SAM's largest Hessian eigenvalue is bounded by the cube root of bGamma/(2*rho*eta^2), so larger radius, smaller batch, or larger learning rate restrict linearly stable minima to flatter regions.
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On the Implicit Flatness Bias of Sharpness-Aware Minimization: A Linear Stability Analysis with Quantitative Hyperparameter Bounds
SAM's largest Hessian eigenvalue is bounded by the cube root of bGamma/(2*rho*eta^2), so larger radius, smaller batch, or larger learning rate restrict linearly stable minima to flatter regions.