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Papers Benchmarks Datasets Tasks

PDE Inverse Problem research benchmarks · SOTA2 Research

PDE Inverse Problem

Benchmarks

Dataset NameSOTA MethodSort

Dataset NameSOTA methodMetricTrendResultsLast Updated

Darcy Flow Noisy

12.34Error Rate

12

Feb 26, 2026

Advection-Diffusion-2D (full)

1SR

9

May 14, 2026

Helmholtz Noisy

67.93L2 Relative Error

7

Feb 26, 2026

41.14L2 Relative Error

7

Feb 26, 2026

Poisson inverse benchmark (test)

64.9Runtime (s)

5

Jun 23, 2026

Navier-Stokes Noisy

37.03L2 Relative Error

5

Feb 26, 2026

Navier-Stokes-2D (full)

100SR

3

May 14, 2026

Allen-Cahn-2D (full)

100SR

3

May 14, 2026

Darcy-2D (full)

68.8SR

3

May 14, 2026

1SR

3

May 14, 2026

100SR

3

May 14, 2026

24.3SR

3

May 14, 2026

Popular datasets

Darcy Flow Navier-Stokes Poisson Helmholtz Allen-Cahn

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