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Helmholtz equation

Benchmarks

Task NameDataset NameSOTA ResultTrend
Solving Helmholtz EquationHelmholtz Equation
L-infinity Error0
40
PDE SolvingHelmholtz equation
Relative L2 Error0.006
32
Solving PDEsHelmholtz Equation (test)
Max Relative L2 Error0.0036
11
Solving 3D Helmholtz Equation3D Helmholtz Equation
MSE0.004
8
Solving Helmholtz EquationHelmholtz Equation 35
L-infinity Error0
7
Helmholtz EquationHelmholtz Equation 70K epochs
L1 Error0.0079
5
Joint sparse reconstructionHelmholtz equation
Relative Error (RE)5.94
5
PDE solvingHelmholtz Equation sigma_obs=0.5 (val)
Residual Error0.023
4
PDE solvingHelmholtz Equation sigma_obs=0.1 (val)
Residual0.024
4
PDE solvingHelmholtz Equation sigma_obs=0.05 (val)
Residual Error0.024
4
PDE solvingHelmholtz Equation sigma_obs=0 (val)
Residual0.025
4
PDE SolvingHelmholtz Equation (val)
MSE Loss (Validation)2.32
3
PDE SolvingHelmholtz Equation (train)
Training Loss1.23
3
Solving Linear ODE/PDEHelmholtz equation (test)
MAE0.0002
2
Solving Partial Differential EquationsHelmholtz equation high-frequency regime Example 2 (test)
Metric-
0
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