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Benchmarks
Inverse Problem Solving on 2D Heat Equation
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1.59
Relative L2 Error
AdamFLIP
1.3968
2.7009
4.005
5.3091
May 8, 2026
Relative L2 Error
Constraint Error (IC)
Constraint Error (BC)
Constraint Error (Physics)
Constraint Error (DL)
Wall Time (s)
Updated 22d ago
Evaluation Results
Method
Method
Links
Relative L2 Error
Constraint Error (IC)
Constraint Error (BC)
Constraint Error (Physics)
Constraint Error (DL)
Wall Time (s)
AdamFLIP
Constraint=true
2026.05
1.59
1.43
1.03
9.13
1.51
346
Standard PINN
Constraint=false
2026.05
2.9
3.06
1.19
2.79
5.22
297
AL-PINN
Constraint=true
2026.05
3.98
1.71
3.07
2.29
9.18
361
FL-PINN
Constraint=true
2026.05
4.06
1.8
8.73
7.44
8.81
360
trSQP-PINN
Constraint=true
2026.05
6.42
4.81
4.57
3.73
2.59
1,300
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