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Multivariate Time Series Forecasting on Weather

0.087MSEPatchTST
0.081840.116670.15150.18633Jun 14, 2023Dec 15, 2023Jun 16, 2024Dec 17, 2024Jun 19, 2025Dec 20, 2025Jun 23, 2026

Evaluation results

MethodLinks
PatchTSTFL=24, Protocol=Representation Learning2023.060.087—
CI-TSMixer-BestFL=24, Protocol=Representation Learning2023.060.088—
PatchTSTFL=48, Protocol=Representation Learning2023.060.113—
CI-TSMixer-BestFL=48, Protocol=Representation Learning2023.060.114—
TimesFMHorizon=24, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.1190.145
FSAHorizon=24, Input sequence length=96, Training strategy=Once-trained (autoregressive step size 3)2026.050.120.159
PatchTSTHorizon=24, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.1210.16
TimesFM2.5Horizon=24, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.1230.156
ChronosHorizon=24, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.1230.155
KoopaForecast length (H)=48, Lookback length (T)=962025.060.1260.168
AltTSPrediction Horizon=962026.020.1440.195
PathformerInput Length (H)=336, Prediction Length (F)=962024.020.1440.184
DeepEDMPrediction Length=96, Lookback Setting=search2025.060.1450.183
CI-TSMixer-BestPrediction Length=962023.060.1460.197
OLinearPrediction Horizon=962026.020.1470.188
TimeMixerPrediction Length=96, Lookback Setting=search2025.060.1470.197
GG-SSMHorizon=962024.120.14730.1956
PatchTSTHorizon (H)=96, Lookback Window (L)=336, Method Category=Self-supervised, Training Protocol=Standard2024.020.1480.196
PatchTSTPrediction Length=962023.060.1490.198
PatchTSTPrediction Length=96, Lookback Setting=search2025.060.1490.198
PatchTSTPrediction Horizon=962026.020.150.205
TimeBasePrediction Horizon=962026.020.1510.204
PathformerInput Length (H)=192, Prediction Length (F)=962024.020.1520.189
PathformerInput Length (H)=192, Prediction Length (F)=962024.020.1520.189
FRESCO (mix)Horizon=96, Lookback window=962026.060.1530.232
GPHTHorizon (H)=96, Lookback Window (L)=336, Method Category=Ours, Training Protocol=Fine-tuned2024.020.1540.196
HPMixerHorizon=962026.020.1540.202
FRESCO (plain)Horizon=96, Lookback window=962026.060.1550.235
TimeXerHorizon=962026.020.1570.205
CycleNet/MLPPrediction Length=96, Look-back length (L)=962024.090.1580.203
CrossformerHorizon=962024.120.1580.23
CrossformerPrediction Length=962025.120.1580.23
N-HITSInput Length (H)=336, Prediction Length (F)=962024.020.1580.195
CycleNet/MLPHorizon=962026.020.1580.203
PatchTSTInput Length (H)=192, Prediction Length (F)=962024.020.160.205
SimpleTMHorizon=962026.020.1620.207
S-MambaHorizon=962024.120.1650.21
DB2-TransFPrediction Length=962025.120.1650.21
TimeMixerHorizon=962026.020.1650.212
SOFTSLookback window length=96, Prediction length=962024.040.1660.208
iTransformerPrediction Horizon=962026.020.1680.218
TimesFM2.5Horizon=48, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.1680.206
DLinearPrediction Horizon=962026.020.170.229
RLinearPrediction Horizon=962026.020.1710.223
TimesNetHorizon=962024.120.1720.22
TimesNetPrediction Length=962025.120.1720.22
TimesNetPrediction Length=96, Lookback Setting=search2025.060.1720.22
TimesNetHorizon=96, Lookback window=962026.060.1720.22
iTransformerHorizon=962024.120.1740.214
iTransformerPrediction Length=962025.120.1740.214
iTransformerHorizon=962026.020.1740.214
iTransformerHorizon=96, Lookback window=962026.060.1740.214
Li-NetPrediction Length=962026.030.17570.2407
DLinearInput Length (H)=336, Prediction Length (F)=962024.020.1760.237
CI-TSMixer-BestFL=168, Protocol=Representation Learning2023.060.177—
PatchTSTHorizon=962024.120.1770.218
PatchTSTPrediction Length=962025.120.1770.218
PatchTSTHorizon=962026.020.1770.218
FSAHorizon=48, Input sequence length=96, Training strategy=Once-trained (autoregressive step size 3)2026.050.1770.221
PatchTSTHorizon=96, Lookback window=962026.060.1770.218
TimeMixerPrediction Length=962026.030.17770.2526
PatchTSTFL=168, Protocol=Representation Learning2023.060.178—
PatchTSTPrediction Length=962026.030.1790.2444
NLinearInput Length (H)=336, Prediction Length (F)=962024.020.1820.232
PatchTSTHorizon=48, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.1840.223
PathformerInput Length (H)=48, Prediction Length (F)=962024.020.1880.223
PathformerInput Length (H)=48, Prediction Length (F)=962024.020.1880.223
PathformerInput Length (H)=336, Prediction Length (F)=1922024.020.1910.229
TimesFMHorizon=48, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.1910.213
TFTPrediction Length=962026.030.19170.2357
RLinearHorizon=962024.120.1920.232
AltTSPrediction Horizon=1922026.020.1920.241
RLinearPrediction Length=962025.120.1920.232
OLinearPrediction Horizon=1922026.020.1930.244
ChronosHorizon=48, Input sequence length=96, Training strategy=Separately trained for each horizon2026.050.1930.23
PatchTSTPrediction Horizon=1922026.020.1940.242
TimeBasePrediction Horizon=1922026.020.1950.248
DLinearHorizon=962024.120.1960.255
DLinearPrediction Length=962025.120.1960.255
FRESCO (plain)Horizon=192, Lookback window=962026.060.1960.277
FRESCO (mix)Horizon=192, Lookback window=962026.060.1970.278
PathformerInput Length (H)=192, Prediction Length (F)=1922024.020.1980.237
iTransformerPrediction Length=962026.030.19880.24
HPMixerHorizon=1922026.020.2010.245
TiDEHorizon=962024.120.2020.261
TiDEPrediction Length=962025.120.2020.261
PatchTSTInput Length (H)=192, Prediction Length (F)=1922024.020.2040.245
TimeXerHorizon=1922026.020.2040.247
CrossformerPrediction Length=1922025.120.2060.277
CycleNet/MLPHorizon=1922026.020.2070.247
SimpleTMHorizon=1922026.020.2080.248
TimeMixerHorizon=1922026.020.2090.253
iTransformerPrediction Horizon=1922026.020.210.255
N-HITSInput Length (H)=336, Prediction Length (F)=1922024.020.2110.247
interPDNPrediction Length=avg2025.110.2120.243
PatchTSTInput Length (H)=48, Prediction Length (F)=962024.020.2120.243
TCNPrediction Length=962026.030.21230.293
DLinearPrediction Horizon=1922026.020.2150.275
RLinearPrediction Horizon=1922026.020.2160.26
MoHETSProtocol=Full-shot, Prediction Horizons=H={96, 192, 336, 720}2026.010.2160.249