Multivariate long-term series forecasting on Traffic (test)
0.154MSEFiLM
Evaluation results
| Method | Links | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| FiLMPrediction Length (O)=962022.05 | 0.154 | 0.267 | — | — | — | — | — | — | — | — | — | — | — | — | |
| FiLMPrediction Length (O)=1922022.05 | 0.164 | 0.258 | — | — | — | — | — | — | — | — | — | — | — | — | |
| FEDformerPrediction Length (O)=962022.05 | 0.183 | 0.297 | — | — | — | — | — | — | — | — | — | — | — | — | |
| FiLMPrediction Length (O)=3362022.05 | 0.188 | 0.283 | — | — | — | — | — | — | — | — | — | — | — | — | |
| FEDformerPrediction Length (O)=1922022.05 | 0.195 | 0.308 | — | — | — | — | — | — | — | — | — | — | — | — | |
| AutoformerPrediction Length (O)=962022.05 | 0.201 | 0.317 | — | — | — | — | — | — | — | — | — | — | — | — | |
| FEDformerPrediction Length (O)=3362022.05 | 0.212 | 0.313 | — | — | — | — | — | — | — | — | — | — | — | — | |
| AutoformerPrediction Length (O)=1922022.05 | 0.222 | 0.334 | — | — | — | — | — | — | — | — | — | — | — | — | |
| KOSSPrediction length (T)=3362025.12 | 0.224 | 0.171 | — | — | — | — | — | — | — | — | — | — | — | — | |
| FEDformerPrediction Length (O)=7202022.05 | 0.231 | 0.343 | — | — | — | — | — | — | — | — | — | — | — | — | |
| AutoformerPrediction Length (O)=3362022.05 | 0.231 | 0.338 | — | — | — | — | — | — | — | — | — | — | — | — | |
| FiLMPrediction Length (O)=7202022.05 | 0.236 | 0.332 | — | — | — | — | — | — | — | — | — | — | — | — | |
| KOSSPrediction length (T)=1922025.12 | 0.25 | 0.21 | — | — | — | — | — | — | — | — | — | — | — | — | |
| AutoformerPrediction Length (O)=7202022.05 | 0.254 | 0.361 | — | — | — | — | — | — | — | — | — | — | — | — | |
| LogTransPrediction Length (O)=962022.05 | 0.258 | 0.357 | — | — | — | — | — | — | — | — | — | — | — | — | |
| S4Prediction Length (O)=7202022.05 | 0.262 | 0.344 | — | — | — | — | — | — | — | — | — | — | — | — | |
| KOSSPrediction length (T)=Avg2025.12 | 0.264 | 0.209 | — | — | — | — | — | — | — | — | — | — | — | — | |
| LogTransPrediction Length (O)=1922022.05 | 0.266 | 0.368 | — | — | — | — | — | — | — | — | — | — | — | — | |
| InformerPrediction Length (O)=962022.05 | 0.274 | 0.368 | — | — | — | — | — | — | — | — | — | — | — | — | |
| LogTransPrediction Length (O)=3362022.05 | 0.28 | 0.38 | — | — | — | — | — | — | — | — | — | — | — | — | |
| LogTransPrediction Length (O)=7202022.05 | 0.283 | 0.376 | — | — | — | — | — | — | — | — | — | — | — | — | |
| KOSSPrediction length (T)=962025.12 | 0.288 | 0.226 | — | — | — | — | — | — | — | — | — | — | — | — | |
| S4Prediction Length (O)=3362022.05 | 0.29 | 0.381 | — | — | — | — | — | — | — | — | — | — | — | — | |
| KOSSPrediction length (T)=7202025.12 | 0.292 | 0.23 | — | — | — | — | — | — | — | — | — | — | — | — | |
| InformerPrediction Length (O)=1922022.05 | 0.296 | 0.386 | — | — | — | — | — | — | — | — | — | — | — | — | |
| InformerPrediction Length (O)=3362022.05 | 0.3 | 0.394 | — | — | — | — | — | — | — | — | — | — | — | — | |
| S4Prediction Length (O)=962022.05 | 0.304 | 0.405 | — | — | — | — | — | — | — | — | — | — | — | — | |
| ReformerPrediction Length (O)=962022.05 | 0.312 | 0.402 | — | — | — | — | — | — | — | — | — | — | — | — | |
| S4Prediction Length (O)=1922022.05 | 0.313 | 0.413 | — | — | — | — | — | — | — | — | — | — | — | — | |
| ReformerPrediction Length (O)=7202022.05 | 0.34 | 0.42 | — | — | — | — | — | — | — | — | — | — | — | — | |
| ReformerPrediction Length (O)=1922022.05 | 0.348 | 0.433 | — | — | — | — | — | — | — | — | — | — | — | — | |
| ReformerPrediction Length (O)=3362022.05 | 0.35 | 0.433 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTEvaluation Protocol=Fine-tuning, Prediction Length=962022.11 | 0.352 | 0.244 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTTraining Mode=Fine-tuning, Prediction Horizon=962022.11 | 0.352 | 0.244 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PENGUINPrediction horizon (H)=96, Look-back length (L)=3362025.08 | 0.357 | 0.247 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchMixerPrediction length (T)=96, Look-back window (L)=3362023.10 | 0.363 | 0.245 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTEvaluation Protocol=Supervised, Prediction Length=962022.11 | 0.367 | 0.251 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTTraining Mode=Sup., Prediction Horizon=962022.11 | 0.367 | 0.251 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTPrediction length (T)=96, Look-back window (L)=3362023.10 | 0.367 | 0.251 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTEvaluation Protocol=Fine-tuning, Prediction Length=1922022.11 | 0.371 | 0.253 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTTraining Mode=Fine-tuning, Prediction Horizon=1922022.11 | 0.371 | 0.253 | — | — | — | — | — | — | — | — | — | — | — | — | |
| InformerPrediction Length (O)=7202022.05 | 0.373 | 0.439 | — | — | — | — | — | — | — | — | — | — | — | — | |
| Bi-Mamba+Prediction Length=962024.04 | 0.375 | 0.258 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTEvaluation Protocol=Fine-tuning, Prediction Length=3362022.11 | 0.381 | 0.257 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTTraining Mode=Fine-tuning, Prediction Horizon=3362022.11 | 0.381 | 0.257 | — | — | — | — | — | — | — | — | — | — | — | — | |
| SparseTSFHorizon=962024.05 | 0.382 | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| S-MambaPrediction length (T)=962025.12 | 0.382 | 0.261 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTEvaluation Protocol=Supervised, Prediction Length=1922022.11 | 0.385 | 0.259 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTTraining Mode=Sup., Prediction Horizon=1922022.11 | 0.385 | 0.259 | — | — | — | — | — | — | — | — | — | — | — | — | |
| SparseTSFHorizon=1922024.05 | 0.388 | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| Bi-Mamba+Prediction Length=1922024.04 | 0.394 | 0.269 | — | — | — | — | — | — | — | — | — | — | — | — | |
| iTransformerHorizon=962025.09 | 0.394 | 0.269 | — | — | — | — | — | — | — | — | 0.303 | 84.9 | — | — | |
| iTransformerHorizon (H)=96, SAM Training=false, Publication Year=20242024.02 | 0.395 | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| iTransformerPrediction length (T)=962025.12 | 0.395 | 0.268 | — | — | — | — | — | — | — | — | — | — | — | — | |
| S-MambaPrediction length (T)=1922025.12 | 0.396 | 0.267 | — | — | — | — | — | — | — | — | — | — | — | — | |
| KoopaForecast Length (H)=144, Lookback Length (T)=2882023.05 | 0.397 | 0.276 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTEvaluation Protocol=Supervised, Prediction Length=3362022.11 | 0.398 | 0.265 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTTraining Mode=Sup., Prediction Horizon=3362022.11 | 0.398 | 0.265 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTEvaluation Protocol=Lin. Prob., Prediction Length=962022.11 | 0.399 | 0.294 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTTraining Mode=Lin. Prob., Prediction Horizon=962022.11 | 0.399 | 0.294 | — | — | — | — | — | — | — | — | — | — | — | — | |
| KoopaForecast Length (H)=96, Lookback Length (T)=1922023.05 | 0.401 | 0.275 | — | — | — | — | — | — | — | — | — | — | — | — | |
| N-HiTSHorizon=962024.05 | 0.402 | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| SparseTSFHorizon=3362024.05 | 0.402 | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| KoopaForecast Length (H)=192, Lookback Length (T)=3842023.05 | 0.403 | 0.284 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTForecast Length (H)=192, Lookback Length (T)=3842023.05 | 0.404 | 0.277 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTForecast Length (H)=144, Lookback Length (T)=2882023.05 | 0.405 | 0.278 | — | — | — | — | — | — | — | — | — | — | — | — | |
| Bi-Mamba+Prediction Length=3362024.04 | 0.406 | 0.274 | — | — | — | — | — | — | — | — | — | — | — | — | |
| SAMformerHorizon (H)=96, SAM Training=true, Publication Year=20232024.02 | 0.407 | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| TSMixerHorizon (H)=96, SAM Training=true, Publication Year=20232024.02 | 0.409 | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| TSMixerHorizon (H)=96, SAM Training=false, Publication Year=20232024.02 | 0.409 | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| DLinearPrediction Length=962022.11 | 0.41 | 0.282 | — | — | — | — | — | — | — | — | — | — | — | — | |
| DLinearPrediction Horizon=962022.11 | 0.41 | 0.282 | — | — | — | — | — | — | — | — | — | — | — | — | |
| DLinearPrediction length (T)=96, Look-back window (L)=best in {24, 48, 96, 192, 336}2023.10 | 0.41 | 0.282 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTEvaluation Protocol=Lin. Prob., Prediction Length=1922022.11 | 0.412 | 0.298 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTTraining Mode=Lin. Prob., Prediction Horizon=1922022.11 | 0.412 | 0.298 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTForecast Length (H)=96, Lookback Length (T)=1922023.05 | 0.413 | 0.283 | — | — | — | — | — | — | — | — | — | — | — | — | |
| S-MambaPrediction length (T)=Avg2025.12 | 0.414 | 0.276 | — | — | — | — | — | — | — | — | — | — | — | — | |
| KoopaForecast Length (H)=48, Lookback Length (T)=962023.05 | 0.415 | 0.274 | — | — | — | — | — | — | — | — | — | — | — | — | |
| SAMformerHorizon (H)=192, SAM Training=true, Publication Year=20232024.02 | 0.415 | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| FiLMPrediction length (T)=962025.12 | 0.416 | 0.294 | — | — | — | — | — | — | — | — | — | — | — | — | |
| iTransformerHorizon (H)=192, SAM Training=false, Publication Year=20242024.02 | 0.417 | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| S-MambaPrediction length (T)=3362025.12 | 0.417 | 0.276 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TransformerHorizon (H)=96, SAM Training=false2024.02 | 0.42 | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| N-HiTSHorizon=1922024.05 | 0.42 | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| SAMformerHorizon (H)=336, SAM Training=true, Publication Year=20232024.02 | 0.421 | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| PRformerInput length (L)=720, Prediction length (H)=7202024.08 | 0.421 | 0.258 | — | — | — | — | — | — | — | — | — | — | — | — | |
| CATSForecast Horizon=96, Input Length=962024.05 | 0.421 | 0.27 | — | — | — | — | — | — | — | — | — | — | — | — | |
| CATSHorizon=96, Input Sequence Length=962024.05 | 0.421 | 0.27 | — | — | — | — | — | — | — | — | — | — | — | — | |
| DLinearPrediction Length=1922022.11 | 0.423 | 0.287 | — | — | — | — | — | — | — | — | — | — | — | — | |
| DLinearPrediction Horizon=1922022.11 | 0.423 | 0.287 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TSMixerHorizon (H)=336, SAM Training=true, Publication Year=20232024.02 | 0.424 | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTEvaluation Protocol=Lin. Prob., Prediction Length=3362022.11 | 0.425 | 0.306 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTEvaluation Protocol=Fine-tuning, Prediction Length=7202022.11 | 0.425 | 0.282 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTTraining Mode=Lin. Prob., Prediction Horizon=3362022.11 | 0.425 | 0.306 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTTraining Mode=Fine-tuning, Prediction Horizon=7202022.11 | 0.425 | 0.282 | — | — | — | — | — | — | — | — | — | — | — | — | |
| FiLMForecast Length (H)=192, Lookback Length (T)=3842023.05 | 0.425 | 0.288 | — | — | — | — | — | — | — | — | — | — | — | — | |
| PatchTSTForecast Length (H)=48, Lookback Length (T)=962023.05 | 0.426 | 0.286 | — | — | — | — | — | — | — | — | — | — | — | — | |
| FiLMForecast Length (H)=144, Lookback Length (T)=2882023.05 | 0.43 | 0.288 | — | — | — | — | — | — | — | — | — | — | — | — | |
| TSMixerHorizon (H)=192, SAM Training=true, Publication Year=20232024.02 | 0.433 | — | — | — | — | — | — | — | — | — | — | — | — | — | |
| iTransformerHorizon (H)=336, SAM Training=false, Publication Year=20242024.02 | 0.433 | — | — | — | — | — | — | — | — | — | — | — | — | — |