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Long-term forecasting on Exchange (test)

0.036MAEFreTS
0.021240.120870.22050.32013Nov 10, 2023Apr 15, 2024Sep 19, 2024Feb 23, 2025Jul 30, 2025Jan 3, 2026Jun 9, 2026

Evaluation results

MethodLinks
FreTSLookback window length (L)=192, Prediction length (τ)=962023.110.036—0.05
FreTSLookback window length (L)=96, Prediction length (τ)=962023.110.037—0.051
PatchTSTLookback window length (L)=192, Prediction length (τ)=962023.110.037—0.051
LTSF-LinearLookback window length (L)=96, Prediction length (τ)=962023.110.038—0.053
LTSF-LinearLookback window length (L)=192, Prediction length (τ)=962023.110.038—0.051
FreTSLookback window length (L)=336, Prediction length (τ)=962023.110.038—0.052
Multi-Scale Residual-Aware Representation Learning PipelinePrediction Length (S)=96, Input Length=962026.060.0380.004—
PatchTSTLookback window length (L)=96, Prediction length (τ)=962023.110.039—0.052
PatchTSTLookback window length (L)=336, Prediction length (τ)=962023.110.039—0.053
LTSF-LinearLookback window length (L)=336, Prediction length (τ)=962023.110.04—0.055
FEDformerLookback window length (L)=96, Prediction length (τ)=962023.110.05—0.067
FreTSLookback window length (L)=96, Prediction length (τ)=1922023.110.05—0.067
FreTSLookback window length (L)=192, Prediction length (τ)=1922023.110.051—0.068
LTSF-LinearLookback window length (L)=96, Prediction length (τ)=1922023.110.052—0.069
PatchTSTLookback window length (L)=192, Prediction length (τ)=1922023.110.052—0.07
LTSF-LinearLookback window length (L)=192, Prediction length (τ)=1922023.110.053—0.07
FreTSLookback window length (L)=336, Prediction length (τ)=1922023.110.053—0.07
PatchTSTLookback window length (L)=96, Prediction length (τ)=1922023.110.055—0.074
PatchTSTLookback window length (L)=336, Prediction length (τ)=1922023.110.055—0.071
LTSF-LinearLookback window length (L)=336, Prediction length (τ)=1922023.110.055—0.072
InformerLookback window length (L)=96, Prediction length (τ)=1922023.110.058—0.088
FreTSLookback window length (L)=96, Prediction length (τ)=3362023.110.062—0.082
FEDformerLookback window length (L)=96, Prediction length (τ)=1922023.110.064—0.082
LTSF-LinearLookback window length (L)=96, Prediction length (τ)=3362023.110.064—0.085
AutoformerLookback window length (L)=96, Prediction length (τ)=962023.110.066—0.084
AutoformerLookback window length (L)=192, Prediction length (τ)=962023.110.066—0.085
FreTSLookback window length (L)=192, Prediction length (τ)=3362023.110.066—0.087
FEDformerLookback window length (L)=192, Prediction length (τ)=962023.110.067—0.086
PatchTSTLookback window length (L)=96, Prediction length (τ)=3362023.110.071—0.093
FreTSLookback window length (L)=336, Prediction length (τ)=3362023.110.071—0.092
PatchTSTLookback window length (L)=192, Prediction length (τ)=3362023.110.072—0.097
LTSF-LinearLookback window length (L)=192, Prediction length (τ)=3362023.110.073—0.096
PatchTSTLookback window length (L)=336, Prediction length (τ)=3362023.110.074—0.099
AutoformerLookback window length (L)=96, Prediction length (τ)=3362023.110.075—0.101
LTSF-LinearLookback window length (L)=336, Prediction length (τ)=3362023.110.077—0.1
FEDformerLookback window length (L)=96, Prediction length (τ)=3362023.110.08—0.105
FEDformerLookback window length (L)=192, Prediction length (τ)=1922023.110.08—0.101
AutoformerLookback window length (L)=192, Prediction length (τ)=1922023.110.08—0.102
FreTSLookback window length (L)=336, Prediction length (τ)=7202023.110.082—0.108
AutoformerLookback window length (L)=96, Prediction length (τ)=1922023.110.083—0.103
LTSF-LinearLookback window length (L)=336, Prediction length (τ)=7202023.110.087—0.11
FreTSLookback window length (L)=96, Prediction length (τ)=7202023.110.088—0.11
FreTSLookback window length (L)=192, Prediction length (τ)=7202023.110.088—0.11
FEDformerLookback window length (L)=336, Prediction length (τ)=962023.110.088—0.113
AutoformerLookback window length (L)=336, Prediction length (τ)=962023.110.088—0.11
LTSF-LinearLookback window length (L)=96, Prediction length (τ)=7202023.110.092—0.116
InformerLookback window length (L)=96, Prediction length (τ)=3362023.110.093—0.127
FEDformerLookback window length (L)=192, Prediction length (τ)=3362023.110.093—0.122
LTSF-LinearLookback window length (L)=192, Prediction length (τ)=7202023.110.098—0.122
AutoformerLookback window length (L)=192, Prediction length (τ)=3362023.110.099—0.129
PatchTSTLookback window length (L)=192, Prediction length (τ)=7202023.110.099—0.128
PatchTSTLookback window length (L)=336, Prediction length (τ)=7202023.110.1—0.129
FEDformerLookback window length (L)=336, Prediction length (τ)=1922023.110.103—0.133
AutoformerLookback window length (L)=336, Prediction length (τ)=1922023.110.104—0.133
InformerLookback window length (L)=96, Prediction length (τ)=962023.110.106—0.116
InformerLookback window length (L)=192, Prediction length (τ)=962023.110.109—0.131
InformerLookback window length (L)=96, Prediction length (τ)=7202023.110.117—0.17
ReformerLookback window length (L)=192, Prediction length (τ)=962023.110.123—0.143
FEDformerLookback window length (L)=336, Prediction length (τ)=3362023.110.123—0.155
ReformerLookback window length (L)=96, Prediction length (τ)=962023.110.126—0.146
AutoformerLookback window length (L)=336, Prediction length (τ)=3362023.110.127—0.159
ReformerLookback window length (L)=336, Prediction length (τ)=962023.110.128—0.148
PatchTSTLookback window length (L)=96, Prediction length (τ)=7202023.110.132—0.166
InformerLookback window length (L)=336, Prediction length (τ)=962023.110.137—0.169
ReformerLookback window length (L)=336, Prediction length (τ)=1922023.110.138—0.159
ReformerLookback window length (L)=192, Prediction length (τ)=1922023.110.139—0.161
InformerLookback window length (L)=192, Prediction length (τ)=3362023.110.141—0.177
InformerLookback window length (L)=192, Prediction length (τ)=1922023.110.144—0.172
ReformerLookback window length (L)=96, Prediction length (τ)=1922023.110.147—0.169
AutoformerLookback window length (L)=96, Prediction length (τ)=7202023.110.15—0.181
FEDformerLookback window length (L)=96, Prediction length (τ)=7202023.110.151—0.182
ReformerLookback window length (L)=192, Prediction length (τ)=3362023.110.155—0.181
InformerLookback window length (L)=336, Prediction length (τ)=3362023.110.156—0.193
ReformerLookback window length (L)=336, Prediction length (τ)=3362023.110.156—0.179
ReformerLookback window length (L)=96, Prediction length (τ)=3362023.110.157—0.189
ReformerLookback window length (L)=192, Prediction length (τ)=7202023.110.159—0.193
InformerLookback window length (L)=336, Prediction length (τ)=1922023.110.161—0.195
ReformerLookback window length (L)=96, Prediction length (τ)=7202023.110.166—0.201
ReformerLookback window length (L)=336, Prediction length (τ)=7202023.110.168—0.205
InformerLookback window length (L)=192, Prediction length (τ)=7202023.110.173—0.21
InformerLookback window length (L)=336, Prediction length (τ)=7202023.110.173—0.21
FEDformerLookback window length (L)=192, Prediction length (τ)=7202023.110.19—0.222
AutoformerLookback window length (L)=192, Prediction length (τ)=7202023.110.191—0.224
GPHTPrediction Length (S)=96, Input Length=962026.060.2060.086—
FEDformerLookback window length (L)=336, Prediction length (τ)=7202023.110.21—0.242
AutoformerLookback window length (L)=336, Prediction length (τ)=7202023.110.211—0.244
DLinearhyperparameter searching=true, prediction lengths={96, 192, 336, 720}2024.120.3780.297—
DLinear + xCPDBackbone=DLinear, Plugin=xCPD, Look-back horizon=96, Forecasting horizons={96, 192, 336, 720}2026.030.380.312—
DUETPrediction Length (S)=336, Input Length=962026.060.3920.294—
AttraosInput length=96, Prediction horizons={96, 192, 336, 720}2024.020.3950.349—
TSMixer + xCPDBackbone=TSMixer, Plugin=xCPD, Look-back horizon=512, Forecasting horizons={96, 192, 336, 720}2026.030.3960.349—
Peri-midFormerlook-back=96, prediction length=Avg2024.110.3980.355—
SIGMAInput length (L)=96, Prediction horizons (T)={96, 192, 336, 720}, Result aggregation=Averaged across horizons2026.050.40.353—
PatchTSTlook-back=96, prediction length=Avg2024.110.4010.359—
AMDInput length (L)=96, Prediction horizons (T)={96, 192, 336, 720}, Result aggregation=Averaged across horizons2026.050.4010.358—
CARDhyperparameter searching=true, prediction lengths={96, 192, 336, 720}2024.120.4020.36—
TSMixer + CCMBackbone=TSMixer, Plugin=CCM, Look-back horizon=512, Forecasting horizons={96, 192, 336, 720}2026.030.4020.355—
xPatchhyperparameter searching=true, prediction lengths={96, 192, 336, 720}2024.120.4040.366—
MICNhyperparameter searching=true, prediction lengths={96, 192, 336, 720}2024.120.4040.315—
Mamba4TSInput length=96, Prediction horizons={96, 192, 336, 720}, Time Embedding=true2024.020.4050.364—