatchTSTPrediction length=242023.05 | 0.176 | 0.264 | — | — | — | — | — | — | — | |
| DLinearPrediction length=242023.05 | 0.179 | 0.266 | — | — | — | — | — | — | — | |
| CrossformerPrediction length=242023.05 | 0.18 | 0.271 | — | — | — | — | — | — | — | |
| iTransformerPrediction length=242023.05 | 0.187 | 0.278 | — | — | — | — | — | — | — | |
| TriformerPrediction length=242023.05 | 0.193 | 0.279 | — | — | — | — | — | — | — | |
| AutoformerPrediction length=32023.05 | 0.203 | 0.31 | — | — | — | — | — | — | — | |
| TimesNetPrediction length=242023.05 | 0.21 | 0.301 | — | — | — | — | — | — | — | |
| Variable-Invariant Two-Dimensional State Space ModelPrediction Length=962026.03 | 0.257 | 0.329 | — | — | — | — | — | — | — | |
| PatchTSTHorizon (H)=96, Look-back length (L)=5122026.03 | 0.263 | 0.34 | — | — | — | — | — | — | — | |
| PatchDecompHorizon (H)=96, Look-back length (L)=5122026.03 | 0.264 | 0.339 | — | — | — | — | — | — | — | |
| IdealTSFH=962025.12 | 0.27 | 0.342 | — | — | — | — | — | — | — | |
| TimeMachinePrediction Length (T)=96, Input sequence length (L)=962024.03 | 0.275 | 0.334 | — | — | — | — | — | — | — | |
| TiDEHorizon (H)=96, Look-back length (L)=5122026.03 | 0.275 | 0.351 | — | — | — | — | — | — | — | |
| -Mixer++H=962025.12 | 0.276 | 0.328 | — | — | — | — | — | — | — | |
| FRWKV+Horizon=962026.05 | 0.278 | 0.327 | — | — | — | — | — | — | — | |
| CVAformerForecasting Horizon=96, Input Sequence Length=962026.06 | 0.281 | 0.331 | — | — | — | — | — | — | — | |
| DPWMixerInput length (L)=96, Prediction horizon (T)=96, Model Year=Ours2025.11 | 0.282 | 0.326 | — | — | — | — | — | — | — | |
| iTransformerInput length (L)=96, Prediction horizon (T)=96, Model Year=20242025.11 | 0.286 | 0.338 | — | — | — | — | — | — | — | |
| SCNNPrediction length=962023.05 | 0.289 | 0.34 | — | — | — | — | — | — | — | |
| DLinearPrediction length=962023.05 | 0.289 | 0.34 | — | — | — | — | — | — | — | |
| TimeMixerInput length (L)=96, Prediction horizon (T)=96, Model Year=20242025.11 | 0.289 | 0.342 | — | — | — | — | — | — | — | |
| iTransformer + ReGuiderPredict length (T)=96, Historical input length (L)=96, ReGuider integration=true2026.03 | 0.289 | 0.343 | — | — | — | — | — | — | — | |
| -KANH=962025.12 | 0.29 | 0.34 | — | — | — | — | — | — | — | |
| Twins*H=962025.12 | 0.292 | 0.345 | — | — | — | — | — | — | — | |
| PatchTSTPrediction length=962023.05 | 0.294 | 0.345 | — | — | — | — | — | — | — | |
| MP-FormerHorizon=962026.05 | 0.294 | 0.342 | — | — | — | — | — | — | — | |
| SAM*H=962025.12 | 0.295 | 0.358 | — | — | — | — | — | — | — | |
| UniTimeHorizon=962026.05 | 0.296 | 0.345 | — | — | — | — | — | — | — | |
| iTransformerPrediction Length=96, Evaluation Protocol=full-shot2023.10 | 0.297 | 0.349 | — | — | — | — | — | — | — | |
| iTransformerPrediction Length (T)=96, Input sequence length (L)=962024.03 | 0.297 | 0.349 | — | — | — | — | — | — | — | |
| iTrans*H=962025.12 | 0.297 | 0.349 | — | — | — | — | — | — | — | |
| iTransformerPredict length (T)=96, Historical input length (L)=96, ReGuider integration=false2026.03 | 0.297 | 0.349 | — | — | — | — | — | — | — | |
| iTransformerHorizon=962026.05 | 0.297 | 0.349 | — | — | — | — | — | — | — | |
| TEMPOHorizon=962023.10 | 0.301 | 0.353 | — | — | — | — | — | — | — | |
| TEMPOPrediction Length=96, Evaluation Protocol=zero-shot2023.10 | 0.301 | 0.351 | — | — | — | — | — | — | — | |
| PatchTSTPrediction Length=96, Evaluation Protocol=full-shot2023.10 | 0.302 | 0.348 | — | — | — | — | — | — | — | |
| PatchTSTH=962025.12 | 0.302 | 0.348 | — | — | — | — | — | — | — | |
| TriformerPrediction length=962023.05 | 0.305 | 0.351 | — | — | — | — | — | — | — | |
| iTransformerPrediction length=962023.05 | 0.306 | 0.356 | — | — | — | — | — | — | — | |
| PhaseFormerHorizon=962026.05 | 0.306 | 0.356 | — | — | — | — | — | — | — | |
| TimeXerInput length (L)=96, Prediction horizon (T)=96, Model Year=20242025.11 | 0.308 | 0.355 | — | — | — | — | — | — | — | |
| PatchTSTHorizon=962026.05 | 0.312 | 0.358 | — | — | — | — | — | — | — | |
| Variable-Invariant Two-Dimensional State Space ModelPrediction Length=Avg2026.03 | 0.313 | 0.372 | — | — | — | — | — | — | — | |
| FITSInput length (L)=96, Prediction horizon (T)=96, Model Year=20242025.11 | 0.314 | 0.359 | — | — | — | — | — | — | — | |
| TimesnetHorizon=962023.10 | 0.315 | 0.362 | — | — | — | — | — | — | — | |
| PatchDecompHorizon (H)=192, Look-back length (L)=5122026.03 | 0.316 | 0.374 | — | — | — | — | — | — | — | |
| Peri-midFormerForecast lengths={96, 192, 336, 720}, Look-back window=5122024.11 | 0.317 | 0.377 | — | — | — | — | — | — | — | |
| F-LLMYear=2024, Prediction Lengths=96, 192, 336, 720 (Avg)2026.02 | 0.317 | 0.367 | — | — | — | — | — | — | — | |
| AutoformerPrediction length=242023.05 | 0.318 | 0.393 | — | — | — | — | — | — | — | |
| xPatchLookback window (L)=96, Prediction lengths (T)={96, 192, 336, 720}2024.12 | 0.319 | 0.361 | — | — | — | — | — | — | — | |
| GPT2Horizon=962023.10 | 0.32 | 0.363 | — | — | — | — | — | — | — | |
| PATCHTSTL=AVG2026.05 | 0.324 | 0.381 | — | — | — | — | — | — | — | |
| PATCHTSTPrediction Length (O)=AVG2026.05 | 0.324 | 0.381 | — | — | — | — | — | — | — | |
| IdealTSFH=1922025.12 | 0.325 | 0.378 | — | — | — | — | — | — | — | |
| TiDEHorizon (H)=192, Look-back length (L)=5122026.03 | 0.325 | 0.384 | — | — | — | — | — | — | — | |
| LVICLYear=20262026.02 | 0.326 | 0.376 | — | — | — | — | — | — | — | |
| ReNFprediction lengths=4, random seeds=52025.09 | 0.327 | 0.38 | — | — | — | — | — | — | 99 | |
| ReNFAveraged prediction lengths={96, 192, 336, 720}2025.09 | 0.327 | 0.379 | — | — | — | — | — | — | — | |
| CrossformerPrediction length=962023.05 | 0.328 | 0.376 | — | — | — | — | — | — | — | |
| T5Horizon=962023.10 | 0.328 | 0.366 | — | — | — | — | — | — | — | |
| TSLANetForecast lengths={96, 192, 336, 720}, Look-back window=5122024.11 | 0.328 | 0.385 | — | — | — | — | — | — | — | |
| DEFORM**L=AVG2026.05 | 0.328 | 0.377 | — | — | — | — | — | — | — | |
| PatchTSTForecasting Horizons=96, 192, 336, 720 (averaged)2023.10 | 0.33 | 0.379 | — | — | — | — | — | — | — | |
| PatchTSTMethod category=Transformer-based, Input sequence length=512, Predictive lengths={96, 192, 336, 720}2025.11 | 0.33 | 0.379 | — | — | — | — | — | — | — | |
| PatchTSTYear=20232026.02 | 0.33 | 0.379 | — | — | — | — | — | — | — | |
| DLinearPrediction Length=96, Evaluation Protocol=full-shot2023.10 | 0.333 | 0.387 | — | — | — | — | — | — | — | |
| FITSForecast lengths={96, 192, 336, 720}, Look-back window=5122024.11 | 0.333 | 0.382 | — | — | — | — | — | — | — | |
| DLinearH=962025.12 | 0.333 | 0.387 | — | — | — | — | — | — | — | |
| TimeMixer++Year=20252026.02 | 0.333 | 0.371 | — | — | — | — | — | — | — | |
| DLinearHorizon=962026.05 | 0.333 | 0.387 | — | — | — | — | — | — | — | |
| TIME-LLMForecasting Horizons=96, 192, 336, 720 (averaged)2023.10 | 0.334 | 0.383 | — | — | — | — | — | — | — | |
| DLinearHorizon=962023.10 | 0.334 | 0.389 | — | — | — | — | — | — | — | |
| Time-LLMForecast lengths={96, 192, 336, 720}, Look-back window=5122024.11 | 0.334 | 0.383 | — | — | — | — | — | — | — | |
| FiCoTSMethod category=LLM-based, Input sequence length=512, Predictive lengths={96, 192, 336, 720}2025.11 | 0.335 | 0.385 | — | — | — | — | — | — | — | |
| AutoformerHorizon (H)=336, Look-back length (L)=5122026.03 | 0.336 | 0.404 | — | — | — | — | — | — | — | |
| DUETAveraged prediction lengths={96, 192, 336, 720}2025.09 | 0.336 | 0.385 | — | — | — | — | — | — | — | |
| PaP-NFPrediction Horizon (H)=962026.05 | 0.337 | 0.368 | — | — | — | — | — | — | — | |
| SimpleTMYear=20252026.02 | 0.338 | 0.374 | — | — | — | — | — | — | — | |
| PESD-TSFL=AVG2026.05 | 0.339 | 0.378 | — | — | — | — | — | — | — | |
| PESD-TSFPrediction Length (O)=AVG2026.05 | 0.339 | 0.378 | — | — | — | — | — | — | — | |
| TimesNetPrediction length=962023.05 | 0.34 | 0.379 | — | — | — | — | — | — | — | |
| TimesNetPrediction Length=96, Evaluation Protocol=full-shot2023.10 | 0.34 | 0.374 | — | — | — | — | — | — | — | |
| SAM*H=1922025.12 | 0.34 | 0.386 | — | — | — | — | — | — | — | |
| TimesNetInput length (L)=96, Prediction horizon (T)=96, Model Year=20232025.11 | 0.34 | 0.374 | — | — | — | — | — | — | — | |
| DLinearInput length (L)=96, Prediction horizon (T)=96, Model Year=20232025.11 | 0.34 | 0.394 | — | — | — | — | — | — | — | |
| TIME-LLMParameters (M)=6.46, Memory (MiB)=39072026.03 | 0.34 | 0.38 | — | — | — | — | — | — | — | |
| TESTParameters (M)=2.00, Memory (MiB)=7012026.03 | 0.34 | 0.38 | — | — | — | — | — | — | — | |
| ETSformerPrediction Horizon (H)=962026.05 | 0.34 | 0.391 | — | — | — | — | — | — | — | |
| TimesNetPrediction Horizon (H)=962026.05 | 0.34 | 0.374 | — | — | — | — | — | — | — | |
| MOIRAISmallInference Mode=Zero-shot, Averaged Prediction Lengths={96, 192, 336, 720}2024.02 | 0.341 | 0.379 | — | — | — | — | — | — | — | |
| TimeVLMMethod category=LLM-based, Input sequence length=512, Predictive lengths={96, 192, 336, 720}2025.11 | 0.341 | 0.391 | — | — | — | — | — | — | — | |
| PatchDecompHorizon (H)=336, Look-back length (L)=5122026.03 | 0.341 | 0.395 | — | — | — | — | — | — | — |