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Multivariate long-term forecasting on Electricity

0.128MSED-PAD
0.126360.137430.14850.15957Apr 17, 2023Oct 25, 2023May 3, 2024Nov 10, 2024May 20, 2025Nov 27, 2025Jun 7, 2026

Evaluation results

MethodLinks
D-PADPrediction Length (H)=96, Input Length (T)=3362024.030.1280.218
DualformerPrediction Length=962026.010.1280.221
DLinear + TimeAPNPrediction Length=96, Backbone=DLinear2026.030.1280.225
PatchTST/64T=962023.040.1290.222
PatchTSTPrediction Length=962026.010.1290.223
FusADPrediction length=962025.120.1290.222
AMDPrediction length=962025.120.1290.224
AffirmPrediction length=962025.120.1290.223
iTransformerPrediction Length=962026.010.1310.227
PatchTST + TimeAPNPrediction Length=96, Backbone=PatchTST2026.030.1310.228
TiDET=962023.040.1320.229
TimeMixerPrediction Length=962026.010.1350.222
S_Mamba + TimeAPNPrediction Length=96, Backbone=S_Mamba2026.030.1350.24
S_MambaPrediction Length=96, Backbone=S_Mamba2026.030.1370.235
PatchTSTPrediction length=962025.120.1380.23
GPT4TSPrediction length=962025.120.1390.238
DLinearPrediction Length (H)=96, Input Length (T)=3362024.030.140.237
DlinearPrediction length=962025.120.140.237
DLinearPrediction Length=96, Backbone=DLinear2026.030.140.237
D-PADPrediction Length (H)=192, Input Length (T)=3362024.030.1420.233
FEDformer + TimeAPNPrediction Length=96, Backbone=FEDformer2026.030.1440.244
LaSTPrediction Length (H)=96, Input Length (T)=3362024.030.1450.238
DualformerPrediction Length=1922026.010.1450.237
AffirmPrediction length=1922025.120.1460.239
TiDET=1922023.040.1470.243
PatchTST/64T=1922023.040.1470.24
TimeMixerPrediction Length=1922026.010.1470.235
FusADPrediction length=1922025.120.1470.238
AMDPrediction length=1922025.120.1470.238
DLinear + TimeAPNPrediction Length=192, Backbone=DLinear2026.030.1470.245
iTransformerPrediction Length=1922026.010.1480.244
iTransformerPrediction length=962025.120.1480.24
PatchTST + TimeAPNPrediction Length=192, Backbone=PatchTST2026.030.1480.246
PatchTSTPrediction Length=1922026.010.1490.243
PatchTSTPrediction length=1922025.120.1490.243
N-HITSPrediction Length (H)=96, Input Length (T)=3362024.030.1510.254
DLinearPrediction Length (H)=192, Input Length (T)=3362024.030.1530.249
DlinearPrediction length=1922025.120.1530.249
GPT4TSPrediction length=1922025.120.1530.251
TimesNet + FANPrediction Length=962024.090.1540.248
DLinearPrediction Length=192, Backbone=DLinear2026.030.1540.25
S_Mamba + TimeAPNPrediction Length=192, Backbone=S_Mamba2026.030.1540.259
FusADPrediction length=Avg2025.120.1560.249
HiMTMPrediction Horizon=Average2024.010.1570.248
PatchTST*Prediction Horizon=Average2024.010.1570.252
TimesNet + FANPrediction Length=1682024.090.1570.253
AMDPrediction length=Avg2025.120.1570.25
AffirmPrediction length=Avg2025.120.1570.25
DualformerPrediction length T=Average of {96, 192, 336, 720}, Lookback window size L=962026.010.1580.249
LaSTPrediction Length (H)=192, Input Length (T)=3362024.030.1590.249
DualformerPrediction Length=3362026.010.160.253
FusADPrediction length=3362025.120.160.251
AMDPrediction length=3362025.120.160.253
DLinear + TimeAPNPrediction Length=336, Backbone=DLinear2026.030.160.261
CycleNetLook-back length (L)=336, Prediction horizons (H)={96, 192, 336, 720}2025.080.160.253
D-PADPrediction Length (H)=336, Input Length (T)=3362024.030.1610.254
ATFNetforecast_horizon=Average of {96, 192, 336, 720}2024.040.1610.257
TiDET=3362023.040.1610.261
PatchTSTPrediction length T=Average of {96, 192, 336, 720}, Lookback window size L=962026.010.1610.255
iTransformerPrediction length T=Average of {96, 192, 336, 720}, Lookback window size L=962026.010.1610.257
TimePerceiverPrediction Length (H)=Avg, Input Length (L)=Averaged over {96, 384, 768}2025.120.1610.254
S_MambaPrediction Length=192, Backbone=S_Mamba2026.030.1610.259
SimMTMPrediction Horizon=Average2024.010.1620.256
iTransformerPrediction length=1922025.120.1620.253
AffirmPrediction length=3362025.120.1620.252
FEDformer + TimeAPNPrediction Length=192, Backbone=FEDformer2026.030.1620.26
InA-ProbeEvaluation Protocol=One-for-all, Prediction Length/Horizon Training Strategy=Single 96-step model serves all horizons2026.060.1620.254
iTransformerforecast_horizon=Average of {96, 192, 336, 720}2024.040.1630.259
PatchTST/64T=3362023.040.1630.259
FreTSPrediction length T=Average of {96, 192, 336, 720}, Lookback window size L=962026.010.1630.259
iTransformerLook-back length (L)=336, Prediction horizons (H)={96, 192, 336, 720}2025.080.1630.258
iTransformerEvaluation Protocol=One-for-one, Prediction Length/Horizon Training Strategy=Trained respectively for each prediction length2026.060.1630.258
TimeMixerPrediction Length=3362026.010.1640.245
iTransformerPrediction Length=3362026.010.1640.262
PatchTST + TimeAPNPrediction Length=336, Backbone=PatchTST2026.030.1640.264
TimesNet + FANPrediction Length=3362024.090.1650.268
PatchTSTPrediction Length=3362026.010.1650.26
TimeMixerPrediction length T=Average of {96, 192, 336, 720}, Lookback window size L=962026.010.1650.253
PENGUINLook-back length (L)=336, Prediction horizons (H)={96, 192, 336, 720}2025.080.1650.261
CALFEvaluation Protocol=One-for-one, Prediction Length/Horizon Training Strategy=Trained respectively for each prediction length2026.060.1650.262
CATSPrediction Length (H)=Avg, Input Length (L)=Averaged over {96, 384, 768}2025.120.1660.257
S-MambaPrediction Length (H)=Avg, Input Length (L)=Averaged over {96, 384, 768}2025.120.1660.262
DlinearPrediction length=Avg2025.120.1660.264
DLinearLook-back length (L)=336, Prediction horizons (H)={96, 192, 336, 720}2025.080.1660.263
MoLELook-back length (L)=336, Prediction horizons (H)={96, 192, 336, 720}2025.080.1660.264
MTLinearLook-back length (L)=336, Prediction horizons (H)={96, 192, 336, 720}2025.080.1660.263
FPTEvaluation Protocol=One-for-one, Prediction Length/Horizon Training Strategy=Trained respectively for each prediction length2026.060.1660.263
SimpleTMEvaluation Protocol=One-for-one, Prediction Length/Horizon Training Strategy=Trained respectively for each prediction length2026.060.1660.261
TimeMixerEvaluation Protocol=One-for-one, Prediction Length/Horizon Training Strategy=Trained respectively for each prediction length2026.060.1660.257
PatchTSTEvaluation Protocol=One-for-one, Prediction Length/Horizon Training Strategy=Trained respectively for each prediction length2026.060.1660.267
DLinearPrediction length T=Average of {96, 192, 336, 720}, Lookback window size L=962026.010.1670.264
PatchTSTPrediction length=Avg2025.120.1670.259
GPT4TSPrediction length=Avg2025.120.1670.263
CycleNet/MLPLook-back length=96, Forecast horizons=avg(96, 192, 336, 720)2024.090.1680.259
TimesNetPrediction length=962025.120.1680.272
CycleNet/MLPLook-back length (L)=96, Prediction horizons (H)={96, 192, 336, 720}2025.080.1680.259
SCINetPrediction Length (H)=96, Input Length (T)=3362024.030.1690.257
DLinearPrediction Length (H)=336, Input Length (T)=3362024.030.1690.267
PatchTSTPrediction length=3362025.120.1690.262
DlinearPrediction length=3362025.120.1690.267