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Time Series Imputation on Weather (MSE, MAE)

0.014MAEMSTN-Transformer
0.009040.042520.0760.10948Feb 23, 2023Sep 16, 2023Apr 8, 2024Oct 30, 2024May 23, 2025Dec 14, 2025Jul 8, 2026

Evaluation results

MethodLinks
MSTN-TransformerMask R.=12.5%2025.110.0140.005
MSTN-BiLSTMMask R.=12.5%2025.110.0170.007
Bridge-TS-2Ratio=12.5%2025.120.0330.023
MSTN-TransformerMask R.=Avg2025.110.0330.015
ZEUSProtocol=Zero-shot, Masking Strategy=Random2026.070.0350.03
MSTN-BiLSTMMask R.=Avg2025.110.0380.018
Peri-midFormerMask Ratio=Avg2024.110.0390.028
Bridge-TS-2Ratio=25.0%2025.120.0390.026
CSDIPoint Missing Ratio=Avg2026.020.0420.084
CSDIScenario=Point missing, Missing Ratios=0.1, 0.3, 0.5, 0.7 (avg), Sequence Length=962026.020.0420.084
ZEUSProtocol=Zero-shot, Masking Strategy=Block2026.070.0420.036
T1Point Missing Ratio=Avg2026.020.0450.029
SaitsPoint Missing Ratio=Avg2026.020.0450.034
T1Scenario=Point missing, Missing Ratios=0.1, 0.3, 0.5, 0.7 (avg), Sequence Length=962026.020.0450.029
SAITSScenario=Point missing, Missing Ratios=0.1, 0.3, 0.5, 0.7 (avg), Sequence Length=962026.020.0450.034
Bridge-TS-2Ratio=37.5%2025.120.0460.029
Non-stationaryRatio=12.5%2025.120.0480.026
XCTFormermasking ratios=Average of 12.5%, 25%, 37.5%, 50%, time series length=10242026.050.0490.032
Bridge-TS-2Ratio=50.0%2025.120.0510.033
TimesNetRatio=12.5%2025.120.0530.027
ImputeFormerScenario=Point missing, Missing Ratios=0.1, 0.3, 0.5, 0.7 (avg), Sequence Length=962026.020.0530.042
TimesNetMask Ratio=Avg2024.110.0540.03
Non-stationaryRatio=25.0%2025.120.0540.029
TimesNetSequence Length=96, Mask Ratios=12.5%, 25%, 37.5%, 50%2023.020.0540.03
GTMAveraging=varying data missing ratios, Protocol=point-wise missing ratios2025.020.0540.03
TimesNetAveraging=varying data missing ratios, Protocol=point-wise missing ratios2025.020.0540.03
TimesNetRatio=25.0%2025.120.0550.029
TimeMixer++Scenario=Point missing, Missing Ratios=0.1, 0.3, 0.5, 0.7 (avg), Sequence Length=962026.020.0550.034
PatchTSTSequence Length=96, Mask Ratios=12.5%, 25%, 37.5%, 50%2023.020.0550.034
GPT4TSMask Ratio=Avg2024.110.0560.031
GPT2(3)Number of Layers=3, Sequence Length=96, Mask Ratios=12.5%, 25%, 37.5%, 50%2023.020.0560.031
GPT4TSAveraging=varying data missing ratios, Protocol=point-wise missing ratios2025.020.0560.031
AutoformerSequence Length=96, Mask Ratios=12.5%, 25%, 37.5%, 50%2023.020.0570.031
StationarySequence Length=96, Mask Ratios=12.5%, 25%, 37.5%, 50%2023.020.0590.032
StationaryMask R.=Avg2025.110.0590.032
Non-stationaryRatio=37.5%2025.120.0610.033
TimesNetRatio=37.5%2025.120.0620.033
Helix+ALER-TImissing rate (r)=0.5, Average sequence length L={96, 192, 336, 720}2026.070.062—
TimesNetRatio=50.0%2025.120.0640.035
ModernTCNProtocol=Supervised, Masking Strategy=Random2026.070.0640.034
PatchTSTProtocol=Supervised, Masking Strategy=Random2026.070.0640.036
TimesNetProtocol=Supervised, Masking Strategy=Random2026.070.0670.034
Helixmissing rate (r)=0.5, Average sequence length L={96, 192, 336, 720}2026.070.067—
PatchTSTScenario=Point missing, Missing Ratios=0.1, 0.3, 0.5, 0.7 (avg), Sequence Length=962026.020.0690.037
MAS4TSMasking Ratio=Average (12.5%, 25%, 37.5%, 50%), Publication Year=20242026.020.070.036
Non-stationaryRatio=50.0%2025.120.0710.039
ModernTCNScenario=Point missing, Missing Ratios=0.1, 0.3, 0.5, 0.7 (avg), Sequence Length=962026.020.0720.038
PSW-IScenario=Point missing, Missing Ratios=0.1, 0.3, 0.5, 0.7 (avg), Sequence Length=962026.020.0720.107
GPT4TSProtocol=Supervised, Masking Strategy=Random2026.070.0720.036
TimeMixer++2025.080.0780.049
TimeMixer++masking ratios=Average of 12.5%, 25%, 37.5%, 50%, time series length=10242026.050.0780.049
TimesNetScenario=Point missing, Missing Ratios=0.1, 0.3, 0.5, 0.7 (avg), Sequence Length=962026.020.0790.04
PatchTSTMasked Patch=1, Sequence length=192, Patch length=242025.120.0810.061
TimesNetProtocol=Supervised, Masking Strategy=Block2026.070.0820.043
DLinearScenario=Point missing, Missing Ratios=0.1, 0.3, 0.5, 0.7 (avg), Sequence Length=962026.020.0840.044
GPT4TSProtocol=Supervised, Masking Strategy=Block2026.070.0840.044
ModernTCNProtocol=Supervised, Masking Strategy=Block2026.070.0850.046
PatchTSTProtocol=Supervised, Masking Strategy=Block2026.070.0850.051
ReformerMasking Ratio=Average (12.5%, 25%, 37.5%, 50%), Publication Year=20202026.020.0870.038
ReformerSequence Length=96, Mask Ratios=12.5%, 25%, 37.5%, 50%2023.020.0870.038
HGTS-Former2025.080.0910.045
TimePerceiverMasked Patch=1, Sequence length=192, Patch length=242025.120.0930.066
DlinearRatio=12.5%2025.120.0940.042
iTransformerMasked Patch=1, Sequence length=192, Patch length=242025.120.0940.066
TimesNet2025.080.0980.061
TimesNetmasking ratios=Average of 12.5%, 25%, 37.5%, 50%, time series length=10242026.050.0980.061
FEDformerRatio=12.5%2025.120.1020.042
PatchTSTMasked Patch=2, Sequence length=192, Patch length=242025.120.1020.069
iTransformer2025.080.1020.095
iTransformermasking ratios=Average of 12.5%, 25%, 37.5%, 50%, time series length=10242026.050.1020.095
InformerMasking Ratio=Average (12.5%, 25%, 37.5%, 50%), Publication Year=20212026.020.1040.045
TimesNetMasked Patch=1, Sequence length=192, Patch length=242025.120.1040.072
InformerSequence Length=96, Mask Ratios=12.5%, 25%, 37.5%, 50%2023.020.1040.045
InformerAveraging=varying data missing ratios, Protocol=point-wise missing ratios2025.020.1040.045
DLinear2025.080.1070.071
DLinearmasking ratios=Average of 12.5%, 25%, 37.5%, 50%, time series length=10242026.050.1070.071
Autoformermasking ratios=Average of 12.5%, 25%, 37.5%, 50%, time series length=10242026.050.1070.066
LSSLMasking Ratio=Average (12.5%, 25%, 37.5%, 50%), Publication Year=20222026.020.1080.045
TimePerceiverMasked Patch=2, Sequence length=192, Patch length=242025.120.1090.078
iTransformerMasked Patch=2, Sequence length=192, Patch length=242025.120.1090.073
DLinearMasking Ratio=Average (12.5%, 25%, 37.5%, 50%), Publication Year=20232026.020.110.052
DLinearSequence Length=96, Mask Ratios=12.5%, 25%, 37.5%, 50%2023.020.110.052
DLinearAveraging=varying data missing ratios, Protocol=point-wise missing ratios2025.020.110.052
Crossformer2025.080.1110.15
Crossformermasking ratios=Average of 12.5%, 25%, 37.5%, 50%, time series length=10242026.050.1110.15
TimeMixer2025.080.1140.091
TimeMixermasking ratios=Average of 12.5%, 25%, 37.5%, 50%, time series length=10242026.050.1140.091
iTransformerRatio=12.5%2025.120.1160.056
DlinearRatio=25.0%2025.120.1160.053
LightTSMasking Ratio=Average (12.5%, 25%, 37.5%, 50%), Publication Year=20222026.020.1170.055
BRITSScenario=Point missing, Missing Ratios=0.1, 0.3, 0.5, 0.7 (avg), Sequence Length=962026.020.1170.112
LightTSSequence Length=96, Mask Ratios=12.5%, 25%, 37.5%, 50%2023.020.1170.055
DlinearRatio=37.5%2025.120.1250.059
TimesNetMasked Patch=2, Sequence length=192, Patch length=242025.120.1260.09
MICN2025.080.1260.075
MICNmasking ratios=Average of 12.5%, 25%, 37.5%, 50%, time series length=10242026.050.1260.075
TIDE2025.080.1310.063
TiDEmasking ratios=Average of 12.5%, 25%, 37.5%, 50%, time series length=10242026.050.1310.063
FEDformerRatio=25.0%2025.120.1380.06
iTransformerScenario=Point missing, Missing Ratios=0.1, 0.3, 0.5, 0.7 (avg), Sequence Length=962026.020.1380.09