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Survey on the Techniques of Physics-Informed Machine Learning

Physics-Informed Machine Learning

Physics Insight

first integrals
Hamilton-Jacobi equation
in involution
Infinitesimal Canonical Transformation
Liouville integrable systems
Poisson Bracket

Reference Notes

greydanus2019 Hamiltonian Neural Networks
hornik1989 Multilayer feedforward networks are universal approximators

Action-Angle Networks
Dimension-Preserving Networks and BuckiNet
Generating Function Neural Network
Hamiltonian Neural Networks
Hamiltonian Neural Networks and related architectures
Other architectures
Solving Differential Equations using Neural Networks
Symbolic Regression Methods
SympNet
SympNet and other symplectic, structure-preserving networks

On this page

Neural Network-based Symbolic Regression

Symbolic Regression Methods

Traditional symbolic regression based on a genetic algorithm: Symbolic Regression

Neural Network-based Symbolic Regression

EQL: Equation Learning
OccamNet