Adversarial training improves PINNs by using the discriminator to mitigate spectral bias and stiffness, with a new NTK-based framework providing theoretical grounding and a practical algorithm.
Then the residual dynamics satisfy ˙r=−K G rr(θ)γ (X2),(197) where γ(X2) i = 2 Nr ri R′ f(r 2 i ;ϕ) ∂sf(r 2 i ;ϕ).(198) 35
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When and Why Adversarial Training Improves PINNs: A Neural Tangent Kernel Perspective
Adversarial training improves PINNs by using the discriminator to mitigate spectral bias and stiffness, with a new NTK-based framework providing theoretical grounding and a practical algorithm.