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Multivariate Time Series Forecasting on ETTm2

0.1131MSELi-Net
0.1102640.1294070.148550.167693May 30, 2023Dec 2, 2023Jun 6, 2024Dec 10, 2024Jun 14, 2025Dec 18, 2025Jun 23, 2026

Evaluation results

MethodLinks
Li-NetPrediction Length=962026.030.11310.2284
LeapTSInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1180.209
TimeMixerInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1180.212
AmplifierInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.120.212
PatchTSTInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.120.214
TimesFM2.5Horizon=24, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.120.22
FSAHorizon=24, Input sequence length=96, Training strategy=Once-trained (autoregressive step size 3)2026.050.1210.219
TimesFMHorizon=24, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.1220.215
iTransformerInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1230.217
TimesNetInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1260.22
AMDInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1270.226
DLinearInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1290.235
MICNForecast window length (H)=48, Lookback window length (T)=962023.050.1310.238
PatchTSTHorizon=24, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.1330.227
KooPAForecast window length (H)=48, Lookback window length (T)=962023.050.1340.226
PatchTSTForecast window length (H)=48, Lookback window length (T)=962023.050.1350.231
ChronosHorizon=24, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.1370.226
TimesNetForecast window length (H)=48, Lookback window length (T)=962023.050.1420.234
ITS-MinaHorizon=962026.040.143—
Li-NetPrediction Length=1922026.030.14360.2612
DLinearForecast window length (H)=48, Lookback window length (T)=962023.050.1440.24
FiLMForecast window length (H)=48, Lookback window length (T)=962023.050.1460.243
FATE2024.080.1510.221
SSCNNprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1580.236
SCNNprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1580.235
AltTSPrediction Horizon=962026.020.160.249
HPMixerHorizon=962026.020.160.228
OLinearPrediction Horizon=962026.020.1620.25
TSMixerInput length=96, Horizons=P ∈ {18, 24, 36, 48, 60}2026.050.1620.285
CycleNet/MLPPrediction Length=96, Look-back length (L)=962024.090.1630.246
RLinearPrediction Horizon=962026.020.1630.251
PathformerInput Length (H)=336, Prediction Length (F)=962024.020.1630.248
CycleNet/MLPHorizon=962026.020.1630.246
CI-TSMixer-BestPrediction Length=962023.060.1640.255
TimeMixerprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1640.241
CI-TSMixerHorizon=962026.040.164—
TimesFM2.5Horizon=48, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.1640.263
CI-TSMixer2024.080.1640.255
DLinearPrediction Horizon=962026.020.1650.256
PatchTSTHorizon=962026.040.165—
PatchTSTPrediction Length=962023.060.1660.256
PatchTSTPrediction Horizon=962026.020.1660.256
NPMixerHorizon=962026.050.1660.25
FSAHorizon=48, Input sequence length=96, Training strategy=Once-trained (autoregressive step size 3)2026.050.1660.256
PatchTST2024.080.1660.256
PatchTSTprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1670.24
DLinearprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1670.251
TimeBasePrediction Horizon=962026.020.1670.257
DLinearInput Length (H)=336, Prediction Length (F)=962024.020.1670.26
NLinearInput Length (H)=336, Prediction Length (F)=962024.020.1670.255
DLinearHorizon=962026.040.167—
DLinear2024.080.1670.26
Crossformerprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1680.244
PathformerInput Length (H)=192, Prediction Length (F)=962024.020.1690.25
PatchTSTInput Length (H)=192, Prediction Length (F)=962024.020.1690.254
PatchTSTInput Length (H)=192, Prediction Length (F)=962024.020.1690.254
PathformerInput Length (H)=192, Prediction Length (F)=962024.020.1690.25
GPHTHorizon (H)=96, Lookback Window (L)=336, Method Category=Ours, Training Protocol=Fine-tuned2024.020.170.25
DLinearHorizon (H)=96, Lookback Window (L)=336, Method Category=Supervised, Training Protocol=Standard2024.020.170.264
KooPAForecast window length (H)=96, Lookback window length (T)=1922023.050.1710.254
PatchTSTForecast window length (H)=96, Lookback window length (T)=1922023.050.1710.255
TimeXerHorizon=962026.020.1710.256
TimeXerHorizon=962026.050.1710.256
DLinearForecast window length (H)=96, Lookback window length (T)=1922023.050.1720.256
Li-NetPrediction Length=3362026.030.17230.2891
GG-SSMHorizon=962024.120.17250.2633
GPHTPortion=10%, Prediction Horizon=962024.020.1730.256
SimpleTMHorizon=962026.020.1730.257
SimpleTMHorizon=962026.050.1730.257
FiLMForecast window length (H)=96, Lookback window length (T)=1922023.050.1740.257
PatchMixerHorizon=962026.040.174—
iTransformerprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.1750.251
PatchTSTPrediction Length=962025.120.1750.259
PatchTSTHorizon=962026.020.1750.259
PatchTSTHorizon=962026.050.1750.259
PatchTSTHorizon=96, Lookback window=962026.060.1750.259
N-HITSInput Length (H)=336, Prediction Length (F)=962024.020.1760.255
TimeMixerHorizon=962026.020.1760.259
CrossGNNHorizon=962026.050.1760.266
TimeMixerHorizon=962026.050.1760.259
MinusformerInput Length=96, Prediction Length=962024.020.1770.259
iTransformerPrediction Horizon=962026.020.1780.272
TimeMixerPrediction Length=962026.030.17880.261
Db2-TransFPrediction Length=962025.120.1790.263
TimesNetprediction lengths S={3, 24, 96, 192, 336}, averaging=all prediction lengths2024.010.180.258
SOFTSLookback window length=96, Prediction length=962024.040.180.261
iTransformerLookback window length=96, Prediction length=962024.040.180.264
iTransformerPrediction Length=962025.120.180.264
iTransformerHorizon=962026.020.180.264
iTransformerHorizon=962026.040.18—
FEDformerHorizon=962026.040.18—
iTransformerHorizon=962026.050.180.264
iTransformerHorizon=96, Lookback window=962026.060.180.264
PathformerInput Length (H)=48, Prediction Length (F)=962024.020.1810.256
PathformerInput Length (H)=48, Prediction Length (F)=962024.020.1810.256
RLinearPrediction Length=962025.120.1820.265
PatchTSTPrediction Length=962026.030.1830.2717
TimesNetHorizon=962026.040.183—
FRESCO (mix)Horizon=96, Lookback window=962026.060.1830.288
FRESCO (plain)Horizon=96, Lookback window=962026.060.1840.289