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Long-term Time Series Forecasting on Exchange

0.08MSETCN
0.065280.164640.2640.36336Oct 2, 2024Jan 8, 2025Apr 16, 2025Jul 24, 2025Oct 30, 2025Feb 5, 2026May 15, 2026

Evaluation results

MethodLinks
TCNPrediction Length=962026.030.08——0.196—
Time-FFMLook-back window (L)=96, Prediction length (P)=96, Model Year=20242025.080.081——0.201—
FRWKV+Horizon=962026.050.081——0.198—
KANMixerLook-back window (L)=96, Prediction length (P)=96, Model Year=Ours2025.080.083——0.202—
Variable-Invariant Two-Dimensional State Space ModelPrediction Length=962026.030.085——0.204—
TimeProPrediction Length=962026.030.085——0.204—
ms-MambaForecast length (T)=96, Lookback length (L)=962025.040.086————
S-MambaForecast length (T)=96, Lookback length (L)=962025.040.086————
iTransformerForecast length (T)=96, Lookback length (L)=962025.040.086————
UniTimeHorizon=962026.050.086——0.209—
iTransformerHorizon=962026.050.086——0.206—
PatchTSTForecast length (T)=96, Lookback length (L)=962025.040.088————
DLinearForecast length (T)=96, Lookback length (L)=962025.040.088————
DLinearHorizon=962026.050.088——0.218—
PhaseFormerHorizon=962026.050.09——0.211—
RLinearForecast length (T)=96, Lookback length (L)=962025.040.093————
TiDEForecast length (T)=96, Lookback length (L)=962025.040.094————
FreTSHorizon=962026.050.094——0.223—
MP-FormerHorizon=962026.050.098——0.225—
SparseTSFHorizon=962024.100.105————
TimesNetForecast length (T)=96, Lookback length (L)=962025.040.107————
PatchTSTHorizon=962026.050.109——0.236—
FEDformerForecast length (T)=96, Lookback length (L)=962025.040.148————
Time-FFMLook-back window (L)=96, Prediction length (P)=192, Model Year=20242025.080.168——0.293—
FRWKV+Horizon=1922026.050.172——0.296—
KANMixerLook-back window (L)=96, Prediction length (P)=192, Model Year=Ours2025.080.174——0.297—
UniTimeHorizon=1922026.050.174——0.299—
PatchTSTForecast length (T)=192, Lookback length (L)=962025.040.176————
DLinearForecast length (T)=192, Lookback length (L)=962025.040.176————
DLinearHorizon=1922026.050.176——0.315—
iTransformerForecast length (T)=192, Lookback length (L)=962025.040.177————
iTransformerHorizon=1922026.050.177——0.299—
ms-MambaForecast length (T)=192, Lookback length (L)=962025.040.178————
S-MambaForecast length (T)=192, Lookback length (L)=962025.040.182————
RLinearForecast length (T)=192, Lookback length (L)=962025.040.184————
TiDEForecast length (T)=192, Lookback length (L)=962025.040.184————
PhaseFormerHorizon=1922026.050.184——0.308—
MP-FormerHorizon=1922026.050.195——0.32—
SparseTSFHorizon=1922024.100.196————
AutoformerForecast length (T)=96, Lookback length (L)=962025.040.197————
PatchTSTHorizon=1922026.050.205——0.327—
TimesNetForecast length (T)=192, Lookback length (L)=962025.040.226————
FreTSHorizon=1922026.050.235——0.357—
CrossformerForecast length (T)=96, Lookback length (L)=962025.040.256————
FEDformerForecast length (T)=192, Lookback length (L)=962025.040.271————
AutoformerForecast length (T)=192, Lookback length (L)=962025.040.3————
PatchTSTForecast length (T)=336, Lookback length (L)=962025.040.301————
Variable-Invariant Two-Dimensional State Space ModelPrediction Length=Avg2026.030.311——0.375—
DLinearForecast length (T)=336, Lookback length (L)=962025.040.313————
DLinearHorizon=3362026.050.313——0.427—
STAIRInput length=96, Prediction lengths={96, 192, 336, 720}2026.050.315——0.381—
FRWKV+Horizon=3362026.050.315——0.405—
UniTimeHorizon=3362026.050.319——0.408—
ms-MambaForecast length (T)=336, Lookback length (L)=962025.040.326————
iTransformerForecast length (T)=336, Lookback length (L)=962025.040.331————
iTransformerHorizon=3362026.050.331——0.417—
Time-Prompt2025.060.331——0.39—
S-MambaForecast length (T)=336, Lookback length (L)=962025.040.332————
DLinear2025.060.34——0.414—
PhaseFormerHorizon=3362026.050.346——0.428—
TiDEForecast length (T)=336, Lookback length (L)=962025.040.349————
MP-FormerHorizon=3362026.050.35——0.43—
RLinearForecast length (T)=336, Lookback length (L)=962025.040.351————
FRWKV+Horizon=Avg2026.050.352——0.397—
DLinearForecast length (T)=Avg, Lookback length (L)=962025.040.354————
DLinearInput length=96, Prediction lengths={96, 192, 336, 720}2026.050.354——0.414—
DLinearHorizon=Avg2026.050.354——0.414—
N-HiTSFramework=+APTF, Horizons=96, 192, 336, 7202026.020.356————
PatchTSTHorizon=3362026.050.356——0.436—
SparseTSFHorizon=3362024.100.358————
ms-MambaForecast length (T)=Avg, Lookback length (L)=962025.040.358————
iTransformerForecast length (T)=Avg, Lookback length (L)=962025.040.36————
iTransformerInput length=96, Prediction lengths={96, 192, 336, 720}2026.050.36——0.403—
iTransformerHorizon=Avg2026.050.36——0.403—
Time-LLM2025.060.361——0.403—
PhaseFormerHorizon=Avg2026.050.362——0.409—
UniTimeHorizon=Avg2026.050.364——0.404—
iTransformer2025.060.364——0.405—
PatchTSTInput length=96, Prediction lengths={96, 192, 336, 720}2026.050.366——0.404—
PatchTSTFramework=+APTF, Horizons=96, 192, 336, 7202026.020.367————
TimesNetForecast length (T)=336, Lookback length (L)=962025.040.367————
S-MambaForecast length (T)=Avg, Lookback length (L)=962025.040.367————
PatchTSTForecast length (T)=Avg, Lookback length (L)=962025.040.367————
NLinearFramework=+APTF, Horizons=96, 192, 336, 7202026.020.37————
TiDEForecast length (T)=Avg, Lookback length (L)=962025.040.37————
TiDEInput length=96, Prediction lengths={96, 192, 336, 720}2026.050.37——0.413—
TimeMixerFramework=+APTF, Horizons=96, 192, 336, 7202026.020.371————
PatchTSTFramework=Original, Horizons=96, 192, 336, 7202026.020.374————
NLinearFramework=Original, Horizons=96, 192, 336, 7202026.020.376————
RLinearForecast length (T)=Avg, Lookback length (L)=962025.040.378————
TimeMixerFramework=Original, Horizons=96, 192, 336, 7202026.020.381————
MP-FormerHorizon=Avg2026.050.383——0.423—
PatchTSTHorizon=Avg2026.050.39——0.429—
PatchTST2025.060.391——0.417—
N-HiTSFramework=Original, Horizons=96, 192, 336, 7202026.020.402————
TimesNetForecast length (T)=Avg, Lookback length (L)=962025.040.416————
TimesNetInput length=96, Prediction lengths={96, 192, 336, 720}2026.050.416——0.443—
TimesNet2025.060.425——0.447—
NSformerFramework=+APTF, Horizons=96, 192, 336, 7202026.020.444————
TimeCMA2025.060.448——0.451—