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Multivariate Time Series Forecasting on ECL

0.118MSESSCNN
0.107040.181020.2550.32898Oct 10, 2023Mar 19, 2024Aug 28, 2024Feb 6, 2025Jul 17, 2025Dec 26, 2025Jun 6, 2026

Evaluation results

MethodLinks
SSCNNprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1180.212
CycleNetForecast length (H)=48, Lookback length (T)=962025.060.120.215
iTransformerprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1210.216
TimeMixerprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1230.215
Crossformerprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1240.221
PatchTSTprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1250.219
SCNNprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1280.222
PAModHorizon=962026.050.1360.226
DLinearprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1410.236
SOFTSLookback window length=96, Prediction length=962024.040.1430.233
Timer-XLForecast Length=Avg, Lookback Length=6722025.080.1550.246
Timer-XLForecasting Length=Average, Input Length=672, Evaluation Protocol=Rolling forecasting2025.030.1550.246
MoHETSProtocol=Full-shot, Prediction Horizons=H={96, 192, 336, 720}2026.010.1580.251
HGTS-FormerForecast Length=Avg, Lookback Length=6722025.080.1590.25
RAFTForecasting horizon=Average over {96, 192, 336, 720}2026.040.160.259
CITRASForecasting Length=Average, Input Length=672, Evaluation Protocol=Rolling forecasting2025.030.160.253
PAMNetLookback length=96, Prediction horizons=H={96, 192, 336, 720}2026.050.1610.251
TimesNetprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1630.267
CRAFTForecasting horizon=Average over {96, 192, 336, 720}2026.040.1630.257
TQNetLookback length=96, Prediction horizons=H={96, 192, 336, 720}2026.050.1640.259
CDTLookback length (T)=96, Prediction length (S)={96, 192, 336, 720}2025.050.1650.258
GTRLookback length (T)=96, Prediction length (S)={96, 192, 336, 720}2025.050.1660.26
CycleNetLookback length=96, Prediction horizons=H={96, 192, 336, 720}2026.050.1680.259
TimeProLookback length (T)=96, Prediction length (S)={96, 192, 336, 720}2025.050.1690.262
S-MambaPrediction Length=Avg2026.060.1690.265
TimeXerProtocol=Full-shot, Prediction Horizons=H={96, 192, 336, 720}2026.010.1710.27
SPDMPrediction Length=Avg2026.060.1710.266
DistDFLookback length (T)=96, Prediction length (S)={96, 192, 336, 720}2025.050.1720.267
FISformerPrediction Lengths={96, 192, 336, 720}2026.030.1720.262
AmplifierLookback length=96, Prediction horizons=H={96, 192, 336, 720}2026.050.1720.266
DIFF TransformerAggregation=Avg., Backbone=iTransformer2025.090.1730.265
SOFTSLookback window length=96, Prediction length=Average2024.040.1740.264
SOFTSProtocol=Full-shot, Prediction Horizons=H={96, 192, 336, 720}2026.010.1740.264
Prime Attn.Aggregation=Avg.2025.090.1750.266
iTransformerLookback length (T)=96, Prediction length (S)=96, 192, 336, 7202023.100.1780.27
iTransformerProtocol=Full-shot, Prediction Horizons=H={96, 192, 336, 720}2026.010.1780.27
iTransformerLookback length (T)=96, Prediction length (S)={96, 192, 336, 720}2025.050.1780.27
iTransformerPrediction Lengths={96, 192, 336, 720}2026.030.1780.27
iTransformerHorizon=Avg2026.050.1780.27
iTransformerLookback length=96, Prediction horizons=H={96, 192, 336, 720}2026.050.1780.27
FilterTSLookback length=96, Prediction horizons=H={96, 192, 336, 720}2026.050.180.272
NumerionLookback length (T)=96, Prediction length (S)={96, 192, 336, 720}2025.050.1810.267
TimeMixerProtocol=Full-shot, Prediction Horizons=H={96, 192, 336, 720}2026.010.1820.272
TimeMixerForecasting horizon=Average over {96, 192, 336, 720}2026.040.1820.273
TimeMixerLookback length=96, Prediction horizons=H={96, 192, 336, 720}2026.050.1820.272
TFPSLookback length (T)=96, Prediction length (S)={96, 192, 336, 720}2025.050.1830.28
Timer-XLForecasting Length=720, Input Length=672, Evaluation Protocol=Rolling forecasting2025.030.1870.277
Autoformerprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1910.308
TimesNetLookback length (T)=96, Prediction length (S)=96, 192, 336, 7202023.100.1920.295
TimesNetProtocol=Full-shot, Prediction Horizons=H={96, 192, 336, 720}2026.010.1920.295
TimesNetLookback length (T)=96, Prediction length (S)={96, 192, 336, 720}2025.050.1920.295
StationaryLookback length (T)=96, Prediction length (S)=96, 192, 336, 7202023.100.1930.296
TimesNetForecasting horizon=Average over {96, 192, 336, 720}2026.040.1930.304
StationaryForecasting horizon=Average over {96, 192, 336, 720}2026.040.1930.296
TimesNetLookback length=96, Prediction horizons=H={96, 192, 336, 720}2026.050.1930.295
LIFTAggregation=Avg.2025.090.1930.278
SEMPOLookback length (T)=96, Prediction length (S)={96, 192, 336, 720}2025.050.1960.295
MICNForecasting horizon=Average over {96, 192, 336, 720}2026.040.1960.309
PatchTSTLookback length (T)=96, Prediction length (S)=96, 192, 336, 7202023.100.2050.29
PatchTSTProtocol=Full-shot, Prediction Horizons=H={96, 192, 336, 720}2026.010.2050.29
PatchTSTLookback length (T)=96, Prediction length (S)={96, 192, 336, 720}2025.050.2050.29
PatchTSTLookback length=96, Prediction horizons=H={96, 192, 336, 720}2026.050.2050.29
DLinearLookback length (T)=96, Prediction length (S)=96, 192, 336, 7202023.100.2120.3
DLinearProtocol=Full-shot, Prediction Horizons=H={96, 192, 336, 720}2026.010.2120.3
DLinearLookback length (T)=96, Prediction length (S)={96, 192, 336, 720}2025.050.2120.3
DLinearLookback length=96, Prediction horizons=H={96, 192, 336, 720}2026.050.2120.3
FEDformerLookback length (T)=96, Prediction length (S)=96, 192, 336, 7202023.100.2140.327
FEDformerProtocol=Full-shot, Prediction Horizons=H={96, 192, 336, 720}2026.010.2140.327
FEDformerLookback length (T)=96, Prediction length (S)={96, 192, 336, 720}2025.050.2140.327
FedformerPrediction Lengths={96, 192, 336, 720}2026.030.2140.327
PatchTSTForecasting horizon=Average over {96, 192, 336, 720}2026.040.2160.318
RLinearLookback length (T)=96, Prediction length (S)=96, 192, 336, 7202023.100.2190.298
RLinearLookback length (T)=96, Prediction length (S)={96, 192, 336, 720}2025.050.2190.298
DLinearForecasting horizon=Average over {96, 192, 336, 720}2026.040.2250.319
AutoformerLookback length (T)=96, Prediction length (S)=96, 192, 336, 7202023.100.2270.338
AutoformerLookback length (T)=96, Prediction length (S)={96, 192, 336, 720}2025.050.2270.338
AutoformerPrediction Lengths={96, 192, 336, 720}2026.030.2270.338
AutoformerForecasting horizon=Average over {96, 192, 336, 720}2026.040.2270.364
AutoformerAggregation=Avg.2025.090.2270.338
CrossformerLookback length (T)=96, Prediction length (S)=96, 192, 336, 7202023.100.2440.334
CrossformerProtocol=Full-shot, Prediction Horizons=H={96, 192, 336, 720}2026.010.2440.334
CrossformerLookback length (T)=96, Prediction length (S)={96, 192, 336, 720}2025.050.2440.334
CrossformerPrediction Lengths={96, 192, 336, 720}2026.030.2440.334
PatchTSTHorizon=7202026.050.2460.324
TiDELookback length (T)=96, Prediction length (S)=96, 192, 336, 7202023.100.2510.344
TiDEProtocol=Full-shot, Prediction Horizons=H={96, 192, 336, 720}2026.010.2510.344
TiDELookback length (T)=96, Prediction length (S)={96, 192, 336, 720}2025.050.2510.344
SCINetLookback length (T)=96, Prediction length (S)=96, 192, 336, 7202023.100.2680.365
InformerPrediction Lengths={96, 192, 336, 720}2026.030.3920.448