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Sharpness-Aware Minimization (SAM) is an optimization method that improves generalization performance of machine learning models. Despite its superior generalization, SAM has not been actively used in real-world applications due to its…

Machine Learning · Computer Science 2025-03-17 Junhyuk Jo , Jihyun Lim , Sunwoo Lee

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

Fine-tuning large pretrained language models on a limited training corpus usually suffers from poor generalization. Prior works show that the recently-proposed sharpness-aware minimization (SAM) optimization method can improve the model…

Computation and Language · Computer Science 2022-10-12 Qihuang Zhong , Liang Ding , Li Shen , Peng Mi , Juhua Liu , Bo Du , Dacheng Tao

Hybrid modeling, the combination of machine learning models and scientific mathematical models, enables flexible and robust data-driven prediction with partial interpretability. However, effectively the scientific models may be ignored in…

Machine Learning · Computer Science 2026-02-09 Naoya Takeishi

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…

Machine Learning · Computer Science 2021-06-30 Jungmin Kwon , Jeongseop Kim , Hyunseo Park , In Kwon Choi

Sharpness-Aware Minimization (SAM) has emerged as a powerful method for improving generalization in machine learning models by minimizing the sharpness of the loss landscape. However, despite its success, several important questions…

Optimization and Control · Mathematics 2025-03-05 Dimitris Oikonomou , Nicolas Loizou

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…

Machine Learning · Computer Science 2022-07-22 Debora Caldarola , Barbara Caputo , Marco Ciccone

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) 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

Flat minima, known to enhance generalization and robustness in supervised learning, remain largely unexplored in generative models. In this work, we systematically investigate the role of loss surface flatness in generative models, both…

Computer Vision and Pattern Recognition · Computer Science 2025-08-07 Taehwan Lee , Kyeongkook Seo , Jaejun Yoo , Sung Whan Yoon

Deep neural networks are often overparameterized and may not easily achieve model generalization. Adversarial training has shown effectiveness in improving generalization by regularizing the change of loss on top of adversarially chosen…

Machine Learning · Computer Science 2022-12-07 Wenxuan Zhou , Fangyu Liu , Huan Zhang , Muhao Chen

The sharpness-aware minimization (SAM) algorithm and its variants, including gap guided SAM (GSAM), have been successful at improving the generalization capability of deep neural network models by finding flat local minima of the empirical…

Machine Learning · Computer Science 2024-09-17 Hinata Harada , Hideaki Iiduka

Overparametrized Deep Neural Networks (DNNs) often achieve astounding performances, but may potentially result in severe generalization error. Recently, the relation between the sharpness of the loss landscape and the generalization error…

Artificial Intelligence · Computer Science 2022-05-31 Jiawei Du , Hanshu Yan , Jiashi Feng , Joey Tianyi Zhou , Liangli Zhen , Rick Siow Mong Goh , Vincent Y. F. Tan

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…

Machine Learning · Computer Science 2022-10-14 Zhiyuan Zhang , Ruixuan Luo , Qi Su , Xu Sun

Sharpness-aware minimization (SAM) is to improve model generalization by searching for flat minima in the loss landscape. The SAM update consists of one step for computing the perturbation and the other for computing the update gradient.…

Machine Learning · Computer Science 2024-08-16 Xuehao Wang , Weisen Jiang , Shuai Fu , Yu Zhang

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…

Machine Learning · Computer Science 2024-11-05 Nalin Tiwary , Siddarth Aananth

The recently proposed Sharpness-Aware Minimization (SAM) improves generalization by minimizing a \textit{perturbed loss} defined as the maximum loss within a neighborhood in the parameter space. However, we show that both sharp and flat…

Machine Learning · Computer Science 2022-03-22 Juntang Zhuang , Boqing Gong , Liangzhe Yuan , Yin Cui , Hartwig Adam , Nicha Dvornek , Sekhar Tatikonda , James Duncan , Ting Liu

Sharpness-aware minimization (SAM) has emerged as a highly effective technique to improve model generalization, but its underlying principles are not fully understood. We investigate m-sharpness, where SAM performance improves monotonically…

Machine Learning · Computer Science 2026-04-03 Haocheng Luo , Mehrtash Harandi , Dinh Phung , Trung Le

Deep Neural Networks (DNNs) generalization is known to be closely related to the flatness of minima, leading to the development of Sharpness-Aware Minimization (SAM) for seeking flatter minima and better generalization. In this paper, we…

Machine Learning · Computer Science 2024-12-06 Yun Yue , Jiadi Jiang , Zhiling Ye , Ning Gao , Yongchao Liu , Ke Zhang

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