Preprint · 2026 · Zenodo
On the Spectral Dynamics and Eigenspace-Trapped Limit Cycles of SAM
Prabesh Dahal · 2026 · Zenodo
Theoretical analysis of Sharpness-Aware Minimization (SAM), deriving closed-form limit-cycle dynamics and convergence properties. The work characterises how SAM iterates become trapped in eigenspace-aligned limit cycles under specific spectral conditions.

Fig. 1 — Eigenspace-aligned limit cycles (concept)