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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

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

Sharpness-Aware Minimization (SAM) has proven highly effective in improving model generalization in machine learning tasks. However, SAM employs a fixed hyperparameter associated with the regularization to characterize the sharpness of the…

Machine Learning · Computer Science 2024-12-24 Jinping Zou , Xiaoge Deng , Tao Sun

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

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

Sharpness-aware minimization (SAM) is a recently proposed training method that seeks to find flat minima in deep learning, resulting in state-of-the-art performance across various domains. Instead of minimizing the loss of the current…

Machine Learning · Computer Science 2023-01-18 Hoki Kim , Jinseong Park , Yujin Choi , Jaewook Lee

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) has attracted considerable attention for its effectiveness in improving generalization in deep neural network training by explicitly minimizing sharpness in the loss landscape. Its success, however, relies…

Machine Learning · Computer Science 2025-06-16 Sungbin Shin , Dongyeop Lee , Maksym Andriushchenko , Namhoon Lee

Deep neural networks have been increasingly used in safety-critical applications such as medical diagnosis and autonomous driving. However, many studies suggest that they are prone to being poorly calibrated and have a propensity for…

Machine Learning · Computer Science 2025-06-02 Chengli Tan , Yubo Zhou , Haishan Ye , Guang Dai , Junmin Liu , Zengjie Song , Jiangshe Zhang , Zixiang Zhao , Yunda Hao , Yong Xu

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…

Machine Learning · Computer Science 2023-03-03 Jiawei Du , Daquan Zhou , Jiashi Feng , Vincent Y. F. Tan , Joey Tianyi Zhou

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…

Machine Learning · Computer Science 2025-09-03 Bingcong Li , Yilang Zhang , Georgios B. Giannakis

Sharpness-aware minimization (SAM) improves generalization of various deep learning tasks. Motivated by popular architectures such as LoRA, we explore the implicit regularization of SAM for scale-invariant problems involving two groups of…

Machine Learning · Computer Science 2024-10-22 Bingcong Li , Liang Zhang , Niao He

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

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

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

Fine-tuning large-scale pre-trained models with limited data presents significant challenges for generalization. While Sharpness-Aware Minimization (SAM) has proven effective in improving generalization by seeking flat minima, its…

Machine Learning · Computer Science 2026-04-21 Yuhang Liu , Tao Li , Zhehao Huang , Zuopeng Yang , Xiaolin Huang

Sharpness-Aware Minimization (SAM) has recently emerged as an effective technique for improving DNN robustness to input variations. However, its interplay with the compactness requirements of on-device DNN deployments remains less explored.…

Computer Vision and Pattern Recognition · Computer Science 2026-01-29 Jialuo He , Huangxun Chen

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

Geometry-aware optimizers such as Newton and natural gradient can improve conditioning in deep learning, but scalable variants such as K-FAC, Shampoo, and related preconditioners usually impose structural approximations early, often…

Machine Learning · Computer Science 2026-05-07 Simon Dufort-Labbé , Pierre-Luc Bacon , Razvan Pascanu , Simon Lacoste-Julien , Aristide Baratin

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