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Darcy Flow

Benchmarks

Task NameDataset NameSOTA ResultTrend
2d Darcy Flow2d Darcy Flow (test)
Test Relative Error0.65
51
Operator learningDarcy Flow 512x512 grid sub-sampled (test)
Relative L2 Error0.0065
28
PDE constrained field generationDarcy Flow (val)
NLL-3.5
16
PDE SolvingDarcy-Flow 2d (test)
Relative MSE0.0162
15
Partial Differential Equation Solving2-D Darcy Flow
MSE0.0002
12
PDE Inverse ProblemDarcy Flow Noisy
Error Rate12.34
12
PDE Forward ProblemDarcy Flow Noisy
L2 Relative Error3.77
12
PDE SolvingDarcy flow noisy observations, sigma_max^2 = 0.001
Test Error0.0109
11
PDE SolvingDarcy flow noisy inputs, sigma_max^2 = 0.001
Test Error0.0056
11
PDE SolvingDarcy flow clean data
Test Error0.0055
11
PDE ReconstructionDarcy Flow 3% uniformly random measurements
Coefficient Rel L2 Error2.07
10
Forward PDE solvingDarcy Flow
Relative Error0.49
10
Inverse ProblemDarcy Flow 97% Sparse Observation
L2 Relative Error5.18
9
Forward SimulationDarcy Flow 97% Sparse Observation
L2 Relative Error0.0249
9
Inverse PDE solvingDarcy Flow Full Observation
L2 Relative Error0.021
9
Forward PDE solvingDarcy Flow Full Observation
L2 Relative Error1.05
9
Forward PDE SolvingDarcy Flow (test)
Relative H1 Error0.105
9
PDE SolvingDarcy Flow
Relative L2 Error0.79
9
Solving Darcy FlowDarcy flow noisy observations, sigma_y_max^2 = 0.001 (test)
Test Error0.0109
8
Solving Darcy FlowDarcy flow noisy inputs, sigma_x_max^2 = 0.001 (test)
Test Error0.0056
8
Solving Darcy FlowDarcy flow clean (test)
Test Error0.0055
8
Generative ModelingDarcy flow 1024 samples (test)
Relative Error0.022
7
Operator LearningDarcy Flow RPB (Out)
Rel. Median L1 Error0.5
7
Operator LearningDarcy Flow RPB (In)
Relative Median L1 Error0.38
7
Inverse PDE InferenceDarcy Flow 64x64 (test)
Relative L2 Error1.1
6
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