Learning Generative Dynamics with Soft Path-Law Constraints: A McKean-Vlasov FBSDE Approach

arXiv:2605.08928 · math.OC, stat.ML · Submitted 2026-05-09 · Read on arXiv

math.OC, stat.ML

Submitted: 2026-05-09

Updated: 2026-10-19

Terminology

• Benchmark — 1× in this paper · explained in 2 episodes
• Latent Space — 1× in this paper · explained in 7 episodes
• Optimal Transport — 1× in this paper · explained in 5 episodes
• Stochastic Dynamics — 1× in this paper · explained in 3 episodes

Related papers

• Lions and Muons: Optimization via Stochastic Frank-Wolfe under Heavy-Tailed Noise
• Adam-HNAG: A Convergent Reformulation of Adam with Accelerated Rate
• Incremental Learning in Mirror Flows
• Beyond Aggregate Drift: Optimal Client-Specific Windows in Federated Learning
• Lower Bounds for Randomized Linear-Oracle Optimization over Strongly Convex Sets
• Second-Order Optimization with Asynchronous Curvature