Mechanism failed
2026
Smooth-RG Modewise Optimizer
Treat parameter-space curvature modes as RG momentum shells and use a smooth cutoff to construct a scale-dependent preconditioner rather than abruptly clipping eigenmodes. The optimizer should expose measurable crossovers between overdamped, KPZ-like, and nearly inviscid relaxation, allowing the learning rate and damping to change at empirically detected transitions instead of following a fixed schedule.
Paper: Scaling regimes of the Kuramoto-Sivashinsky equation from the functional renormalization group
arXiv:2607.15784