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Heat

Benchmarks

Task NameDataset NameSOTA ResultTrend
Regressionheat
MAE0.004
12
Regressionheat
R20.9992
12
Regressionheat
RMSE0.0064
12
Sensor-Space ImputationHeat Synthetic PDE
RMSE0.0979
9
Global field reconstructionHeat Synthetic PDE
RMSE0.1771
9
PDE SolvingHeat 2d+time (test)
Rel. MSE0.0023
9
PDE DiscoveryHeat
F1 Score100
8
Partial Differential Equation SolvingHeat Multi-freq
Relative L2 Error1.41
5
PDE solvingHeat 100D (test)
MSE0.0037
5
Data assimilationHeat
MAE0.0428
4
Data assimilationHeat
fMSE-M0.74
4
Data assimilationHeat
fMSE-H0.0975
4
Data assimilationHeat
L2RE0.0326
4
Data assimilationHeat
L1RE1.35
4
Data assimilationHeat
MSE0.0006
4
Data assimilationHeat
fMSE-L16.6
4
High-dimensional PDE solvingHeat triangular domain
rMAE0.77
2
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