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Verification of generalization error on 1D wave equation
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Epsilon | del_Omega (Certified)
Rigorous Error Certification for Neural PDE Solvers
-0.000986
-0.000486
0.000014
0.000514
Mar 19, 2026
Epsilon | del_Omega (Certified)
Epsilon_t | del_Omega (Certified)
Epsilon_tt | del_Omega (Certified)
Epsilon (t=0) (Certified)
Nabla Epsilon (t=0) (Certified)
Nabla Epsilon Dot N_hat | del_Omega (Certified)
Residual Bound
Generalization Bound (Prop. 12)
Reference Error
Updated 1mo ago
Evaluation Results
Method
Method
Links
Epsilon | del_Omega (Certified)
Epsilon_t | del_Omega (Certified)
Epsilon_tt | del_Omega (Certified)
Epsilon (t=0) (Certified)
Nabla Epsilon (t=0) (Certified)
Nabla Epsilon Dot N_hat | del_Omega (Certified)
Residual Bound
Generalization Bound (Prop. 12)
Reference Error
Rigorous Error Certification for Neural PDE Solvers
Verification Framework...
2026.03
0
0
0
0
0.0001
0
0.0001
0.0005
0.0003
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