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We consider Sharpness-Aware Minimization (SAM), a gradient-based optimization method for deep networks that has exhibited performance improvements on image and language prediction problems. We show that when SAM is applied with a convex…

机器学习 · 计算机科学 2023-04-12 Peter L. Bartlett , Philip M. Long , Olivier Bousquet

Deep neural networks are typically trained by optimizing a loss function with an SGD variant, in conjunction with a decaying learning rate, until convergence. We show that simple averaging of multiple points along the trajectory of SGD,…

机器学习 · 计算机科学 2019-02-26 Pavel Izmailov , Dmitrii Podoprikhin , Timur Garipov , Dmitry Vetrov , Andrew Gordon Wilson

Hessian based measures of flatness, such as the trace, Frobenius and spectral norms, have been argued, used and shown to relate to generalisation. In this paper we demonstrate that for feed forward neural networks under the cross entropy…

机器学习 · 统计学 2020-06-17 Diego Granziol

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…

机器学习 · 计算机科学 2024-12-24 Jinping Zou , Xiaoge Deng , Tao Sun

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…

机器学习 · 计算机科学 2023-01-06 Kaiyue Wen , Tengyu Ma , Zhiyuan Li

Domain generalization aims to learn a model from multiple training domains and generalize it to unseen test domains. Recent theory has shown that seeking the deep models, whose parameters lie in the flat minima of the loss landscape, can…

计算机视觉与模式识别 · 计算机科学 2025-04-15 Aodi Li , Liansheng Zhuang , Xiao Long , Minghong Yao , Shafei Wang

While Sharpness-Aware Minimization (SAM) improves generalization in deep neural networks by minimizing both loss and sharpness, it suffers from inefficiency in distributed large-batch training. We present Landscape-Smoothed SAM (LSAM), a…

机器学习 · 计算机科学 2025-09-04 Yunfei Teng , Sixin Zhang

Targeting solutions over `flat' regions of the loss landscape, sharpness-aware minimization (SAM) has emerged as a powerful tool to improve generalizability of deep neural network based learning. While several SAM variants have been…

机器学习 · 计算机科学 2025-01-14 Yilang Zhang , Bingcong Li , Georgios B. Giannakis

The paper investigates the fundamental convergence properties of Sharpness-Aware Minimization (SAM), a recently proposed gradient-based optimization method [Foret et al., 2021] that significantly improves the generalization of deep neural…

最优化与控制 · 数学 2024-10-22 Pham Duy Khanh , Hoang-Chau Luong , Boris S. Mordukhovich , Dat Ba Tran

Federated learning (FL) enables collaborative machine learning across distributed data owners, but data heterogeneity poses a challenge for model calibration. While prior work focused on improving accuracy for non-iid data, calibration…

机器学习 · 计算机科学 2024-06-05 Hongyi Peng , Han Yu , Xiaoli Tang , Xiaoxiao Li

Recent studies showed that the generalization of neural networks is correlated with the sharpness of the loss landscape, and flat minima suggests a better generalization ability than sharp minima. In this paper, we propose a novel method…

机器学习 · 计算机科学 2024-05-24 Yuyan Zhou , Ye Li , Lei Feng , Sheng-Jun Huang

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

Sharpness of minima is a promising quantity that can correlate with generalization in deep networks and, when optimized during training, can improve generalization. However, standard sharpness is not invariant under reparametrizations of…

机器学习 · 计算机科学 2023-06-08 Maksym Andriushchenko , Francesco Croce , Maximilian Müller , Matthias Hein , Nicolas Flammarion

Although Federated Learning (FL) enables global model training across clients without compromising their raw data, due to the unevenly distributed data among clients, existing Federated Averaging (FedAvg)-based methods suffer from the…

机器学习 · 计算机科学 2024-07-08 Ming Hu , Zhihao Yue , Xiaofei Xie , Cheng Chen , Yihao Huang , Xian Wei , Xiang Lian , Yang Liu , Mingsong Chen

Data heterogeneity is one of the most challenging issues in federated learning, which motivates a variety of approaches to learn personalized models for participating clients. One such approach in deep neural networks based tasks is…

机器学习 · 计算机科学 2023-06-22 Jian Xu , Xinyi Tong , Shao-Lun Huang

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…

机器学习 · 计算机科学 2024-10-03 Van-Anh Nguyen , Quyen Tran , Tuan Truong , Thanh-Toan Do , Dinh Phung , Trung Le

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

Federated Learning (FL) can be coordinated under the orchestration of a central server to collaboratively build a privacy-preserving model without the need for data exchange. However, participant data heterogeneity leads to local optima…

机器学习 · 计算机科学 2024-08-30 Boyuan Li , Zihao Peng , Yafei Li , Mingliang Xu , Shengbo Chen , Baofeng Ji , Cong Shen

Despite extensive studies, the underlying reason as to why overparameterized neural networks can generalize remains elusive. Existing theory shows that common stochastic optimizers prefer flatter minimizers of the training loss, and thus a…

机器学习 · 计算机科学 2023-07-25 Kaiyue Wen , Zhiyuan Li , Tengyu Ma

Graph Neural Networks (GNNs) have shown superior performance in node classification. However, GNNs perform poorly in the Few-Shot Node Classification (FSNC) task that requires robust generalization to make accurate predictions for unseen…

机器学习 · 计算机科学 2024-10-23 Yihong Luo , Yuhan Chen , Siya Qiu , Yiwei Wang , Chen Zhang , Yan Zhou , Xiaochun Cao , Jing Tang