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Understanding the dynamics of optimization in deep learning is increasingly important as models scale. While stochastic gradient descent (SGD) and its variants reliably find solutions that generalize well, the mechanisms driving this…

机器学习 · 计算机科学 2026-04-07 Wei-Kai Chang , Rajiv Khanna

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…

机器学习 · 计算机科学 2023-01-30 Jean Kaddour , Linqing Liu , Ricardo Silva , Matt J. Kusner

Graph Neural Networks (GNNs) have achieved impressive performance in collaborative filtering. However, GNNs tend to yield inferior performance when the distributions of training and test data are not aligned well. Also, training GNNs…

机器学习 · 计算机科学 2023-07-19 Huiyuan Chen , Chin-Chia Michael Yeh , Yujie Fan , Yan Zheng , Junpeng Wang , Vivian Lai , Mahashweta Das , Hao Yang

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…

机器学习 · 计算机科学 2025-06-02 Chengli Tan , Yubo Zhou , Haishan Ye , Guang Dai , Junmin Liu , Zengjie Song , Jiangshe Zhang , Zixiang Zhao , Yunda Hao , Yong Xu

Sharpness-Aware Minimization (SAM) was introduced to improve generalization by seeking flat minima, yet it also exhibits robustness to label noise, a phenomenon that remains only partially understood. Prior work has mainly attributed this…

机器学习 · 计算机科学 2026-03-31 Hoang-Chau Luong , Quang-Thuc Nguyen , Dat Ba Tran , Minh-Triet Tran

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…

神经与进化计算 · 计算机科学 2024-05-20 Illya Bakurov , Nathan Haut , Wolfgang Banzhaf

Recent experiments have shown that, often, when training a neural network with gradient descent (GD) with a step size $\eta$, the operator norm of the Hessian of the loss grows until it approximately reaches $2/\eta$, after which it…

机器学习 · 计算机科学 2024-06-07 Philip M. Long , Peter L. Bartlett

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…

计算机视觉与模式识别 · 计算机科学 2025-08-07 Taehwan Lee , Kyeongkook Seo , Jaejun Yoo , Sung Whan Yoon

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…

机器学习 · 计算机科学 2024-06-12 Ankit Vani , Frederick Tung , Gabriel L. Oliveira , Hossein Sharifi-Noghabi

Sharpness-aware minimization (SAM) is known to improve the generalization performance of neural networks. However, it is not widely used in real-world applications yet due to its expensive model perturbation cost. A few variants of SAM have…

机器学习 · 计算机科学 2025-03-19 Sunwoo Lee

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

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…

机器学习 · 计算机科学 2025-10-03 Marlon Becker , Frederick Altrock , Benjamin Risse

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…

机器学习 · 计算机科学 2026-04-03 Haocheng Luo , Mehrtash Harandi , Dinh Phung , Trung Le

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…

机器学习 · 计算机科学 2022-10-25 Renkun Ni , Ping-yeh Chiang , Jonas Geiping , Micah Goldblum , Andrew Gordon Wilson , Tom Goldstein

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…

计算机视觉与模式识别 · 计算机科学 2025-10-07 Jiaxin Deng , Junbiao Pang

We characterize the effectiveness of Sharpness-aware minimization (SAM) under machine unlearning scheme, where unlearning forget signals interferes with learning retain signals. While previous work prove that SAM improves generalization…

机器学习 · 计算机科学 2026-03-10 Haoran Tang , Rajiv Khanna

Modern machine learning applications have witnessed the remarkable success of optimization algorithms that are designed to find flat minima. Motivated by this design choice, we undertake a formal study that (i) formulates the notion of flat…

机器学习 · 计算机科学 2024-05-28 Kwangjun Ahn , Ali Jadbabaie , Suvrit Sra

Sharpness-aware Minimization (SAM) improves generalization in large-scale model training by linking loss landscape geometry to generalization. However, challenges such as mislabeled noisy data and privacy concerns have emerged as…

机器学习 · 计算机科学 2025-07-08 Chenyang Ren , Yifan Jia , Huanyi Xie , Zhaobin Xu , Tianxing Wei , Liangyu Wang , Lijie Hu , Di Wang

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…

计算机视觉与模式识别 · 计算机科学 2025-10-30 Hossein R. Nowdeh , Jie Ji , Xiaolong Ma , Fatemeh Afghah

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…