Multivariate long-term forecasting on Traffic
0.336MSETiDE
Evaluation results
| Method | Links | ||||||
|---|---|---|---|---|---|---|---|
| TiDET=962023.04 | 0.336 | 0.253 | — | — | — | — | |
| TiDET=1922023.04 | 0.346 | 0.257 | — | — | — | — | |
| TimesNet + FANPrediction Length=962024.09 | 0.349 | 0.306 | — | — | — | — | |
| TiDET=3362023.04 | 0.355 | 0.26 | — | — | — | — | |
| D-PADPrediction Length (H)=96, Input Length (T)=3362024.03 | 0.359 | 0.236 | — | — | — | — | |
| PatchTST/64Prediction length (T)=962022.11 | 0.36 | 0.249 | — | — | — | — | |
| PatchTST/64T=962023.04 | 0.36 | 0.249 | — | — | — | — | |
| PatchTSTPrediction Horizon (H)=962026.04 | 0.36 | 0.249 | — | — | — | — | |
| TimeMixerPrediction Length=962026.01 | 0.366 | 0.259 | — | — | — | — | |
| PatchTSTEvaluation Protocol=Supervised, Prediction Length=962022.11 | 0.367 | 0.251 | — | — | — | — | |
| PatchTST/42Prediction length (T)=962022.11 | 0.367 | 0.251 | — | — | — | — | |
| TimesNet + FANPrediction Length=1682024.09 | 0.375 | 0.315 | — | — | — | — | |
| D-PADPrediction Length (H)=192, Input Length (T)=3362024.03 | 0.377 | 0.245 | — | — | — | — | |
| DualformerPrediction Length=962026.01 | 0.377 | 0.256 | — | — | — | — | |
| PatchTST/64Prediction length (T)=1922022.11 | 0.379 | 0.256 | — | — | — | — | |
| PatchTST/64T=1922023.04 | 0.379 | 0.256 | — | — | — | — | |
| DecompKANPrediction Horizon (H)=962026.04 | 0.379 | 0.268 | — | — | — | — | |
| PatchTSTPrediction Horizon (H)=1922026.04 | 0.379 | 0.256 | — | — | — | — | |
| PatchTSTPrediction Length=1922026.01 | 0.38 | 0.259 | — | — | — | — | |
| TimeMixerPrediction Length=1922026.01 | 0.381 | 0.265 | — | — | — | — | |
| PatchTST*Prediction Horizon=Average2024.01 | 0.382 | 0.259 | — | — | — | — | |
| TimesNet + FANPrediction Length=3362024.09 | 0.383 | 0.322 | — | — | — | — | |
| PatchTSTPrediction Length=962026.01 | 0.383 | 0.272 | — | — | — | — | |
| HiMTM2024.01 | 0.384 | 0.254 | — | — | — | — | |
| HiMTMPrediction Horizon=Average2024.01 | 0.384 | 0.254 | — | — | — | — | |
| PatchTST/42Prediction length (T)=1922022.11 | 0.385 | 0.259 | — | — | — | — | |
| TiDET=7202023.04 | 0.386 | 0.273 | — | — | — | — | |
| S-MambaPrediction Length (H)=Avg, Input Length (L)=Averaged over {96, 384, 768}2025.12 | 0.387 | 0.27 | — | — | — | — | |
| PatchTSTEvaluation Protocol=Fine-tuning, Prediction Length=962022.11 | 0.388 | 0.273 | — | — | — | — | |
| D-PADPrediction Length (H)=336, Input Length (T)=3362024.03 | 0.391 | 0.253 | — | — | — | — | |
| PatchTSTPrediction Horizon (H)=Avg2026.04 | 0.391 | 0.264 | — | — | — | — | |
| PatchTST/64Prediction length (T)=3362022.11 | 0.392 | 0.264 | — | — | — | — | |
| PatchTST/64T=3362023.04 | 0.392 | 0.264 | — | — | — | — | |
| SimMTMPrediction Horizon=Average2024.01 | 0.392 | 0.264 | — | — | — | — | |
| DualformerPrediction Length=1922026.01 | 0.392 | 0.263 | — | — | — | — | |
| AffirmPrediction length=Avg2025.12 | 0.392 | 0.268 | — | — | — | — | |
| PatchTSTPrediction Horizon (H)=3362026.04 | 0.392 | 0.264 | — | — | — | — | |
| FusADPrediction length=Avg2025.12 | 0.393 | 0.268 | — | — | — | — | |
| AMDPrediction length=Avg2025.12 | 0.393 | 0.271 | — | — | — | — | |
| iTransformerPrediction Length=962026.01 | 0.395 | 0.268 | — | — | — | — | |
| iTransformerPrediction Horizon (H)=962026.04 | 0.395 | 0.268 | — | — | — | — | |
| PatchTST2024.01 | 0.396 | 0.265 | — | — | — | — | |
| TimeMixerPrediction Length=3362026.01 | 0.397 | 0.269 | — | — | — | — | |
| PatchTST/42Prediction length (T)=3362022.11 | 0.398 | 0.265 | — | — | — | — | |
| PatchTSTEvaluation Protocol=Linear Probing, Prediction Length=962022.11 | 0.4 | 0.288 | — | — | — | — | |
| ATFNetforecast_horizon=Average of {96, 192, 336, 720}2024.04 | 0.403 | 0.279 | — | — | — | — | |
| DecompKANPrediction Horizon (H)=1922026.04 | 0.403 | 0.278 | — | — | — | — | |
| DualformerPrediction Length=3362026.01 | 0.406 | 0.266 | — | — | — | — | |
| N-HITSPrediction Length (H)=96, Input Length (T)=3362024.03 | 0.407 | 0.29 | — | — | — | — | |
| TimePerceiverPrediction Length (H)=Avg, Input Length (L)=Averaged over {96, 384, 768}2025.12 | 0.407 | 0.273 | — | — | — | — | |
| DLinearPrediction Length=962022.11 | 0.41 | 0.282 | — | — | — | — | |
| DLinearPrediction Length (H)=96, Input Length (T)=3362024.03 | 0.41 | 0.282 | — | — | — | — | |
| PatchTSTPrediction Length=3362026.01 | 0.41 | 0.285 | — | — | — | — | |
| DecompKANPrediction Horizon (H)=Avg2026.04 | 0.41 | 0.282 | — | — | — | — | |
| DLinearPrediction Horizon (H)=962026.04 | 0.41 | 0.282 | — | — | — | — | |
| CATSPrediction Length (H)=Avg, Input Length (L)=Averaged over {96, 384, 768}2025.12 | 0.411 | 0.272 | — | — | — | — | |
| D-PADPrediction Length (H)=720, Input Length (T)=3362024.03 | 0.413 | 0.272 | — | — | — | — | |
| GPT4TSPrediction length=Avg2025.12 | 0.414 | 0.295 | — | — | — | — | |
| DecompKANPrediction Horizon (H)=3362026.04 | 0.415 | 0.284 | — | — | — | — | |
| TimesNet + FANPrediction Length=7202024.09 | 0.416 | 0.344 | — | — | — | — | |
| iTransformerPrediction Length=1922026.01 | 0.417 | 0.276 | — | — | — | — | |
| iTransformerPrediction Horizon (H)=1922026.04 | 0.417 | 0.276 | — | — | — | — | |
| TimesNetPrediction Length=962024.09 | 0.418 | 0.35 | — | — | — | — | |
| iTransformerforecast_horizon=Average of {96, 192, 336, 720}2024.04 | 0.42 | 0.296 | — | — | — | — | |
| KoopaPrediction Length=962024.09 | 0.42 | 0.352 | — | — | — | — | |
| PatchTSTPrediction length=Avg2025.12 | 0.42 | 0.277 | — | — | — | — | |
| DLinearPrediction Length (H)=192, Input Length (T)=3362024.03 | 0.423 | 0.287 | — | — | — | — | |
| N-HITSPrediction Length (H)=192, Input Length (T)=3362024.03 | 0.423 | 0.302 | — | — | — | — | |
| PatchTSTforecast_horizon=Average of {96, 192, 336, 720}2024.04 | 0.423 | 0.295 | — | — | — | — | |
| DLinearPrediction Horizon (H)=1922026.04 | 0.423 | 0.287 | — | — | — | — | |
| Koopa + FANPrediction Length=962024.09 | 0.428 | 0.351 | — | — | — | — | |
| iTransformerLook-back length=96, Forecast horizons=avg(96, 192, 336, 720)2024.09 | 0.428 | 0.282 | — | — | — | — | |
| iTransformerInput sequence length T=962024.03 | 0.428 | 0.282 | — | — | — | — | |
| iTransformerPrediction length=Avg2025.12 | 0.428 | 0.282 | — | — | — | — | |
| CATSLook-back length (L)=96, Prediction horizons (H)={96, 192, 336, 720}2025.08 | 0.428 | 0.282 | — | — | — | — | |
| iTransformerLook-back length (L)=96, Prediction horizons (H)={96, 192, 336, 720}2025.08 | 0.428 | 0.282 | — | — | — | — | |
| iTransformerPrediction Horizon (H)=Avg2026.04 | 0.428 | 0.282 | — | — | — | — | |
| TimeMixerPrediction Length=7202026.01 | 0.429 | 0.292 | — | — | — | — | |
| PatchTST/64Prediction length (T)=7202022.11 | 0.432 | 0.286 | — | — | — | — | |
| PatchTST/64T=7202023.04 | 0.432 | 0.286 | — | — | — | — | |
| PatchTSTPrediction Horizon (H)=7202026.04 | 0.432 | 0.286 | — | — | — | — | |
| DLinear2024.01 | 0.433 | 0.295 | — | — | — | — | |
| iTransformerPrediction Length=3362026.01 | 0.433 | 0.283 | — | — | — | — | |
| iTransformerPrediction Horizon (H)=3362026.04 | 0.433 | 0.283 | — | — | — | — | |
| PatchTST/42Prediction length (T)=7202022.11 | 0.434 | 0.287 | — | — | — | — | |
| TimesNetPrediction Length=1682024.09 | 0.434 | 0.353 | — | — | — | — | |
| DlinearPrediction length=Avg2025.12 | 0.434 | 0.295 | — | — | — | — | |
| DLinearPrediction Horizon (H)=Avg2026.04 | 0.434 | 0.295 | — | — | — | — | |
| DLinearPrediction Length (H)=336, Input Length (T)=3362024.03 | 0.436 | 0.296 | — | — | — | — | |
| Koopa + FANPrediction Length=1682024.09 | 0.436 | 0.352 | — | — | — | — | |
| DLinearPrediction Horizon (H)=3362026.04 | 0.436 | 0.296 | — | — | — | — | |
| CALFInput sequence length T=96, Backbone=GPT2 (6 layers)2024.03 | 0.439 | 0.281 | — | — | — | — | |
| PENGUINLook-back length (L)=96, Prediction horizons (H)={96, 192, 336, 720}2025.08 | 0.44 | 0.278 | — | — | — | — | |
| DecompKANPrediction Horizon (H)=7202026.04 | 0.441 | 0.299 | — | — | — | — | |
| KoopaPrediction Length=1682024.09 | 0.442 | 0.359 | — | — | — | — | |
| Scaleformer2024.01 | 0.443 | 0.307 | — | — | — | — | |
| N-HITSPrediction Length (H)=336, Input Length (T)=3362024.03 | 0.446 | 0.321 | — | — | — | — | |
| TimesNetPrediction Length=3362024.09 | 0.446 | 0.356 | — | — | — | — | |
| DualformerPrediction Length=7202026.01 | 0.447 | 0.287 | — | — | — | — | |
| PatchTSTPrediction Length=7202026.01 | 0.454 | 0.313 | — | — | — | — |