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Helmholtz dataset and benchmarks – Page 3 · SOTA2 Research

Research Datasets

Helmholtz

Benchmarks

Task NameDataset NameSOTA MethodSort

Task NameDataset NameSOTA ResultTrendResults

Inverse PDE Solving

Helmholtz (test)

24.78Relative Error

3

Forward PDE solving

Helmholtz-HF

0.324Median L2 Error

3

Forward PDE Solving

Helmholtz Forward PDE

1.05Relative L2 Error (Mean ± Std)

3

Helmholtz (test)

0Relative L2 Error

3

Unconditional Sampling

Helmholtz (test)

0.011PDE Residual (Normalized)

3

Helmholtz

52Time (s)

3

Helmholtz (test)

16.32Error Rate

3

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Forward PDE solving PDE solving Inverse PDE solving Forward prediction Solving partial differential equations

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