Multivariate Time Series Forecasting on PEMS04 (Including Averages)
0.073MSESCINet
Evaluation results
| Method | Links | ||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| SCINetLook-back length=96, Forecast horizon=122024.09 | 0.073 | — | — | — | — | — | — | — | — | — | — | — | — | 0.177 | — | — | — | — | |
| SOFTSLookback window length=96, Prediction length=122024.04 | 0.074 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.176 | |
| Ada-MSHyperforecast_type=short-range, multivariate=true, input_length=96, output_lengths=12, 24, 482024.10 | 0.076 | — | — | — | — | — | — | — | — | — | — | — | — | 0.177 | — | — | — | — | |
| CycleNet/MLPLook-back length=96, Forecast horizon=122024.09 | 0.078 | — | — | — | — | — | — | — | — | — | — | — | — | 0.186 | — | — | — | — | |
| iTransformerLook-back length=96, Forecast horizon=122024.09 | 0.078 | — | — | — | — | — | — | — | — | — | — | — | — | 0.183 | — | — | — | — | |
| SCINetLook-back length=96, Forecast horizon=242024.09 | 0.084 | — | — | — | — | — | — | — | — | — | — | — | — | 0.193 | — | — | — | — | |
| PAMNetLookback length=96, Prediction horizons=H={12, 24, 48, 96}2026.05 | 0.085 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.18 | |
| PAModLookback length=96, Prediction horizons=Averaged {12, 24, 48, 96}2026.05 | 0.086 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.185 | |
| iTransformerforecast_type=short-range, multivariate=true, input_length=96, output_lengths=12, 24, 482024.10 | 0.088 | — | — | — | — | — | — | — | — | — | — | — | — | 0.19 | — | — | — | — | |
| CycleNet/LinearLook-back length=96, Forecast horizon=122024.09 | 0.089 | — | — | — | — | — | — | — | — | — | — | — | — | 0.201 | — | — | — | — | |
| TQNetLookback length=96, Prediction horizons=Averaged {12, 24, 48, 96}2026.05 | 0.091 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.197 | |
| TQNetLookback length=96, Prediction horizons=H={12, 24, 48, 96}2026.05 | 0.091 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.197 | |
| SCINetPrediction length S={12, 24, 48, 96}, Look-back length T=962024.12 | 0.093 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.202 | |
| iTransformerLook-back length=96, Forecast horizon=242024.09 | 0.095 | — | — | — | — | — | — | — | — | — | — | — | — | 0.205 | — | — | — | — | |
| TimeEmbLookback length=96, Prediction horizons=Averaged {12, 24, 48, 96}2026.05 | 0.096 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.2 | |
| CrossformerLook-back length=96, Forecast horizon=122024.09 | 0.098 | — | — | — | — | — | — | — | — | — | — | — | — | 0.218 | — | — | — | — | |
| CycleNet/MLPLook-back length=96, Forecast horizon=242024.09 | 0.099 | — | — | — | — | — | — | — | — | — | — | — | — | 0.212 | — | — | — | — | |
| SCINetLook-back length=96, Forecast horizon=482024.09 | 0.099 | — | — | — | — | — | — | — | — | — | — | — | — | 0.211 | — | — | — | — | |
| S-Mambalook-back length (L)=96, forecast length (T)=Avg2026.02 | 0.103 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.211 | |
| S-MambaPrediction length S={12, 24, 48, 96}, Look-back length T=962024.12 | 0.103 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.211 | |
| PatchTSTLook-back length=96, Forecast horizon=122024.09 | 0.105 | — | — | — | — | — | — | — | — | — | — | — | — | 0.224 | — | — | — | — | |
| DMambalook-back length (L)=96, forecast length (T)=Avg2026.02 | 0.105 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.21 | |
| TimeXerLookback length=96, Prediction horizons=Averaged {12, 24, 48, 96}2026.05 | 0.105 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.209 | |
| TimeXerPrediction length S={12, 24, 48, 96}, Look-back length T=962024.12 | 0.105 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.209 | |
| IsterPrediction length S={12, 24, 48, 96}, Look-back length T=962024.12 | 0.106 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.213 | |
| Db2-TransFSequence Length=Avg2025.12 | 0.108 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.221 | |
| iTransformerlook-back length (L)=96, forecast length (T)=Avg2026.02 | 0.111 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.221 | |
| iTransformerSequence Length=Avg2025.12 | 0.111 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.221 | |
| iTransformerLookback length=96, Prediction horizons=Averaged {12, 24, 48, 96}2026.05 | 0.111 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.221 | |
| PAModHorizon=962026.05 | 0.111 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.212 | |
| iTransformerLookback length=96, Prediction horizons=H={12, 24, 48, 96}2026.05 | 0.111 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.221 | |
| iTransformerPrediction length S={12, 24, 48, 96}, Look-back length T=962024.12 | 0.111 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.221 | |
| SCINetLook-back length=96, Forecast horizon=962024.09 | 0.114 | — | — | — | — | — | — | — | — | — | — | — | — | 0.227 | — | — | — | — | |
| ACFormer2026.01 | 0.114 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.222 | |
| SCINetforecast_type=short-range, multivariate=true, input_length=96, output_lengths=12, 24, 482024.10 | 0.119 | — | — | — | — | — | — | — | — | — | — | — | — | 0.225 | — | — | — | — | |
| CycleNetLookback length=96, Prediction horizons=Averaged {12, 24, 48, 96}2026.05 | 0.119 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.232 | |
| CycleNetHorizon=Avg2026.05 | 0.119 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.232 | |
| CycleNetLookback length=96, Prediction horizons=H={12, 24, 48, 96}2026.05 | 0.119 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.232 | |
| iTransformerLook-back length=96, Forecast horizon=482024.09 | 0.12 | — | — | — | — | — | — | — | — | — | — | — | — | 0.233 | — | — | — | — | |
| iTransformerPublication Year=20242026.01 | 0.122 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.23 | |
| MSGNetPrediction length S={12, 24, 48, 96}, Look-back length T=962024.12 | 0.122 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.239 | |
| FilterTSLookback length=96, Prediction horizons=Averaged {12, 24, 48, 96}2026.05 | 0.125 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.241 | |
| FilterTSLookback length=96, Prediction horizons=H={12, 24, 48, 96}2026.05 | 0.125 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.241 | |
| CycleNet/LinearLook-back length=96, Forecast horizon=242024.09 | 0.127 | — | — | — | — | — | — | — | — | — | — | — | — | 0.245 | — | — | — | — | |
| MSHyperforecast_type=short-range, multivariate=true, input_length=96, output_lengths=12, 24, 482024.10 | 0.128 | — | — | — | — | — | — | — | — | — | — | — | — | 0.234 | — | — | — | — | |
| TimesNetlook-back length (L)=96, forecast length (T)=Avg2026.02 | 0.129 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.241 | |
| TimesNetSequence Length=Avg2025.12 | 0.129 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.241 | |
| TimesNetLookback length=96, Prediction horizons=H={12, 24, 48, 96}2026.05 | 0.129 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.241 | |
| TimesNetPrediction length S={12, 24, 48, 96}, Look-back length T=962024.12 | 0.129 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.241 | |
| CrossformerLook-back length=96, Forecast horizon=242024.09 | 0.131 | — | — | — | — | — | — | — | — | — | — | — | — | 0.256 | — | — | — | — | |
| TimesNetPublication Year=20232026.01 | 0.131 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.237 | |
| CycleNet/MLPLook-back length=96, Forecast horizon=482024.09 | 0.133 | — | — | — | — | — | — | — | — | — | — | — | — | 0.248 | — | — | — | — | |
| SOFTSLookback window length=96, Prediction length=962024.04 | 0.135 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.244 | |
| AmplifierLookback length=96, Prediction horizons=Averaged {12, 24, 48, 96}2026.05 | 0.135 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.249 | |
| AmplifierLookback length=96, Prediction horizons=H={12, 24, 48, 96}2026.05 | 0.135 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.249 | |
| RLinearLook-back length=96, Forecast horizon=122024.09 | 0.138 | — | — | — | — | — | — | — | — | — | — | — | — | 0.252 | — | — | — | — | |
| AmplifierPublication Year=20252026.01 | 0.139 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.246 | |
| DLinearLook-back length=96, Forecast horizon=122024.09 | 0.148 | — | — | — | — | — | — | — | — | — | — | — | — | 0.272 | — | — | — | — | |
| iTransformerLook-back length=96, Forecast horizon=962024.09 | 0.15 | — | — | — | — | — | — | — | — | — | — | — | — | 0.262 | — | — | — | — | |
| Autoformerforecast_type=short-range, multivariate=true, input_length=96, output_lengths=12, 24, 482024.10 | 0.151 | — | — | — | — | — | — | — | — | — | — | — | — | 0.265 | — | — | — | — | |
| PatchTSTLook-back length=96, Forecast horizon=242024.09 | 0.153 | — | — | — | — | — | — | — | — | — | — | — | — | 0.275 | — | — | — | — | |
| DLinearforecast_type=short-range, multivariate=true, input_length=96, output_lengths=12, 24, 482024.10 | 0.162 | — | — | — | — | — | — | — | — | — | — | — | — | 0.279 | — | — | — | — | |
| PatchTSTforecast_type=short-range, multivariate=true, input_length=96, output_lengths=12, 24, 482024.10 | 0.166 | — | — | — | — | — | — | — | — | — | — | — | — | 0.27 | — | — | — | — | |
| CycleNet/MLPLook-back length=96, Forecast horizon=962024.09 | 0.167 | — | — | — | — | — | — | — | — | — | — | — | — | 0.281 | — | — | — | — | |
| CycleNet/LinearLook-back length=96, Forecast horizon=482024.09 | 0.169 | — | — | — | — | — | — | — | — | — | — | — | — | 0.286 | — | — | — | — | |
| TimeMixerforecast_type=short-range, multivariate=true, input_length=96, output_lengths=12, 24, 482024.10 | 0.172 | — | — | — | — | — | — | — | — | — | — | — | — | 0.351 | — | — | — | — | |
| TimeMixerLookback length=96, Prediction horizons=Averaged {12, 24, 48, 96}2026.05 | 0.185 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.287 | |
| TimeMixerLookback length=96, Prediction horizons=H={12, 24, 48, 96}2026.05 | 0.185 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.287 | |
| FEDformerforecast_type=short-range, multivariate=true, input_length=96, output_lengths=12, 24, 482024.10 | 0.188 | — | — | — | — | — | — | — | — | — | — | — | — | 0.361 | — | — | — | — | |
| CycleNet/LinearLook-back length=96, Forecast horizon=962024.09 | 0.189 | — | — | — | — | — | — | — | — | — | — | — | — | 0.293 | — | — | — | — | |
| PatchTSTlook-back length (L)=96, forecast length (T)=Avg2026.02 | 0.195 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.307 | |
| PatchTSTSequence Length=Avg2025.12 | 0.195 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.307 | |
| PatchTSTLookback length=96, Prediction horizons=Averaged {12, 24, 48, 96}2026.05 | 0.195 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.307 | |
| PatchTSTLookback length=96, Prediction horizons=H={12, 24, 48, 96}2026.05 | 0.195 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.307 | |
| PatchTSTPrediction length S={12, 24, 48, 96}, Look-back length T=962024.12 | 0.195 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.307 | |
| CrossformerLook-back length=96, Forecast horizon=482024.09 | 0.205 | — | — | — | — | — | — | — | — | — | — | — | — | 0.326 | — | — | — | — | |
| ModernTCNPublication Year=20242026.01 | 0.205 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.301 | |
| CrossformerSequence Length=Avg2025.12 | 0.209 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.314 | |
| CrossformerPrediction length S={12, 24, 48, 96}, Look-back length T=962024.12 | 0.209 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.314 | |
| DLinearLook-back length=96, Forecast horizon=242024.09 | 0.224 | — | — | — | — | — | — | — | — | — | — | — | — | 0.34 | — | — | — | — | |
| PatchTSTLook-back length=96, Forecast horizon=482024.09 | 0.229 | — | — | — | — | — | — | — | — | — | — | — | — | 0.339 | — | — | — | — | |
| FEDformerlook-back length (L)=96, forecast length (T)=Avg2026.02 | 0.231 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.337 | |
| FEDformerSequence Length=Avg2025.12 | 0.231 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.337 | |
| TimesNetforecast_type=short-range, multivariate=true, input_length=96, output_lengths=12, 24, 482024.10 | 0.242 | — | — | — | — | — | — | — | — | — | — | — | — | 0.35 | — | — | — | — | |
| RLinearLook-back length=96, Forecast horizon=242024.09 | 0.258 | — | — | — | — | — | — | — | — | — | — | — | — | 0.348 | — | — | — | — | |
| XPatchlook-back length (L)=96, forecast length (T)=Avg2026.02 | 0.268 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.339 | |
| TimeMixer++Publication Year=20252026.01 | 0.268 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.354 | |
| DLinearPublication Year=20232026.01 | 0.276 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.349 | |
| PatchTSTPublication Year=20232026.01 | 0.282 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.342 | |
| PatchTSTLook-back length=96, Forecast horizon=962024.09 | 0.291 | — | — | — | — | — | — | — | — | — | — | — | — | 0.389 | — | — | — | — | |
| PatchTSTHorizon=962026.05 | 0.291 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.389 | |
| DLinearlook-back length (L)=96, forecast length (T)=Avg2026.02 | 0.295 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.388 | |
| DLinearSequence Length=Avg2025.12 | 0.295 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.388 | |
| DLinearLookback length=96, Prediction horizons=H={12, 24, 48, 96}2026.05 | 0.295 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.388 | |
| DLinearPrediction length S={12, 24, 48, 96}, Look-back length T=962024.12 | 0.295 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.388 | |
| TiDElook-back length (L)=96, forecast length (T)=Avg2026.02 | 0.353 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.437 | |
| TiDESequence Length=Avg2025.12 | 0.353 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.437 | |
| DLinearLook-back length=96, Forecast horizon=482024.09 | 0.355 | — | — | — | — | — | — | — | — | — | — | — | — | 0.437 | — | — | — | — | |
| TimeProPublication Year=20252026.01 | 0.398 | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | — | 0.416 | |
| CrossformerLook-back length=96, Forecast horizon=962024.09 | 0.402 | — | — | — | — | — | — | — | — | — | — | — | — | 0.457 | — | — | — | — |