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Multivariate Forecasting on Weather

0.0706MSERLinear
0.0581040.1424520.22680.311148Jun 24, 2021Apr 17, 2022Feb 8, 2023Dec 2, 2023Sep 24, 2024Jul 18, 2025May 11, 2026

Evaluation results

MethodLinks
RLinearPrediction Length=12, Input Sequence Length=336, Learning Rate=0.0012025.010.07060.0974
GLinearPrediction Length=12, Input Sequence Length=336, Learning Rate=0.0012025.010.07160.094
DLinearPrediction Length=12, Input Sequence Length=336, Learning Rate=0.0012025.010.07830.1158
NLinearPrediction Length=12, Input Sequence Length=336, Learning Rate=0.0012025.010.07840.1127
TimeMixerHorizon=18, Input sequence length=962026.050.0870.112
LeapTSHorizon=18, Input sequence length=962026.050.0880.111
RLinearPrediction Length=24, Input Sequence Length=336, Learning Rate=0.0012025.010.09050.1247
GLinearPrediction Length=24, Input Sequence Length=336, Learning Rate=0.0012025.010.09090.1247
AmplifierHorizon=18, Input sequence length=962026.050.0910.124
PatchTSTHorizon=18, Input sequence length=962026.050.0920.122
iTransformerHorizon=18, Input sequence length=962026.050.0930.12
TSMixerHorizon=18, Input sequence length=962026.050.0970.151
AMDHorizon=18, Input sequence length=962026.050.0980.137
TimesNetHorizon=18, Input sequence length=962026.050.1020.148
DLinearPrediction Length=24, Input Sequence Length=336, Learning Rate=0.0012025.010.1040.1519
DLinearHorizon=18, Input sequence length=962026.050.1050.154
NLinearPrediction Length=24, Input Sequence Length=336, Learning Rate=0.0012025.010.10560.1453
LeapTSInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1130.143
LeapTSHorizon=AVG, Input sequence length=962026.050.1130.143
RLinearPrediction Length=48, Input Sequence Length=336, Learning Rate=0.0012025.010.11380.1566
AmplifierInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1140.151
AmplifierHorizon=AVG, Input sequence length=962026.050.1140.151
TimeMixerInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1150.151
TimeMixerHorizon=AVG, Input sequence length=962026.050.1150.151
GLinearPrediction Length=48, Input Sequence Length=336, Learning Rate=0.0012025.010.11630.1602
iTransformerInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1210.155
iTransformerHorizon=AVG, Input sequence length=962026.050.1210.155
PatchTSTInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1250.164
TimesNetInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1250.175
PatchTSTHorizon=AVG, Input sequence length=962026.050.1250.164
TimesNetHorizon=AVG, Input sequence length=962026.050.1250.175
AMDInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1290.173
AMDHorizon=AVG, Input sequence length=962026.050.1290.173
TSMixerInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.130.195
TSMixerHorizon=AVG, Input sequence length=962026.050.130.195
NLinearPrediction Length=48, Input Sequence Length=336, Learning Rate=0.0012025.010.13570.1824
DLinearPrediction Length=48, Input Sequence Length=336, Learning Rate=0.0012025.010.13670.1937
SSCNNprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1390.175
SCNNprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.140.178
DLinearInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.140.197
DLinearHorizon=AVG, Input sequence length=962026.050.140.197
TimeMixerprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1430.182
RLinearPrediction Length=96, Input Sequence Length=336, Learning Rate=0.0012025.010.1450.1936
GLinearPrediction Length=96, Input Sequence Length=336, Learning Rate=0.0012025.010.14570.1966
Crossformerprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.150.194
PatchTSTprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1530.184
iTransformerprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1580.19
DLinearprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1610.209
TimesNetprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1650.206
DLinearPrediction Length=96, Input Sequence Length=336, Learning Rate=0.0012025.010.17560.2386
NLinearPrediction Length=96, Input Sequence Length=336, Learning Rate=0.0012025.010.17610.2264
Autoformerprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1850.231
RLinearPrediction Length=192, Input Sequence Length=336, Learning Rate=0.0012025.010.18780.2339
GLinearPrediction Length=192, Input Sequence Length=336, Learning Rate=0.0012025.010.18830.2385
AutoformerPrediction Length=12, Input Sequence Length=336, Learning Rate=0.0012025.010.2010.2933
AutoformerPrediction Length=24, Input Sequence Length=336, Learning Rate=0.0012025.010.20950.3033
DLinearPrediction Length=192, Input Sequence Length=336, Learning Rate=0.0012025.010.2160.2739
NLinearPrediction Length=192, Input Sequence Length=336, Learning Rate=0.0012025.010.21640.2595
DLinearBackbone=MLP-based, Normalization=TIFO*2026.020.2240.271
PatchTSTForecast Length=Avg, Lookback Length=6722025.080.2260.268
DLinearBackbone=MLP-based, Normalization=SAN2026.020.2270.276
HGTS-FormerForecast Length=Avg, Lookback Length=6722025.080.230.262
DLinearBackbone=MLP-based, Normalization=TIFO2026.020.2370.272
AutoformerPrediction Length=48, Input Sequence Length=336, Learning Rate=0.0012025.010.23970.3202
RLinearPrediction Length=336, Input Sequence Length=336, Learning Rate=0.0012025.010.24040.2743
GLinearPrediction Length=336, Input Sequence Length=336, Learning Rate=0.0012025.010.24070.2764
QDFForecasting Horizon (T)=Avg2025.100.2420.268
CI-TSMixer-BestForecast Horizon (FL)=3362023.060.243—
iTransformerBackbone=Transformer-based, Normalization=TIFO*2026.020.2440.282
CI-TSMixerForecast Horizon (FL)=3362023.060.246—
iTransformerBackbone=Transformer-based, Normalization=TIFO2026.020.2460.274
TQNetForecasting Horizon (T)=Avg2025.100.2460.27
iTransformerBackbone=Transformer-based, Normalization=SAN2026.020.2470.291
FreTSForecasting Horizon (T)=Avg2025.100.2490.293
iTransformerBackbone=Transformer-based, Normalization=FAN2026.020.2510.298
DLinearBackbone=MLP-based, Normalization=FAN2026.020.2580.305
FredformerForecasting Horizon (T)=Avg2025.100.2610.282
iTransformerBackbone=Transformer-based, Normalization=RevIN2026.020.2630.288
MICNForecasting Horizon (T)=Avg2025.100.2640.321
DLinearBackbone=MLP-based, Normalization=RevIN2026.020.2650.317
PDFForecasting Horizon (T)=Avg2025.100.2650.283
DLinearForecasting Horizon (T)=Avg2025.100.2650.317
DLinearPrediction Length=336, Input Sequence Length=336, Learning Rate=0.0012025.010.26520.3192
AutoformerInput length I=96, Prediction length O=962021.060.2660.336
NLinearPrediction Length=336, Input Sequence Length=336, Learning Rate=0.0012025.010.26640.2966
PatchTSTForecasting Horizon (T)=Avg2025.100.2670.288
iTransformerForecasting Horizon (T)=Avg2025.100.2690.289
TimesNetForecasting Horizon (T)=Avg2025.100.2710.295
TiDEForecasting Horizon (T)=Avg2025.100.2720.291
InformerInput length I=96, Prediction length O=962021.060.30.384
AutoformerPrediction Length=96, Input Sequence Length=336, Learning Rate=0.0012025.010.30040.3776
AutoformerInput length I=96, Prediction length O=1922021.060.3070.367
RLinearPrediction Length=720, Input Sequence Length=336, Learning Rate=0.0012025.010.31590.3271
CI-TSMixer-BestForecast Horizon (FL)=7202023.060.316—
GLinearPrediction Length=720, Input Sequence Length=336, Learning Rate=0.0012025.010.320.3334
CI-TSMixerForecast Horizon (FL)=7202023.060.323—
DLinearPrediction Length=720, Input Sequence Length=336, Learning Rate=0.0012025.010.32750.3667
NLinearPrediction Length=720, Input Sequence Length=336, Learning Rate=0.0012025.010.33390.3437
AutoformerInput length I=96, Prediction length O=3362021.060.3590.395
AutoformerPrediction Length=336, Input Sequence Length=336, Learning Rate=0.0012025.010.3830.4171