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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…

机器学习 · 计算机科学 2026-05-19 Chaewon Moon , Dongkuk Si , Chulhee Yun

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"…

计算机视觉与模式识别 · 计算机科学 2024-09-23 Jiaxin Deng , Junbiao Pang , Baochang Zhang , Qingming Huang

Modern deep learning models are over-parameterized, where different optima can result in widely varying generalization performance. The Sharpness-Aware Minimization (SAM) technique modifies the fundamental loss function that steers gradient…

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…

机器学习 · 计算机科学 2024-05-17 Gonçalo Mordido , Pranshu Malviya , Aristide Baratin , Sarath Chandar

Sharpness-aware minimization (SAM) and related adversarial deep-learning methods can drastically improve generalization, but their underlying mechanisms are not yet fully understood. Here, we establish SAM as a relaxation of the Bayes…

机器学习 · 计算机科学 2023-12-12 Thomas Möllenhoff , Mohammad Emtiyaz Khan

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…

机器学习 · 计算机科学 2026-02-11 Yifei Cheng , Xianglin Yang , Guoxia Wang , Chao Huang , Fei Ma , Dianhai Yu , Xiaochun Cao , Li Shen

Modern deep neural networks (DNNs) have achieved state-of-the-art performances but are typically over-parameterized. The over-parameterization may result in undesirably large generalization error in the absence of other customized training…

机器学习 · 计算机科学 2023-03-03 Jiawei Du , Daquan Zhou , Jiashi Feng , Vincent Y. F. Tan , Joey Tianyi Zhou

Sharpness-Aware Minimization (SAM) optimizer enhances the generalization ability of the machine learning model by exploring the flat minima landscape through weight perturbations. Despite its empirical success, SAM introduces an additional…

机器学习 · 计算机科学 2025-06-02 Yifei Cheng , Li Shen , Hao Sun , Nan Yin , Xiaochun Cao , Enhong Chen

Recently, Sharpness-Aware Minimization (SAM) algorithm has shown state-of-the-art generalization abilities in vision tasks. It demonstrates that flat minima tend to imply better generalization abilities. However, it has some difficulty…

机器学习 · 计算机科学 2022-10-14 Zhiyuan Zhang , Ruixuan Luo , Qi Su , Xu Sun

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…

计算机视觉与模式识别 · 计算机科学 2024-03-15 Jiaxin Deng , Junbiao Pang , Baochang Zhang , Tian Wang

Recently, learning algorithms motivated from sharpness of loss surface as an effective measure of generalization gap have shown state-of-the-art performances. Nevertheless, sharpness defined in a rigid region with a fixed radius, has a…

机器学习 · 计算机科学 2021-06-30 Jungmin Kwon , Jeongseop Kim , Hyunseo Park , In Kwon Choi

The mechanisms by which certain training interventions, such as increasing learning rates and applying batch normalization, improve the generalization of deep networks remains a mystery. Prior works have speculated that "flatter" solutions…

机器学习 · 计算机科学 2023-05-25 Simran Kaur , Jeremy Cohen , Zachary C. Lipton

By driving models to converge to flat minima, sharpness-aware learning algorithms (such as SAM) have shown the power to achieve state-of-the-art performances. However, these algorithms will generally incur one extra forward-backward…

机器学习 · 计算机科学 2023-04-11 Yang Zhao , Hao Zhang , Xiuyuan Hu

To fully uncover the great potential of deep neural networks (DNNs), various learning algorithms have been developed to improve the model's generalization ability. Recently, sharpness-aware minimization (SAM) establishes a generic scheme…

计算机视觉与模式识别 · 计算机科学 2022-11-22 Tao Li , Weihao Yan , Zehao Lei , Yingwen Wu , Kun Fang , Ming Yang , Xiaolin Huang

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…

机器学习 · 计算机科学 2025-01-28 Mohamed Hassan , Aleksandar Vakanski , Boyu Zhang , Min Xian

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…

机器学习 · 计算机科学 2026-02-06 Chanwoong Park , Uijeong Jang , Ernest K. Ryu , Insoon Yang

Models trained in federated settings often suffer from degraded performances and fail at generalizing, especially when facing heterogeneous scenarios. In this work, we investigate such behavior through the lens of geometry of the loss and…

机器学习 · 计算机科学 2022-07-22 Debora Caldarola , Barbara Caputo , Marco Ciccone

Adversarial Training (AT), which adversarially perturb the input samples during training, has been acknowledged as one of the most effective defenses against adversarial attacks, yet suffers from inevitably decreased clean accuracy. Instead…

机器学习 · 计算机科学 2024-06-06 Yihao Zhang , Hangzhou He , Jingyu Zhu , Huanran Chen , Yifei Wang , Zeming Wei

Sharpness-aware minimization (SAM) has well-documented merits in enhancing generalization of deep neural network models. Accounting for sharpness in the loss function geometry, where neighborhoods of `flat minima' heighten generalization…

机器学习 · 计算机科学 2025-09-03 Bingcong Li , Yilang Zhang , Georgios B. Giannakis

Sharpness-Aware Minimization (SAM) is most known for achieving state-of the-art performances on natural image and language tasks. However, its most pronounced improvements (of tens of percent) is rather in the presence of label noise.…

机器学习 · 计算机科学 2024-05-07 Christina Baek , Zico Kolter , Aditi Raghunathan