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Long-term Forecasting on Exchange

0.15MSEDLinear + xCPD
0.091240.487870.88451.28113Jun 6, 2024Oct 4, 2024Feb 1, 2025Jun 2, 2025Sep 30, 2025Jan 28, 2026May 29, 2026

Evaluation results

MethodLinks
DLinear + xCPDBackbone=DLinear, Forecasting Horizon=1922026.030.150.283—
FEDPMType=FL-FM, Few-shot training ratio=5%, Forecasting Horizons=Fi in {96, 192, 336, 720}2026.040.1550.293—
FL-iTransformerType=FL-FM, Few-shot training ratio=5%, Forecasting Horizons=Fi in {96, 192, 336, 720}2026.040.1650.29—
Time-FFMType=FL-FM, Few-shot training ratio=5%, Forecasting Horizons=Fi in {96, 192, 336, 720}2026.040.1670.289—
Cen-PatchTSTType=Cen-FM, Few-shot training ratio=5%, Forecasting Horizons=Fi in {96, 192, 336, 720}2026.040.1720.294—
TSMixer + xCPDBackbone=TSMixer, Forecasting Horizon=1922026.030.1730.296—
FL-PatchTSTType=FL-FM, Few-shot training ratio=5%, Forecasting Horizons=Fi in {96, 192, 336, 720}2026.040.180.304—
FEDPMType=FL-FM, Few-shot training ratio=10%, Forecasting Horizons=Fi in {96, 192, 336, 720}2026.040.1850.319—
FFTSType=FL-FM, Few-shot training ratio=5%, Forecasting Horizons=Fi in {96, 192, 336, 720}2026.040.1880.311—
FL-PatchTSTType=FL-FM, Few-shot training ratio=10%, Forecasting Horizons=Fi in {96, 192, 336, 720}2026.040.2040.312—
UniTimeType=Cen-FM, Few-shot training ratio=10%, Forecasting Horizons=Fi in {96, 192, 336, 720}2026.040.220.331—
Cen-PatchTSTType=Cen-FM, Few-shot training ratio=10%, Forecasting Horizons=Fi in {96, 192, 336, 720}2026.040.220.33—
Time-FFMType=FL-FM, Few-shot training ratio=10%, Forecasting Horizons=Fi in {96, 192, 336, 720}2026.040.230.337—
FFTSType=FL-FM, Few-shot training ratio=10%, Forecasting Horizons=Fi in {96, 192, 336, 720}2026.040.2420.35—
FL-iTransformerType=FL-FM, Few-shot training ratio=10%, Forecasting Horizons=Fi in {96, 192, 336, 720}2026.040.2770.372—
TCNYear=2024, Average over horizons=True2024.060.3020.366—
ChimeraAverage over horizons=True2024.060.3110.358—
MICNLookback window (L)=96, Prediction lengths (T)={96, 192, 336, 720}2024.120.3150.404—
Fredformer2026.010.3330.391—
TOTEMType=Cen-FM, Few-shot training ratio=10%, Forecasting Horizons=Fi in {96, 192, 336, 720}2026.040.340.464—
vLinear2026.010.3410.391—
MAS4TSRelease Year=Ours, Prediction Lengths={96, 192, 336, 720}2026.020.3430.397—
MICNInput Length=962026.050.3450.424—
Peri-midFormerForecast lengths={96, 192, 336, 720}, Look-back window=642024.110.3460.393—
SIGMAInput Length=962026.050.3530.4—
DLinearLookback window (L)=96, Prediction lengths (T)={96, 192, 336, 720}2024.120.3540.414—
DLinearRelease Year=2023, Prediction Lengths={96, 192, 336, 720}2026.020.3540.414—
DLinearYear=2023, Average over horizons=True2024.060.3540.414—
TimeVLMRelease Year=2025, Prediction Lengths={96, 192, 336, 720}2026.020.3550.399—
OLinear2026.010.3550.399—
AMDInput Length=962026.050.3580.401—
CARDLookback window (L)=96, Prediction lengths (T)={96, 192, 336, 720}2024.120.360.402—
iTransformerLookback window (L)=96, Prediction lengths (T)={96, 192, 336, 720}2024.120.360.403—
iTransformerRelease Year=2024b, Prediction Lengths={96, 192, 336, 720}2026.020.360.403—
iTransformerYear=2024, Average over horizons=True2024.060.360.403—
PatchTSTLookback window (L)=96, Prediction lengths (T)={96, 192, 336, 720}2024.120.3640.4—
TSLANetForecast lengths={96, 192, 336, 720}, Look-back window=642024.110.3650.41—
PatchTSTRelease Year=2023b, Prediction Lengths={96, 192, 336, 720}2026.020.3670.404—
PatchTSTYear=2023, Average over horizons=True2024.060.3670.404—
TiDERelease Year=2023, Prediction Lengths={96, 192, 336, 720}2026.020.370.413—
TiDEYear=2023, Average over horizons=True2024.060.370.413—
Time-LLMForecast lengths={96, 192, 336, 720}, Look-back window=642024.110.3710.409—
GPT4TSForecast lengths={96, 192, 336, 720}, Look-back window=642024.110.3730.41—
xPatchLookback window (L)=96, Prediction lengths (T)={96, 192, 336, 720}2024.120.3750.408—
WPMixerInput Length=962026.050.3760.408—
RLinearYear=2023, Average over horizons=True2024.060.3780.417—
RLinearLookback window (L)=96, Prediction lengths (T)={96, 192, 336, 720}2024.120.380.41—
TimeMixerInput Length=962026.050.3840.414—
MultiPatch.Input Length=962026.050.3870.419—
FITSForecast lengths={96, 192, 336, 720}, Look-back window=642024.110.3930.429—
MAFSRelease Year=2025, Prediction Lengths={96, 192, 336, 720}2026.020.3960.417—
TimeMixerLookback window (L)=96, Prediction lengths (T)={96, 192, 336, 720}2024.120.4080.422—
ETSformerLookback window (L)=96, Prediction lengths (T)={96, 192, 336, 720}2024.120.410.427—
TimesNetLookback window (L)=96, Prediction lengths (T)={96, 192, 336, 720}2024.120.4160.443—
TimesNetRelease Year=2023a, Prediction Lengths={96, 192, 336, 720}2026.020.4160.443—
TimesNetYear=2023, Average over horizons=True2024.060.4160.443—
TimesNetInput Length=962026.050.4160.443—
PatchTSTForecast lengths={96, 192, 336, 720}, Look-back window=642024.110.4180.433—
MSGNetInput Length=962026.050.4310.446—
UniTimeType=Cen-FM, Few-shot training ratio=5%, Forecasting Horizons=Fi in {96, 192, 336, 720}2026.040.4420.493—
TSM2Year=2024, Average over horizons=True2024.060.443——
StationaryRelease Year=2022c, Prediction Lengths={96, 192, 336, 720}2026.020.4610.454—
UniTimeRelease Year=2024a, Prediction Lengths={96, 192, 336, 720}2026.020.4650.462—
DLinearForecast lengths={96, 192, 336, 720}, Look-back window=642024.110.4950.493—
FEDformerRelease Year=2022, Prediction Lengths={96, 192, 336, 720}2026.020.5190.429—
AutoformerRelease Year=2021, Prediction Lengths={96, 192, 336, 720}2026.020.6130.539—
TimesNetForecast lengths={96, 192, 336, 720}, Look-back window=642024.110.7010.593—
SCINetRelease Year=2022a, Prediction Lengths={96, 192, 336, 720}2026.020.750.626—
CrossformerRelease Year=2023, Prediction Lengths={96, 192, 336, 720}2026.020.940.707—
CrossformerYear=2023, Average over horizons=True2024.060.940.707—
PyraformerForecast lengths={96, 192, 336, 720}, Look-back window=642024.111.1570.844—
Pyra.Input Length=962026.051.1810.854—
TOTEMType=Cen-FM, Few-shot training ratio=5%, Forecasting Horizons=Fi in {96, 192, 336, 720}2026.041.6191.026—
CATSFramework=+APTF2026.02——0.364
CATSFramework=Original2026.02——0.376
ModernTCNFramework=+APTF2026.02——0.369
ModernTCNFramework=Original2026.02——0.38
TimeXerFramework=+APTF2026.02——0.378
TimeXerFramework=Original2026.02——0.388