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

Mathematics

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

Physics & Astronomy

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

Engineering & Materials Science

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