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Sharpness-Aware Minimization (SAM) has been instrumental in improving deep neural network training by minimizing both training loss and loss sharpness. Despite the practical success, the mechanisms behind SAM's generalization enhancements…

Machine Learning · Computer Science 2024-03-20 Tao Li , Pan Zhou , Zhengbao He , Xinwen Cheng , Xiaolin Huang

We study the implicit bias of Sharpness-Aware Minimization (SAM) when training $L$-layer linear diagonal networks on linearly separable binary classification. For linear models ($L=1$), both $\ell_\infty$- and $\ell_2$-SAM recover the…

Machine Learning · Computer Science 2026-05-19 Chaewon Moon , Dongkuk Si , Chulhee Yun

We characterize the effectiveness of Sharpness-aware minimization (SAM) under machine unlearning scheme, where unlearning forget signals interferes with learning retain signals. While previous work prove that SAM improves generalization…

Machine Learning · Computer Science 2026-03-10 Haoran Tang , Rajiv Khanna

Sharpness-Aware Minimization (SAM) is an effective method for improving generalization ability by regularizing loss sharpness. In this paper, we explore SAM in the context of adversarial robustness. We find that using only SAM can achieve…

Machine Learning · Computer Science 2023-07-04 Zeming Wei , Jingyu Zhu , Yihao Zhang

Pretraining optimizers are tuned to produce the strongest possible base model, on the assumption that a stronger starting point yields a stronger model after subsequent changes like post-training and quantization. This overlooks the…

Machine Learning · Computer Science 2026-05-05 Ishaan Watts , Catherine Li , Sachin Goyal , Jacob Mitchell Springer , Aditi Raghunathan

We consider Sharpness-Aware Minimization (SAM), a gradient-based optimization method for deep networks that has exhibited performance improvements on image and language prediction problems. We show that when SAM is applied with a convex…

Machine Learning · Computer Science 2023-04-12 Peter L. Bartlett , Philip M. Long , Olivier Bousquet

Sharpness-aware minimization (SAM) has received increasing attention in computer vision since it can effectively eliminate the sharp local minima from the training trajectory and mitigate generalization degradation. However, SAM requires…

Machine Learning · Computer Science 2024-06-21 Yili Wang , Kaixiong Zhou , Ninghao Liu , Ying Wang , Xin Wang

The paper investigates the fundamental convergence properties of Sharpness-Aware Minimization (SAM), a recently proposed gradient-based optimization method [Foret et al., 2021] that significantly improves the generalization of deep neural…

Optimization and Control · Mathematics 2024-10-22 Pham Duy Khanh , Hoang-Chau Luong , Boris S. Mordukhovich , Dat Ba Tran

Deep neural networks often suffer from poor generalization due to complex and non-convex loss landscapes. Sharpness-Aware Minimization (SAM) is a popular solution that smooths the loss landscape by minimizing the maximized change of…

Artificial Intelligence · Computer Science 2023-07-03 Peng Mi , Li Shen , Tianhe Ren , Yiyi Zhou , Tianshuo Xu , Xiaoshuai Sun , Tongliang Liu , Rongrong Ji , Dacheng Tao

Deep neural networks often suffer from poor generalization caused by complex and non-convex loss landscapes. One of the popular solutions is Sharpness-Aware Minimization (SAM), which smooths the loss landscape via minimizing the maximized…

Machine Learning · Computer Science 2022-10-25 Peng Mi , Li Shen , Tianhe Ren , Yiyi Zhou , Xiaoshuai Sun , Rongrong Ji , Dacheng Tao

Sharpness-aware minimization (SAM) has been instrumental in improving deep neural network training by minimizing both the training loss and the sharpness of the loss landscape, leading the model into flatter minima that are associated with…

Machine Learning · Computer Science 2024-10-03 Van-Anh Nguyen , Quyen Tran , Tuan Truong , Thanh-Toan Do , Dinh Phung , Trung Le

Recently, flat minima are proven to be effective for improving generalization and sharpness-aware minimization (SAM) achieves state-of-the-art performance. Yet the current definition of flatness discussed in SAM and its follow-ups are…

Machine Learning · Computer Science 2023-07-07 Xingxuan Zhang , Renzhe Xu , Han Yu , Hao Zou , Peng Cui

Sharpness-Aware Minimization (SAM) was recently introduced as a regularization procedure for training deep neural networks. It simultaneously minimizes the fitness (or loss) function and the so-called fitness sharpness. The latter serves as…

Neural and Evolutionary Computing · Computer Science 2024-05-20 Illya Bakurov , Nathan Haut , Wolfgang Banzhaf

Training deep learning models with differential privacy (DP) results in a degradation of performance. The training dynamics of models with DP show a significant difference from standard training, whereas understanding the geometric…

Machine Learning · Computer Science 2023-06-12 Jinseong Park , Hoki Kim , Yujin Choi , Jaewook Lee

In today's heavily overparameterized models, the value of the training loss provides few guarantees on model generalization ability. Indeed, optimizing only the training loss value, as is commonly done, can easily lead to suboptimal model…

Machine Learning · Computer Science 2021-04-30 Pierre Foret , Ariel Kleiner , Hossein Mobahi , Behnam Neyshabur

Understanding the generalization behavior of learning algorithms is a central goal of learning theory. A recently emerging explanation is that learning algorithms are successful in practice because they converge to flat minima, which have…

Machine Learning · Computer Science 2026-05-26 Matan Schliserman , Shira Vansover-Hager , Tomer Koren

We study the SAM (Sharpness-Aware Minimization) optimizer which has recently attracted a lot of interest due to its increased performance over more classical variants of stochastic gradient descent. Our main contribution is the derivation…

Machine Learning · Computer Science 2023-06-06 Enea Monzio Compagnoni , Luca Biggio , Antonio Orvieto , Frank Norbert Proske , Hans Kersting , Aurelien Lucchi

The allure of superhuman-level capabilities has led to considerable interest in language models like GPT-3 and T5, wherein the research has, by and large, revolved around new model architectures, training tasks, and loss objectives, along…

Computation and Language · Computer Science 2022-03-17 Dara Bahri , Hossein Mobahi , Yi Tay

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…

Machine Learning · Computer Science 2023-11-20 Maximilian Mueller , Tiffany Vlaar , David Rolnick , Matthias Hein

Recently, flat-minima optimizers, which seek to find parameters in low-loss neighborhoods, have been shown to improve a neural network's generalization performance over stochastic and adaptive gradient-based optimizers. Two methods have…

Machine Learning · Computer Science 2023-01-30 Jean Kaddour , Linqing Liu , Ricardo Silva , Matt J. Kusner