Mean--Fluctuation Dynamics at the Edge of Stability

arXiv:2606.05326 · math.OC, cs.AI, cs.LG, math-ph, math.AP, math.MP · Submitted 2026-06-03 · Read on arXiv

math.OC, cs.AI, cs.LG, math-ph, math.AP, math.MP

Submitted: 2026-06-03

Updated: 2026-09-30

Terminology

• Accuracy — 1× in this paper · explained in 1 episode
• Gradient Flow — 1× in this paper · explained in 2 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
• Online Control via Counterfactual Tracking
• Asynchronous Replanning in Two Population Linear Quadratic Mean Field Games: Information Requirements and Stability
• Petrov-Galerkin operator inference with application to stability-encouraging identification