PINNs and Neural Operators: Two Competing Visions of Scientific AI
One embeds the governing equation into training. The other learns a reusable map from problem setup to solution. The dream of physics-informed machine learning is seductive: rather than brute-force data, teach a neural network the actual rules governing the universe (the conservation laws, the PDEs, the symmetries) and let it reason from first principles. In the last five years, two very different approaches have emerged to pursue this dream. Physics-Informed Neural Networks (PINNs) and Neural Operators are often […]