ResearchBenchmarksPhysics-Informed Neural Network Optimization on Helmholtz PDE E7 (test)Follow0.04Best LossSPBM0.03160.08830.1450.2017May 18, 2026Evaluation ResultsMethodMethodLinksBest LossConstraint 1 ViolationConstraint 2 ValueSPBMEpoch=4668Epoch=46682026.050.040.003—SSL-ALMEpoch=5908Epoch=59082026.050.10.013—AdamEpoch=5985Epoch=59852026.050.250.075—