Notes on Generative Modeling for Feedback Control and Planning

arXiv:2609.33164 · math.OC, cs.LG, cs.SY, eess.SY · Submitted 2026-09-27 · Read on arXiv

math.OC, cs.LG, cs.SY, eess.SY

Submitted: 2026-09-27

Updated: 2026-09-27

Terminology

• Flow Matching — 71× in this paper · explained in 8 episodes
• Normalizing Flow — 29× in this paper · explained in 3 episodes
• Generative Modeling — 23× in this paper · explained in 3 episodes
• Optimal Transport — 22× in this paper · explained in 5 episodes
• Normalizing Flows — 21× in this paper · explained in 4 episodes
• Trace — 11× in this paper · explained in 2 episodes
• Steering — 7× in this paper · explained in 2 episodes
• Diffusion Processes — 6× in this paper · explained in 2 episodes
• Reinforcement Learning — 6× in this paper · explained in 4 episodes
• Diffusion Model — 4× in this paper · explained in 8 episodes
• Diffusion Models — 4× in this paper · explained in 6 episodes
• Gradient Flow — 4× in this paper · explained in 2 episodes
• Actor — 2× in this paper · explained in 3 episodes
• Closed-Loop System — 2× in this paper · explained in 4 episodes
• Core — 2× in this paper · explained in 2 episodes
• Diffusion Process — 2× in this paper · explained in 2 episodes
• Pontryagin Maximum Principle — 2× in this paper
• System Identification — 2× in this paper · explained in 3 episodes
• Alignment — 1× in this paper · explained in 1 episode
• Closed-Loop Control — 1× in this paper · explained in 3 episodes
• Deep Reinforcement Learning — 1× in this paper · explained in 2 episodes
• Fine-Tuning — 1× in this paper · explained in 5 episodes
• Frustration — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Inverse Problem — 1× in this paper · explained in 2 episodes
• Loss Function — 1× in this paper · explained in 2 episodes
• Physics-Informed Neural Network (PINN) — 1× in this paper · explained in 3 episodes
• Rectified Flow — 1× in this paper · explained in 3 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Sample Complexity — 1× in this paper · explained in 15 episodes
• Stochastic Dynamics — 1× in this paper · explained in 2 episodes
• Symmetry Breaking — 1× in this paper · explained in 3 episodes

Sources

• Score Matching Diffusion Based Feedback Control and Planning of Nonlinear Systems
• Benamou-Brenier Formulation of Optimal Transport for Nonlinear Control Systems on Rd
• Flow Matching for Measure Transport and Feedback Stabilization of Control-Affine Systems
• Optimal transport over nonlinear systems via infinitesimal generators on graphs
• Planning with Diffusion for Flexible Behavior Synthesis
• Reinforcement Learning and Control as Probabilistic Inference: Tutorial and Review
• Flow matching for stochastic linear control systems
• Score-Based Generative Modeling through Stochastic Differential Equations

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