Helmholtz
Benchmarks
Task NameDataset NameSOTA ResultTrendResults
Helmholtz (test)
0.422H1 Score
32
Helmholtz
0.007Relative Error
26
Helmholtz
0.025Relative L2 Error
18
Helmholtz
0.222RMSE (Helmholtz)
17
Helmholtz Dimension: 6400 Precision: 1e-8
31.31Average Computation Time (s)
17
Helmholtz 10K-epoch
1Relative L2 Error
16
Helmholtz 2D a=10
0Relative L2 Error
15
Helmholtz
0.01Relative Error
14
2D Helmholtz (test)
0.023Time (sec/iter)
14
Helmholtz full observations
0.049Relative Error
14
Helmholtz (test)
0.139Relative H1 Error
12
Helmholtz
0.55PDE Residual
12
Helmholtz 3D (test)
19.86Absolute Error
10
Helmholtz 2D (test)
0.038Absolute Error
10
Helmholtz synthetic (test)
0.022RMSE
10
Helmholtz 3% uniformly random measurements
7.67Coefficient Relative L2 Error
10
Helmholtz
15.91Relative Error
10
δ-Helmholtz
0.001Relative L2 Error
9
Helmholtz Full Observation
0.011L2 Relative Error
9
Helmholtz
0.2PDE Residual
9
2D Helmholtz
1.71Relative L1 Error
8
Helmholtz
0.47Inference Time (ms)
8
Helmholtz-2D
0.009Error
8
Helmholtz
0.14MMSE
7
Helmholtz Cross-equation (test)
0.087L2 Relative Error
7