Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the koopman operator

Mathematics

• Dictionary 85%
• Spectral Decomposition 81%
• Data-driven 79%
• Learning 63%
• Decompose 45%
• Operator 32%
• Duffing Oscillator 15%
• Kuramoto-Sivashinsky Equation 15%
• Artificial Neural Network 14%
• Machine Learning 12%
• Term 12%
• Approximation Methods 11%
• Numerical Approximation 11%
• Iterative Algorithm 10%
• Choose 10%
• Approximation Algorithms 10%
• High-dimensional 9%
• Inclusion 9%
• Nonlinear Systems 9%
• Numerical Methods 8%
• Subspace 8%
• Differential equation 7%
• Framework 6%
• Generalization 5%

Physics & Astronomy

• dictionaries 100%
• learning 76%
• decomposition 52%
• operators 49%
• machine learning 14%
• nonlinear systems 12%
• approximation 12%
• differential equations 9%
• inclusions 9%
• oscillators 8%
• formalism 8%

Engineering & Materials Science

• Glossaries 67%
• Decomposition 50%
• Approximation algorithms 12%
• Differential equations 10%
• Nonlinear systems 9%
• Machine learning 8%
• Neural networks 7%