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In federated learning (FL), multi-step local updates and data heterogeneity usually lead to sharper global minima, which degrades the performance of the global model. Popular FL algorithms integrate sharpness-aware minimization (SAM) into…

Machine Learning · Computer Science 2026-04-21 Junkang Liu , Fanhua Shang , Yuxuan Tian , Hongying Liu , Yuanyuan Liu

Federated learning (FL) enables collaborative model training with privacy preservation. Data heterogeneity across edge devices (clients) can cause models to converge to sharp minima, negatively impacting generalization and robustness.…

Artificial Intelligence · Computer Science 2025-04-01 Debora Caldarola , Pietro Cagnasso , Barbara Caputo , Marco Ciccone

Federated Learning (FL) enables collaborative model training across decentralized edge devices while preserving data privacy. However, statistical heterogeneity among clients, often manifested as non-IID label distributions, poses…

Machine Learning · Computer Science 2026-01-06 Sameer Rahil , Zain Abdullah Ahmad , Talha Asif

In federated learning (FL), the multi-step update and data heterogeneity among clients often lead to a loss landscape with sharper minima, degenerating the performance of the resulted global model. Prevalent federated approaches incorporate…

Machine Learning · Computer Science 2024-05-30 Ziqing Fan , Shengchao Hu , Jiangchao Yao , Gang Niu , Ya Zhang , Masashi Sugiyama , Yanfeng Wang

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

In federated learning (FL), models must \emph{converge quickly} under tight communication budgets while \emph{generalizing} across non-IID client distributions. These twin requirements have naturally led to two widely used techniques:…

Machine Learning · Computer Science 2025-12-01 Tianle Li , Yongzhi Huang , Linshan Jiang , Chang Liu , Qipeng Xie , Wenfeng Du , Lu Wang , Kaishun Wu

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

Federated Learning (FL) is a promising framework for performing privacy-preserving, distributed learning with a set of clients. However, the data distribution among clients often exhibits non-IID, i.e., distribution shift, which makes…

Machine Learning · Computer Science 2022-06-07 Zhe Qu , Xingyu Li , Rui Duan , Yao Liu , Bo Tang , Zhuo Lu

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 emerged as a promising alternative optimizer to stochastic gradient descent (SGD). The originally-proposed motivation behind SAM was to bias neural networks towards flatter minima that are believed to…

Machine Learning · Computer Science 2024-06-03 Jacob Mitchell Springer , Vaishnavh Nagarajan , Aditi Raghunathan

Sharpness-aware minimization (SAM) has well documented merits in enhancing generalization of deep neural networks, even without sizable data augmentation. Embracing the geometry of the loss function, where neighborhoods of 'flat minima'…

Machine Learning · Computer Science 2023-12-25 Bingcong Li , Georgios B. Giannakis

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) aims to improve the generalisation of gradient-based learning by seeking out flat minima. In this work, we establish connections between SAM and Mean-Field Variational Inference (MFVI) of neural network…

Machine Learning · Statistics 2022-10-20 Szilvia Ujváry , Zsigmond Telek , Anna Kerekes , Anna Mészáros , Ferenc Huszár

In federated learning (FL), a cluster of local clients are chaired under the coordination of the global server and cooperatively train one model with privacy protection. Due to the multiple local updates and the isolated non-iid dataset,…

Machine Learning · Computer Science 2024-04-02 Yan Sun , Li Shen , Shixiang Chen , Liang Ding , Dacheng Tao

Modern deep learning models are over-parameterized, where different optima can result in widely varying generalization performance. The Sharpness-Aware Minimization (SAM) technique modifies the fundamental loss function that steers gradient…

Sharpness-Aware Minimization (SAM) improves generalization by minimizing the worst-case loss within a fixed parameter-space radius neighborhood. SAM and its variants mainly rely on a first-order linearized surrogate, while flat minima are…

Machine Learning · Computer Science 2026-05-12 Jinping Wang , Qinhan Liu , Zhiwu Xie , Zhiqiang Gao

Sharpness-Aware Minimization (SAM) is a recent optimization framework aiming to improve the deep neural network generalization, through obtaining flatter (i.e. less sharp) solutions. As SAM has been numerically successful, recent papers…

Machine Learning · Statistics 2023-05-22 Kayhan Behdin , Rahul Mazumder

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…

Machine Learning · Computer Science 2024-08-30 Boyuan Li , Zihao Peng , Yafei Li , Mingliang Xu , Shengbo Chen , Baofeng Ji , Cong Shen

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…

Machine Learning · Computer Science 2025-01-14 Yilang Zhang , Bingcong Li , Georgios B. Giannakis

Sharpness-Aware Minimization (SAM) is a recent training method that relies on worst-case weight perturbations which significantly improves generalization in various settings. We argue that the existing justifications for the success of SAM…

Machine Learning · Computer Science 2022-06-14 Maksym Andriushchenko , Nicolas Flammarion
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