Lift & Learn: Physics-informed machine learning for large-scale nonlinear dynamical systems

Mathematics

• Nonlinear Dynamical Systems 85%
• Machine Learning 83%
• Physics 62%
• Model 25%
• Compressible Euler Equations 15%
• Coordinate Transformation 15%
• Model Reduction 15%
• Activation 14%
• System Dynamics 14%
• Operator Matrix 14%
• Auxiliary Variables 14%
• Principal Components 14%
• Neuron 13%
• Preservation 12%
• Governing equation 11%
• Learning 11%
• Least Squares 11%
• Nonlinear Systems 10%
• Knowledge 9%
• Dynamical system 9%
• Numerical Experiment 9%
• Demonstrate 7%
• Operator 5%

Physics & Astronomy

• machine learning 96%
• dynamical systems 75%
• physics 48%
• operators 15%
• coordinate transformations 13%
• inference 12%
• learning 11%
• nonlinear systems 11%
• neurons 10%
• activation 8%
• matrices 5%

Engineering & Materials Science

• Nonlinear dynamical systems 100%
• Physics 65%
• Machine learning 55%
• Dynamical systems 17%
• Euler equations 13%
• Chemical activation 9%
• Nonlinear systems 9%
• Experiments 3%