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Sharpness-Aware Minimization (SAM) aims to improve generalization by minimizing a worst-case perturbed loss over a small neighborhood of model parameters. However, during training, its optimization behavior does not always align with…

Machine Learning · Computer Science 2026-01-16 Hongru Duan , Yongle Chen , Lei Guan

Recently, Sharpness-Aware Minimization (SAM) has shown state-of-the-art performance by seeking flat minima. To minimize the maximum loss within a neighborhood in the parameter space, SAM uses an ascent step, which perturbs the weights along…

Machine Learning · Computer Science 2023-02-22 Hoki Kim , Jinseong Park , Yujin Choi , Woojin Lee , Jaewook Lee

Recently, sharpness-aware minimization (SAM) has attracted much attention because of its surprising effectiveness in improving generalization performance. However, compared to stochastic gradient descent (SGD), it is more prone to getting…

Machine Learning · Computer Science 2024-09-11 Chengli Tan , Jiangshe Zhang , Junmin Liu , Yicheng Wang , Yunda Hao

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

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

Sharpness-Aware Minimization (SAM) is a highly effective regularization technique for improving the generalization of deep neural networks for various settings. However, the underlying working of SAM remains elusive because of various…

Machine Learning · Computer Science 2023-01-06 Kaiyue Wen , Tengyu Ma , Zhiyuan Li

Sharpness-Aware Minimization (SAM) improves model generalization but doubles the computational cost of Stochastic Gradient Descent (SGD) by requiring twice the gradient calculations per optimization step. To mitigate this, we propose…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Jiaxin Deng , Junbiao Pang

Sharpness-Aware Minimization (SAM) is an optimizer that takes a descent step based on the gradient at a perturbation $y_t = x_t + \rho \frac{\nabla f(x_t)}{\lVert \nabla f(x_t) \rVert}$ of the current point $x_t$. Existing studies prove…

Machine Learning · Computer Science 2023-10-30 Dongkuk Si , Chulhee Yun

The generalization performance of deep neural networks (DNNs) is a critical factor in achieving robust model behavior on unseen data. Recent studies have highlighted the importance of sharpness-based measures in promoting generalization by…

Machine Learning · Computer Science 2025-01-28 Mohamed Hassan , Aleksandar Vakanski , Boyu Zhang , Min Xian

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) is a recent training method that relies on worst-case weight perturbations which significantly improves generalization in various settings. We argue that the existing justifications for the success of SAM…

Machine Learning · Computer Science 2022-06-14 Maksym Andriushchenko , Nicolas Flammarion

Sharpness-aware minimization (SAM) methods have gained increasing popularity by formulating the problem of minimizing both loss value and loss sharpness as a minimax objective. In this work, we increase the efficiency of the maximization…

Machine Learning · Computer Science 2024-05-17 Gonçalo Mordido , Pranshu Malviya , Aristide Baratin , Sarath Chandar

Recently, Sharpness-Aware Minimization (SAM), which connects the geometry of the loss landscape and generalization, has demonstrated significant performance boosts on training large-scale models such as vision transformers. However, the…

Machine Learning · Computer Science 2022-03-08 Yong Liu , Siqi Mai , Xiangning Chen , Cho-Jui Hsieh , Yang You

Sharpness-aware Minimization (SAM) has been proposed recently to improve model generalization ability. However, SAM calculates the gradient twice in each optimization step, thereby doubling the computation costs compared to stochastic…

Computer Vision and Pattern Recognition · Computer Science 2024-03-15 Jiaxin Deng , Junbiao Pang , Baochang Zhang , Tian Wang

Sharpness-Aware Minimization (SAM) has recently emerged as a robust technique for improving the accuracy of deep neural networks. However, SAM incurs a high computational cost in practice, requiring up to twice as much computation as…

Machine Learning · Computer Science 2022-10-25 Renkun Ni , Ping-yeh Chiang , Jonas Geiping , Micah Goldblum , Andrew Gordon Wilson , Tom Goldstein

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

The recently proposed optimization algorithm for deep neural networks Sharpness Aware Minimization (SAM) suggests perturbing parameters before gradient calculation by a gradient ascent step to guide the optimization into parameter space…

Machine Learning · Computer Science 2025-10-03 Marlon Becker , Frederick Altrock , Benjamin Risse

Sharpness-aware minimization (SAM) seeks the minima with a flat loss landscape to improve the generalization performance in machine learning tasks, including fine-tuning. However, its extra parameter perturbation step doubles the…

Machine Learning · Computer Science 2026-02-11 Yifei Cheng , Xianglin Yang , Guoxia Wang , Chao Huang , Fei Ma , Dianhai Yu , Xiaochun Cao , Li Shen

Sharpness-Aware Minimization (SAM) is widely used to seek flatter minima -- often linked to better generalization. In its standard implementation, SAM updates the current iterate using the loss gradient evaluated at a point perturbed by…

Machine Learning · Computer Science 2026-02-06 Chanwoong Park , Uijeong Jang , Ernest K. Ryu , Insoon Yang

Sharpness-Aware Minimization (SAM) enhances generalization by reducing a Max-Sharpness (MaxS). Despite the practical success, we empirically found that the MAxS behind SAM's generalization enhancements face the "Flatness Indicator Problem"…

Computer Vision and Pattern Recognition · Computer Science 2024-09-23 Jiaxin Deng , Junbiao Pang , Baochang Zhang , Qingming Huang
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