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Paper · arXiv

One Size Does Not Fit All: Curvature-Aware Adaptive Perturbation for SAM

Poor generalisation in deep neural networks is frequently associated with convergence to sharp minima. Sharpness-Aware Minimisation (SAM) improves generalisation of deep neural networks by minimising a combination of the training loss and the local sharpness of the loss landscape, biasing convergence towards flat minima. However, SAM relies on a fixed perturbation radius $ρ$ that ignores local curvature, leading to inefficient behaviour: the perturbation may be too small to escape poor basins defined by sharp local minima, or too large to allow convergence to solutions with good loss-sharpness tradeoff. We reinterpret $ρ$ as the intensity of the perturbation signal and propose Curvature-A...

AuthorsAlessia Rossi, Felipe Campelo, Gabriel L. Oliveira
Primary categorycs.LG
Published14 October 2026
Last updated at source14 October 2026
cs.LGcs.AI
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