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Mathematical & Computational Physics

Machine Learning in Physics

The application of artificial intelligence, neural networks, and statistical learning models to solve complex physical equations and discover empirical patterns in experimental data.

Governing formula Physics-Informed Neural Networks (PINN): Loss = L_data + λ L_physics
SI unit Computational AI Framework

In depth

Physics-Informed Neural Networks (PINNs) embed differential conservation laws directly into neural network loss functions, guaranteeing that AI predictions strictly satisfy physical conservation laws.

Examples in the real world

Accelerating quantum chemistry electronic structure calculations and predicting plasma instabilities in fusion tokamaks.