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Multivariate Time Series Forecasting on ETTh2

0.1641MSELi-Net
0.1555840.2130670.270550.328033Feb 4, 2024Jun 25, 2024Nov 14, 2024Apr 5, 2025Aug 25, 2025Jan 14, 2026Jun 6, 2026

Evaluation results

MethodLinks
Li-NetPrediction Length=962026.030.16410.282
TimesFM2.5Horizon=24, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.1930.286
Li-NetPrediction Length=1922026.030.19450.3092
FSAHorizon=24, Input sequence length=96, Training strategy=Once-trained (autoregressive step size 3)2026.050.1980.286
Li-NetPrediction Length=3362026.030.20280.3233
PatchTSTHorizon=24, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.2220.3
ITS-MinaHorizon=962026.040.223—
PatchMixerHorizon=962026.040.225—
DeepEDMForecast length (H)=48, Lookback length (T)=962025.060.2250.288
TimesFMHorizon=24, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.2310.311
ChronosHorizon=24, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.2320.301
Li-NetPrediction Length=7202026.030.24080.3553
TimesFM2.5Horizon=48, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.2510.322
FSAHorizon=48, Input sequence length=96, Training strategy=Once-trained (autoregressive step size 3)2026.050.2560.322
N-HITSInput Length (H)=336, Prediction Length (F)=962024.020.2740.345
PatchMixerHorizon=1922026.040.274—
PatchTSTHorizon=962026.040.274—
PathformerInput Length (H)=336, Prediction Length (F)=962024.020.2760.334
ITS-MinaHorizon=1922026.040.276—
CI-TSMixerHorizon=962026.040.276—
NLinearInput Length (H)=336, Prediction Length (F)=962024.020.2770.338
PathformerInput Length (H)=192, Prediction Length (F)=962024.020.2830.334
PatchTSTInput Length (H)=192, Prediction Length (F)=962024.020.2850.34
TimeMixerPrediction Length=962026.030.28880.3406
DLinearInput Length (H)=336, Prediction Length (F)=962024.020.2890.353
DLinearHorizon=962026.040.289—
PathformerInput Length (H)=48, Prediction Length (F)=962024.020.2950.335
PatchTSTPrediction Length=962026.030.2960.3523
iTransformerHorizon=962026.040.297—
iTransformerPrediction Length=962026.030.29890.349
ITS-MinaHorizon=3362026.040.301—
PatchTSTInput Length (H)=48, Prediction Length (F)=962024.020.3070.348
FSAHorizon=96, Input sequence length=96, Training strategy=Once-trained (autoregressive step size 3)2026.050.3120.355
TimeMixerPrediction Length=Avg, Lookback Setting=search2025.060.3160.384
PatchMixerHorizon=3362026.040.317—
PatchTSTHorizon=48, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.3190.351
ReinPatchTraining Mode=end-to-end, Horizons=H ∈ {96, 192, 336, 720}2026.030.3230.378
ReinPatchTraining Mode=foundation, Horizons=H ∈ {96, 192, 336, 720}2026.030.3230.377
PathformerInput Length (H)=336, Prediction Length (F)=3362024.020.3240.377
ITS-MinaHorizon=7202026.040.327—
PathformerInput Length (H)=336, Prediction Length (F)=1922024.020.3290.372
CI-TSMixerHorizon=1922026.040.33—
TimesFM2.5Horizon=96, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.330.372
Selective PatchingHorizons=H ∈ {96, 192, 336, 720}2026.030.3310.384
PatchTSTHorizon=3362026.040.331—
PathformerInput Length (H)=192, Prediction Length (F)=3362024.020.3320.374
FEDformerHorizon=962026.040.332—
AutoformerHorizon=962026.040.332—
FITSForecast length (H)=192, Lookback length (T)=3842025.060.3340.376
ModernTCNForecasting Length=Average, Input Length=672, Evaluation Protocol=Rolling forecasting2025.030.3360.388
Static PatchingHorizons=H ∈ {96, 192, 336, 720}2026.030.3370.385
Periodic PatchingHorizons=H ∈ {96, 192, 336, 720}2026.030.3380.387
TimeSqueeze’s CompressionHorizons=H ∈ {96, 192, 336, 720}2026.030.3380.388
Entropy PatchingHorizons=H ∈ {96, 192, 336, 720}2026.030.3390.389
PatchTSTHorizon=1922026.040.339—
FITSForecasting Length=Average, Input Length=672, Evaluation Protocol=Rolling forecasting2025.030.3390.386
H-Net’s ChunkingHorizons=H ∈ {96, 192, 336, 720}2026.030.340.39
CRAFTForecasting horizon=Average over {96, 192, 336, 720}2026.040.340.39
TimesNetHorizon=962026.040.34—
SARAFHorizon=Avg, Look-back window=7202026.060.340.392
DeepEDMPrediction Length=Avg, Lookback Setting=search2025.060.3410.381
PathformerInput Length (H)=192, Prediction Length (F)=1922024.020.3430.374
NLinearInput Length (H)=336, Prediction Length (F)=1922024.020.3440.381
ChronosHorizon=48, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.3460.364
TimesFMHorizon=48, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.3470.376
MICNHorizon=962026.040.349—
IsterPrediction length S={96, 192, 336, 720}, Look-back length T=962024.120.3490.387
PatchTSTInput Length (H)=192, Prediction Length (F)=3362024.020.3510.396
N-HITSInput Length (H)=336, Prediction Length (F)=1922024.020.3530.401
SimpleTMHorizon=Avg2026.050.3530.391
CycleNetHorizon=Avg, Look-back window=7202026.060.3530.398
PatchTSTInput Length (H)=192, Prediction Length (F)=1922024.020.3560.387
NLinearInput Length (H)=336, Prediction Length (F)=3362024.020.3570.4
CI-TSMixerHorizon=3362026.040.357—
RAFTForecasting horizon=Average over {96, 192, 336, 720}2026.040.3590.409
SSformerPrediction Horizon=Avg, Look-back length=962026.060.3590.389
CITRASForecasting Length=Average, Input Length=672, Evaluation Protocol=Rolling forecasting2025.030.3590.405
AOSNETPrediction Horizon=Avg, Look-back length=962026.060.360.387
NPMixerHorizon=Avg2026.050.3610.393
PULSElook-back window=962026.050.3610.391
TFTPrediction Length=962026.030.3620.3784
TimeMixerForecasting horizon=Average over {96, 192, 336, 720}2026.040.3640.395
TimeMixerLookback length=96, Prediction horizons=H={96, 192, 336, 720}2026.050.3640.395
CFPTlook-back window=962026.050.3640.393
FreqMoE2026.050.3640.395
PathformerInput Length (H)=336, Prediction Length (F)=7202024.020.3660.41
PathformerInput Length (H)=48, Prediction Length (F)=1922024.020.3660.381
TimeSAFLookback length (T)=96, Prediction length (H)={96, 192, 336, 720}2026.040.3670.394
SPDMPrediction Length=Avg2026.060.3670.398
PathformerInput Length (H)=48, Prediction Length (F)=3362024.020.3680.39
TimeXerPrediction length S={96, 192, 336, 720}, Look-back length T=962024.120.3680.396
TimeXerlook-back window=962026.050.3680.396
Dynamic TMoE2026.050.3680.398
TSLANet2026.050.3680.399
CALFLookback length (T)=96, Prediction length (H)={96, 192, 336, 720}2026.040.3710.394
PAMNetLookback length=96, Prediction horizons=H={96, 192, 336, 720}2026.050.3740.393
TimeExpert2026.050.3740.404
FilterTSLookback length=96, Prediction horizons=H={96, 192, 336, 720}2026.050.3750.398
PatchTSTPrediction Length=1922026.030.3770.3993
UniTimeLookback length (T)=96, Prediction length (H)={96, 192, 336, 720}2026.040.3770.402