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We analyze the landscape and training dynamics of diagonal linear networks in a linear regression task, with the network parameters being perturbed by small isotropic normal noise. The addition of such noise may be interpreted as a…

Machine Learning · Computer Science 2025-03-18 Gabriel Clara , Sophie Langer , Johannes Schmidt-Hieber

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

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

The capacity to generalize to future unseen data stands as one of the utmost crucial attributes of deep neural networks. Sharpness-Aware Minimization (SAM) aims to enhance the generalizability by minimizing worst-case loss using one-step…

Machine Learning · Computer Science 2023-12-27 Tao Wu , Tie Luo , Donald C. Wunsch

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

Optimization algorithms that seek flatter minima, such as Sharpness-Aware Minimization (SAM), are credited with improved generalization and robustness to noise. We ask whether such gains impact membership privacy. Surprisingly, we find that…

Machine Learning · Computer Science 2026-01-29 Young In Kim , Andrea Agiollo , Pratiksha Agrawal , Johannes O. Royset , Rajiv Khanna

In multimodal learning, dominant modalities often overshadow others, limiting generalization. We propose Modality-Aware Sharpness-Aware Minimization (M-SAM), a model-agnostic framework that applies to many modalities and supports early and…

Computer Vision and Pattern Recognition · Computer Science 2025-10-30 Hossein R. Nowdeh , Jie Ji , Xiaolong Ma , Fatemeh Afghah

Sharpness-aware minimization (SAM) is an effective method for improving the generalization of federated learning (FL) by steering local training toward flat minima. Under data heterogeneity, however, device-side SAM searches for locally…

Machine Learning · Computer Science 2026-05-12 Bingnan Xiao , Yuan Gao , Bingcong Li , Wei Ni , Xin Wang , Tony Q. S. Quek

The challenge of fine-grained visual recognition often lies in discovering the key discriminative regions. While such regions can be automatically identified from a large-scale labeled dataset, a similar method might become less effective…

Computer Vision and Pattern Recognition · Computer Science 2022-08-02 Yangyang Shu , Baosheng Yu , Haiming Xu , Lingqiao Liu

Sharpness-aware minimization (SAM) encourages flat minima by perturbing parameters along directions of high loss curvature, but treats all parameter directions uniformly, ignoring the underlying loss geometry. We introduce LLQR+SAM, which…

Machine Learning · Computer Science 2026-05-18 Simon Dufort-Labbé , Mehrab Hamidi , Razvan Pascanu , Ioannis Mitliagkas , Damien Scieur , Aristide Baratin

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

Despite attaining high empirical generalization, the sharpness of models trained with sharpness-aware minimization (SAM) do not always correlate with generalization error. Instead of viewing SAM as minimizing sharpness to improve…

Machine Learning · Computer Science 2024-06-12 Ankit Vani , Frederick Tung , Gabriel L. Oliveira , Hossein Sharifi-Noghabi

Regression is fundamental in computer vision and is widely used in various tasks including age estimation, depth estimation, target localization, \etc However, real-world data often exhibits imbalanced distribution, making regression models…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Yahao Liu , Qin Wang , Lixin Duan , Wen Li

It is commonly believed that gradient compression in federated learning (FL) enjoys significant improvement in communication efficiency with negligible performance degradation. In this paper, we find that gradient compression induces…

Machine Learning · Computer Science 2026-02-13 Yujie Gu , Richeng Jin , Zhaoyang Zhang , Huaiyu Dai

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) enhances generalization by minimizing the maximum training loss within a predefined neighborhood around the parameters. However, its practical implementation approximates this as gradient ascent(s)…

Machine Learning · Computer Science 2026-03-12 Jianlong Chen , Zhiming Zhou

When training deep neural networks with gradient descent, sharpness often increases -- a phenomenon known as progressive sharpening -- before saturating at the edge of stability. Although commonly observed in practice, the underlying…

Machine Learning · Computer Science 2025-06-10 Geonhui Yoo , Minhak Song , Chulhee Yun

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…

Machine Learning · Computer Science 2023-04-11 Yang Zhao , Hao Zhang , Xiuyuan Hu

Neural networks trained by empirical risk minimization often suffer from overfitting, especially to specific samples or domains, which leads to poor generalization. Curriculum Learning (CL) addresses this issue by selecting training samples…

Computer Vision and Pattern Recognition · Computer Science 2025-08-27 Hiroaki Aizawa , Yoshikazu Hayashi

Image classification models trained on clean data often suffer from significant performance degradation when exposed to testing corrupted data, such as images with impulse noise, Gaussian noise, or environmental noise. This degradation not…

Machine Learning · Computer Science 2025-04-01 Yucong Dai , Jie Ji , Xiaolong Ma , Yongkai Wu
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