This does not apply to PINNs though. They were used and investigated by people deeply knowledgeable about numerics and neural networks, they just totally failed to live up to expectation.
"they just totally failed to live up to expectation"
Because the expectation was too high. If you are aiming for precision, neural networks might not be the best solution for you. That is why generative AI works so well, it doesn’t need to be extremely precise. On the other hand you don't see people use neural networks in system control for cricital processes.
