English

Normalization Layers Are All That Sharpness-Aware Minimization Needs

Machine Learning 2023-11-20 v2 Computer Vision and Pattern Recognition

Abstract

Sharpness-aware minimization (SAM) was proposed to reduce sharpness of minima and has been shown to enhance generalization performance in various settings. In this work we show that perturbing only the affine normalization parameters (typically comprising 0.1% of the total parameters) in the adversarial step of SAM can outperform perturbing all of the parameters.This finding generalizes to different SAM variants and both ResNet (Batch Normalization) and Vision Transformer (Layer Normalization) architectures. We consider alternative sparse perturbation approaches and find that these do not achieve similar performance enhancement at such extreme sparsity levels, showing that this behaviour is unique to the normalization layers. Although our findings reaffirm the effectiveness of SAM in improving generalization performance, they cast doubt on whether this is solely caused by reduced sharpness.

Keywords

Cite

@article{arxiv.2306.04226,
  title  = {Normalization Layers Are All That Sharpness-Aware Minimization Needs},
  author = {Maximilian Mueller and Tiffany Vlaar and David Rolnick and Matthias Hein},
  journal= {arXiv preprint arXiv:2306.04226},
  year   = {2023}
}

Comments

camera ready version