Generative learning for slow manifolds and bifurcation diagrams

Keyphrases

• Bifurcation Diagram 100%
• Slow Manifold 100%
• Generative Learning 100%
• Steady State 71%
• Parameter Values 28%
• Initialize 28%
• Quantity of Interest 28%
• Conditional Score 28%
• Score-based Generative Model 28%
• Machine Learning 14%
• Dimensionality Reduction 14%
• Training Data 14%
• Reduction Method 14%
• One-parameter 14%
• Generative Models 14%
• Data Distribution 14%
• Parameter Space 14%
• System Dynamics 14%
• State Parameter 14%
• PDE 14%
• Dynamical Systems 14%
• Learning-based 14%
• Manifold Learning 14%
• Nonlinear Dynamics 14%
• Distribution Point 14%
• Time-scale Separation 14%
• Order Reduction 14%
• Desired Value 14%
• Coarse Scale 14%
• Fast Transient 14%
• Time Dynamics 14%
• Model Reduction 14%
• Long-term Dynamics 14%
• Fast-scale 14%
• Target Distribution 14%
• Multiscale Algorithm 14%
• Equation-free Approach 14%
• Bifurcation Surface 14%
• Systematic Construction 14%
• Parameter Continuation 14%
• Conditional Sampling 14%
• Multi-time Scale 14%

Mathematics

• Slow Manifold 100%
• Manifold 71%
• Conditionals 42%
• Generative Model 42%
• Approximates 14%
• Dynamical System 14%
• Training Data 14%
• Ordinary Differential Equation 14%
• Parameter Space 14%
• Partial Differential Equation 14%
• Dimensionality Reduction 14%
• Data Distribution 14%
• target distribution π 14%
• Consistent System 14%