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Multivariate Time Series Forecasting on ETTh2 (test)

0.267MSEDLinearU
0.261320.299660.3380.37634Oct 31, 2023Mar 22, 2024Aug 13, 2024Jan 4, 2025May 27, 2025Oct 18, 2025Mar 11, 2026

Evaluation results

MethodLinks
DLinearUH=96, MTL regularization=true, Model Type=Univariate2024.060.267——
TransformerH=96, MTL regularization=true, Model Type=Univariate2024.060.27——
SEG-MOEPrediction Horizon=962026.010.2720.331—
TransformerH=96, MTL regularization=false, Model Type=Univariate2024.060.273——
PathformerForecasting Horizon=96, Protocol=Full-tuning2024.020.2760.328—
PathformerInput Length (H)=96, Prediction Length (T)=962024.020.2790.331—
PathformerForecasting Horizon=96, Protocol=Part-tuning2024.020.2870.333—
PatchTSTForecasting Horizon=96, Protocol=Full-tuning2024.020.2870.337—
AutoConInput length=96, Prediction length=962024.020.290.341—
PatchTSTH=96, MTL regularization=true, Model Type=Univariate2024.060.291——
FiLMInput length (I)=96, Output length (O)=962023.100.2920.341—
FredformerPrediction Length=96, Input sequence length=962024.060.2930.342—
DLinearUH=96, MTL regularization=false, Model Type=Univariate2024.060.294——
PatchTSTH=96, MTL regularization=false, Model Type=Univariate2024.060.295——
SAMformerH=96, MTL regularization=false, Model Type=Multivariate2024.060.295——
iTransformerH=96, MTL regularization=false, Model Type=Multivariate2024.060.297——
BasisformerInput length (I)=96, Output length (O)=962023.100.3120.356—
FEDformerForecasting Horizon=96, Protocol=Full-tuning2024.020.3260.337—
DLinearUH=192, MTL regularization=true, Model Type=Univariate2024.060.331——
PatchTSTH=336, MTL regularization=true, Model Type=Univariate2024.060.332——
DlinearInput length (I)=96, Output length (O)=962023.100.3330.387—
DLinearMH=96, MTL regularization=false, Model Type=Multivariate2024.060.333——
TransformerH=192, MTL regularization=true, Model Type=Univariate2024.060.337——
PathformerForecasting Horizon=336, Protocol=Full-tuning2024.020.3370.374—
TransformerH=192, MTL regularization=false, Model Type=Univariate2024.060.339——
TimeMixer++2026.020.339——
SAMformerH=192, MTL regularization=false, Model Type=Multivariate2024.060.34——
TimesNetInput length=96, Prediction length=962024.020.340.374—
PathformerForecasting Horizon=96, Protocol=Predict2024.020.340.369—
PatchTSTH=336, MTL regularization=false, Model Type=Univariate2024.060.342——
AutoformerForecasting Horizon=96, Protocol=Full-tuning2024.020.3420.386—
PathformerForecasting Horizon=336, Protocol=Part-tuning2024.020.3420.384—
AutoformerInput length (I)=96, Output length (O)=962023.100.3460.388—
PatchTSTH=192, MTL regularization=true, Model Type=Univariate2024.060.346——
PatchTSTForecasting Horizon=96, Protocol=Predict2024.020.3460.369—
TimeSqueezeInput length (L)=96, Prediction horizons (T)={96, 192, 336, 720}2026.030.3470.386—
SAMformerH=336, MTL regularization=false, Model Type=Multivariate2024.060.35——
PathformerForecasting Horizon=192, Protocol=Full-tuning2024.020.350.376—
PatchTSTH=192, MTL regularization=false, Model Type=Univariate2024.060.351——
FedformerInput length (I)=96, Output length (O)=962023.100.3580.397—
PathformerForecasting Horizon=192, Protocol=Part-tuning2024.020.3580.382—
DLinearUH=192, MTL regularization=false, Model Type=Univariate2024.060.361——
DLinearUH=336, MTL regularization=false, Model Type=Univariate2024.060.361——
TimeMixer2026.020.364——
TimeMixerPrediction Horizon=Avg2026.010.3640.395—
FredformerPrediction Length=Avg, Input sequence length=962024.060.3650.393—
FredformerLook-back length=96, Avg prediction length=96, 192, 336, 7202024.060.3650.393—
TransformerH=336, MTL regularization=true, Model Type=Univariate2024.060.366——
PatchTSTForecasting Horizon=192, Protocol=Full-tuning2024.020.3660.385—
EntroPEInput length (L)=96, Prediction horizons (T)={96, 192, 336, 720}2026.030.3660.387—
DLinearUH=336, MTL regularization=true, Model Type=Univariate2024.060.367——
OLinear2026.020.367——
TransformerH=336, MTL regularization=false, Model Type=Univariate2024.060.369——
FredformerPrediction Length=192, Input sequence length=962024.060.3710.389—
TimeCMAInput Sequence Length=96, Prediction Length=Avg2024.060.3720.397—
CALFInput length (L)=96, Prediction horizons (T)={96, 192, 336, 720}2026.030.3720.395—
SOFTSLookback window length (L)=96, Prediction horizons (H)={96, 192, 336, 720}2024.040.3730.4—
N-HITSInput length (I)=96, Output length (O)=962023.100.3740.383—
RLinearPrediction Length=Avg, Input sequence length=962024.060.3740.398—
RLinearLook-back length=96, Avg prediction length=96, 192, 336, 7202024.060.3740.398—
LangTimeInput length (L)=96, Prediction horizons (T)={96, 192, 336, 720}2026.030.3750.392—
FilterTSInput length (L)=96, Prediction horizons (T)={96, 192, 336, 720}2026.030.3750.399—
PatchTSTForecasting Horizon=336, Protocol=Full-tuning2024.020.3770.405—
Prime Attn.Prediction Horizon=Avg., Backbone=iTransformer2025.090.3770.404—
FiLMInput length (I)=96, Output length (O)=1922023.100.3780.396—
FEDformerForecasting Horizon=336, Protocol=Full-tuning2024.020.3780.416—
iTransformerH=192, MTL regularization=false, Model Type=Multivariate2024.060.38——
BasisformerInput length (I)=96, Output length (O)=1922023.100.3820.401—
FredformerPrediction Length=336, Input sequence length=962024.060.3820.409—
Time-FFMInput length (L)=96, Prediction horizons (T)={96, 192, 336, 720}2026.030.3820.406—
LagTSPrediction Horizon=Avg.2025.090.3820.405—
iTransformerPrediction Length=Avg, Input sequence length=962024.060.3830.407—
iTransformerLook-back length=96, Avg prediction length=96, 192, 336, 7202024.060.3830.407—
iTransformerLookback window length (L)=96, Prediction horizons (H)={96, 192, 336, 720}2024.040.3830.407—
iTransformer2026.020.383——
iTransformerInput length (L)=96, Prediction horizons (T)={96, 192, 336, 720}2026.030.3830.407—
PatchTSTH=720, MTL regularization=true, Model Type=Univariate2024.060.384——
StretchTime2026.020.384——
PathformerForecasting Horizon=336, Protocol=Predict2024.020.3840.401—
HDMixerInput length (L)=96, Prediction horizons (T)={96, 192, 336, 720}2026.030.3840.407—
PatchTSTLookback window length (L)=96, Prediction horizons (H)={96, 192, 336, 720}2024.040.3850.41—
DIFF TransformerPrediction Horizon=Avg.2025.090.3860.411—
LIFTPrediction Horizon=Avg.2025.090.3860.408—
PatchTSTPrediction Length=Avg, Input sequence length=962024.060.3870.407—
PatchTSTLook-back length=96, Avg prediction length=96, 192, 336, 7202024.060.3870.407—
TimeMixerInput length (L)=96, Prediction horizons (T)={96, 192, 336, 720}2026.030.390.409—
SAMformerH=720, MTL regularization=false, Model Type=Multivariate2024.060.391——
PatchTST2026.020.391——
PatchTSTInput length (L)=96, Prediction horizons (T)={96, 192, 336, 720}2026.030.3910.411—
TimeKANInput length (L)=96, Prediction horizons (T)={96, 192, 336, 720}2026.030.3910.41—
PatchTSTH=720, MTL regularization=false, Model Type=Univariate2024.060.393——
DLinearUH=720, MTL regularization=false, Model Type=Univariate2024.060.395——
AutoformerForecasting Horizon=96, Protocol=Predict2024.020.3970.439—
TSMixerLookback window length (L)=96, Prediction horizons (H)={96, 192, 336, 720}2024.040.4010.417—
RoPE2026.020.401——
PathformerForecasting Horizon=720, Protocol=Full-tuning2024.020.4010.426—
TransformerH=720, MTL regularization=true, Model Type=Univariate2024.060.405——
PatchTSTForecasting Horizon=336, Protocol=Predict2024.020.4080.419—
FEDformerForecasting Horizon=192, Protocol=Full-tuning2024.020.4090.43—
TimeBaseInput length (L)=96, Prediction horizons (T)={96, 192, 336, 720}2026.030.4090.425—