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Multivariate Forecasting on Electricity

0.0883MSEGLinear
0.0819240.1249620.1680.211038Jun 24, 2021Apr 17, 2022Feb 8, 2023Dec 2, 2023Sep 24, 2024Jul 18, 2025May 11, 2026

Evaluation results

MethodLinks
GLinearPrediction Length=12, Input Sequence Length=336, Learning Rate=0.0012025.010.08830.186
RLinearPrediction Length=12, Input Sequence Length=336, Learning Rate=0.0012025.010.09670.1973
GLinearPrediction Length=24, Input Sequence Length=336, Learning Rate=0.0012025.010.09880.1952
DLinearPrediction Length=12, Input Sequence Length=336, Learning Rate=0.0012025.010.09970.2009
NLinearPrediction Length=12, Input Sequence Length=336, Learning Rate=0.0012025.010.10.2006
RLinearPrediction Length=24, Input Sequence Length=336, Learning Rate=0.0012025.010.1060.2049
DLinearPrediction Length=24, Input Sequence Length=336, Learning Rate=0.0012025.010.10990.2089
NLinearPrediction Length=24, Input Sequence Length=336, Learning Rate=0.0012025.010.11030.2092
GLinearPrediction Length=48, Input Sequence Length=336, Learning Rate=0.0012025.010.11440.2101
LeapTSInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1170.213
LeapTSHorizon=AVG, Input sequence length=962026.050.1170.213
RLinearPrediction Length=48, Input Sequence Length=336, Learning Rate=0.0012025.010.12010.218
AmplifierInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1220.219
iTransformerInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1220.215
AmplifierHorizon=AVG, Input sequence length=962026.050.1220.219
iTransformerHorizon=AVG, Input sequence length=962026.050.1220.215
DLinearPrediction Length=48, Input Sequence Length=336, Learning Rate=0.0012025.010.12490.2231
NLinearPrediction Length=48, Input Sequence Length=336, Learning Rate=0.0012025.010.12550.2232
CI-TSMixer-BestPrediction Length=962023.060.1290.224
PatchTSTPrediction Length=962023.060.1290.222
TimeMixerInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1310.226
TimeMixerHorizon=AVG, Input sequence length=962026.050.1310.226
GLinearPrediction Length=96, Input Sequence Length=336, Learning Rate=0.0012025.010.13130.2258
RLinearPrediction Length=96, Input Sequence Length=336, Learning Rate=0.0012025.010.13580.2317
GPHTPortion=10%, Prediction Horizon=962024.020.140.233
DLinearPrediction Length=96, Input Sequence Length=336, Learning Rate=0.0012025.010.14010.2374
NLinearPrediction Length=96, Input Sequence Length=336, Learning Rate=0.0012025.010.14090.2366
GPHTPortion=5%, Prediction Horizon=962024.020.1430.237
TimesNetInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1430.25
TimesNetHorizon=AVG, Input sequence length=962026.050.1430.25
AMDInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1450.24
AMDHorizon=AVG, Input sequence length=962026.050.1450.24
PatchTSTPortion=10%, Prediction Horizon=962024.020.1470.245
FPTPortion=5%, Prediction Horizon=962024.020.1480.246
FPTPortion=10%, Prediction Horizon=962024.020.1490.248
GLinearPrediction Length=192, Input Sequence Length=336, Learning Rate=0.0012025.010.14940.2423
RLinearPrediction Length=192, Input Sequence Length=336, Learning Rate=0.0012025.010.15180.2455
SimMTMPortion=5%, Prediction Horizon=962024.020.1520.255
DLinearPrediction Length=192, Input Sequence Length=336, Learning Rate=0.0012025.010.15380.2505
GTTEvaluation Protocol=Fine-Tune2024.020.1550.246
TSMixer2024.020.1550.251
iTransformerPortion=5%, Prediction Horizon=962024.020.1550.256
NLinearPrediction Length=192, Input Sequence Length=336, Learning Rate=0.0012025.010.15510.2488
GTTEvaluation Protocol=Zero-Shot2024.020.1570.249
CI-TSMixer-BestForecast Horizon (FL)=3362023.060.158—
PatchTSTInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1580.253
PatchTSTHorizon=AVG, Input sequence length=962026.050.1580.253
PatchTST2024.020.1590.253
GPHTPortion=10%, Prediction Horizon=1922024.020.1590.25
CI-TSMixer-BestForecast Length=3362023.060.16—
DLinearBackbone=MLP-based, Normalization=TIFO*2026.020.1610.257
GPHTPortion=5%, Prediction Horizon=1922024.020.1620.254
DLinearBackbone=MLP-based, Normalization=SAN2026.020.1630.26
AutoformerPrediction Length=12, Input Sequence Length=336, Learning Rate=0.0012025.010.16380.2872
CI-TSMixerForecast Horizon (FL)=3362023.060.165—
TSMixerInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1650.276
TSMixerHorizon=AVG, Input sequence length=962026.050.1650.276
GLinearPrediction Length=336, Input Sequence Length=336, Learning Rate=0.0012025.010.16510.2582
DLinear2024.020.1660.264
GPT4TS2024.020.1670.263
DLinearBackbone=MLP-based, Normalization=TIFO2026.020.1680.262
RLinearPrediction Length=336, Input Sequence Length=336, Learning Rate=0.0012025.010.16880.2621
iTransformerBackbone=Transformer-based, Normalization=TIFO2026.020.1690.262
DLinearPrediction Length=336, Input Sequence Length=336, Learning Rate=0.0012025.010.16930.2678
AutoformerPrediction Length=24, Input Sequence Length=336, Learning Rate=0.0012025.010.17110.2917
NLinearPrediction Length=336, Input Sequence Length=336, Learning Rate=0.0012025.010.17170.2654
iTransformerBackbone=Transformer-based, Normalization=TIFO*2026.020.1750.273
DLinearBackbone=MLP-based, Normalization=FAN2026.020.1760.277
iTransformer2024.020.1780.27
GPHTPortion=10%, Prediction Horizon=3362024.020.180.271
iTransformerBackbone=Transformer-based, Normalization=FAN2026.020.180.276
AutoformerPrediction Length=48, Input Sequence Length=336, Learning Rate=0.0012025.010.18270.299
GPHTPortion=5%, Prediction Horizon=3362024.020.1840.275
CI-TSMixer-BestForecast Horizon (FL)=7202023.060.186—
CI-TSMixer-BestPrediction Length=7202023.060.1860.282
CI-TSMixer-BestForecast Length=7202023.060.187—
PatchTSTPortion=5%, Prediction Horizon=962024.020.1880.292
TimesNet2024.020.1920.295
NSformerTraining configuration=Each Dataset, Predictive length=Avg2023.100.1930.296
iTransformerBackbone=Transformer-based, Normalization=SAN2026.020.1950.283
AutoformerPrediction Length=96, Input Sequence Length=336, Learning Rate=0.0012025.010.1960.3106
DLinearInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1960.288
DLinearHorizon=AVG, Input sequence length=962026.050.1960.288
AutoformerInput length I=96, Prediction length O=962021.060.2010.317
GLinearPrediction Length=720, Input Sequence Length=336, Learning Rate=0.0012025.010.20270.2906
CI-TSMixerForecast Horizon (FL)=7202023.060.204—
DLinearPrediction Length=720, Input Sequence Length=336, Learning Rate=0.0012025.010.20420.3005
iTransformerBackbone=Transformer-based, Normalization=RevIN2026.020.2050.272
AutoformerPrediction Length=192, Input Sequence Length=336, Learning Rate=0.0012025.010.20640.3182
RLinearPrediction Length=720, Input Sequence Length=336, Learning Rate=0.0012025.010.20710.294
NLinearPrediction Length=720, Input Sequence Length=336, Learning Rate=0.0012025.010.21040.2977
Fedformer2024.020.2140.327
UniTimeTraining configuration=Across Datasets, Predictive length=Avg2023.100.2160.305
AutoformerPrediction Length=336, Input Sequence Length=336, Learning Rate=0.0012025.010.21770.329
AutoformerInput length I=96, Prediction length O=1922021.060.2220.334
DLinearBackbone=MLP-based, Normalization=RevIN2026.020.2250.316
AutoformerInput length I=96, Prediction length O=3362021.060.2310.338
GPHTPortion=10%, Prediction Horizon=7202024.020.2310.313
GPHTPortion=5%, Prediction Horizon=7202024.020.2380.321
AutoformerPrediction Length=720, Input Sequence Length=336, Learning Rate=0.0012025.010.24770.3528