M-SAM replaces SAM's Euclidean perturbation with a Monge-metric perturbation, a scaled version of SAM's step, and claims improved robustness and reduced attraction to saddle points.
Riemannian laplace approximation with the fisher metric
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Monge SAM: Robust Reparameterization-Invariant Sharpness-Aware Minimization Based on Loss Geometry
M-SAM replaces SAM's Euclidean perturbation with a Monge-metric perturbation, a scaled version of SAM's step, and claims improved robustness and reduced attraction to saddle points.