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1st-Order Magic: Analysis of Sharpness-Aware Minimization

arXiv 2411.01714 ↗First posted 3 Nov 2024cs.LGcited by 0

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Abstract (arXiv)

Sharpness-Aware Minimization (SAM) is an optimization technique designed to improve generalization by favoring flatter loss minima. To achieve this, SAM optimizes a modified objective that penalizes sharpness, using computationally efficient approximations. Interestingly, we find that more precise approximations of the proposed SAM objective degrade generalization performance, suggesting that the generalization benefits of SAM are rooted in these approximations rather than in the original intended mechanism. This highlights a gap in our understanding of SAM's effectiveness and calls for further investigation into the role of approximations in optimization.

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References · 8

  1. 2020Sharpness-Aware Minimization for Efficiently Improving Generalizationcited by 1,417
  2. 2016On Large-Batch Training for Deep Learning: Generalization Gap and Sharp Minimacited by 1,352
  3. 2017Exploring Generalization in Deep Learningcited by 600
  4. 2017Sharp Minima Can Generalize For Deep Netscited by 466
  5. 2021ASAM: Adaptive Sharpness-Aware Minimization for Scale-Invariant Learning of Deep Neural Networkscited by 293
  6. 2022Understanding Gradient Descent on Edge of Stability in Deep Learningcited by 128
  7. 2020Regularizing Neural Networks via Adversarial Model Perturbationcited by 78
  8. 2023Exploring the Effect of Multi-step Ascent in Sharpness-Aware Minimizationcited by 9

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