I agree with the wave of criticisms surrounding PINNs. As a researcher currently working on a project involving PINNs for cardiac biomedical applications, in m

I agree with the wave of criticisms surrounding PINNs. As a researcher currently working on a project involving PINNs for cardiac biomedical applications, in my field industry players generally steer clear of PINNs. The core issue lies in the approach of approximating physical laws through a loss function. Basically: instead of leveraging mathematically robust solvers, PINNs attempt to encode the underlying physics (e.g., conservation laws) as constraints within the loss function of a NN. Clearly this is a problem for systems requiring high fidelity in physical accuracy...