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Sharpness-Aware Minimization (SAM) is a recently proposed gradient-based optimizer (Foret et al., ICLR 2021) that greatly improves the prediction performance of deep neural networks. Consequently, there has been a surge of interest in…

Machine Learning · Computer Science 2023-10-24 Yan Dai , Kwangjun Ahn , Suvrit Sra

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…

Machine Learning · Computer Science 2023-04-12 Peter L. Bartlett , Philip M. Long , Olivier Bousquet

Recently, there has been a surge in interest in developing optimization algorithms for overparameterized models as achieving generalization is believed to require algorithms with suitable biases. This interest centers on minimizing…

Machine Learning · Computer Science 2026-02-05 Behrooz Tahmasebi , Ashkan Soleymani , Dara Bahri , Stefanie Jegelka , Patrick Jaillet

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

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) enhances performance across various neural architectures and datasets. As models are continually scaled up to improve performance, a rigorous understanding of SAM's scaling behaviour is paramount. To this…

Machine Learning · Computer Science 2025-02-12 Moritz Haas , Jin Xu , Volkan Cevher , Leena Chennuru Vankadara

Recently, flat minima are proven to be effective for improving generalization and sharpness-aware minimization (SAM) achieves state-of-the-art performance. Yet the current definition of flatness discussed in SAM and its follow-ups are…

Machine Learning · Computer Science 2023-07-07 Xingxuan Zhang , Renzhe Xu , Han Yu , Hao Zou , Peng Cui

Sharpness-aware minimization (SAM) is to improve model generalization by searching for flat minima in the loss landscape. The SAM update consists of one step for computing the perturbation and the other for computing the update gradient.…

Machine Learning · Computer Science 2024-08-16 Xuehao Wang , Weisen Jiang , Shuai Fu , Yu Zhang

Sharpness-aware minimization (SAM) is a recently proposed method that minimizes the sharpness of the training loss of a neural network. While its generalization improvement is well-known and is the primary motivation, we uncover an…

Machine Learning · Computer Science 2023-10-31 Maksym Andriushchenko , Dara Bahri , Hossein Mobahi , Nicolas Flammarion

The recently proposed Broximal Point Method (BPM) [Gruntkowska et al., 2025] offers an idealized optimization framework based on iteratively minimizing the objective function over norm balls centered at the current iterate. It enjoys…

Optimization and Control · Mathematics 2025-10-02 Kaja Gruntkowska , Peter Richtárik

We consider the problems of clustering, classification, and visualization of high-dimensional data when no straightforward Euclidean representation exists. Typically, these tasks are performed by first reducing the high-dimensional data to…

Machine Learning · Statistics 2009-09-29 Kevin M. Carter , Raviv Raich , William G. Finn , Alfred O. Hero

Recently, Sharpness-Aware Minimization (SAM) has shown state-of-the-art performance by seeking flat minima. To minimize the maximum loss within a neighborhood in the parameter space, SAM uses an ascent step, which perturbs the weights along…

Machine Learning · Computer Science 2023-02-22 Hoki Kim , Jinseong Park , Yujin Choi , Woojin Lee , Jaewook Lee

This paper rethinks Sharpness-Aware Minimization (SAM), which is originally formulated as a zero-sum game where the weights of a network and a bounded perturbation try to minimize/maximize, respectively, the same differentiable loss. To…

Machine Learning · Computer Science 2024-07-19 Wanyun Xie , Fabian Latorre , Kimon Antonakopoulos , Thomas Pethick , Volkan Cevher

Sharpness-Aware Minimization (SAM) has emerged as a powerful method for improving generalization in machine learning models by minimizing the sharpness of the loss landscape. However, despite its success, several important questions…

Optimization and Control · Mathematics 2025-03-05 Dimitris Oikonomou , Nicolas Loizou

Graph Neural Networks (GNNs) have achieved remarkable success across various graph-based tasks but remain highly sensitive to distribution shifts. In this work, we focus on a prevalent yet under-explored phenomenon in graph generalization,…

Machine Learning · Computer Science 2026-02-10 Yang Qiu , Yixiong Zou , Jun Wang

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…

Machine Learning · Computer Science 2024-10-23 Yihong Luo , Yuhan Chen , Siya Qiu , Yiwei Wang , Chen Zhang , Yan Zhou , Xiaochun Cao , Jing Tang

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…

Machine Learning · Computer Science 2025-10-03 Marlon Becker , Frederick Altrock , Benjamin Risse

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…

Machine Learning · Computer Science 2026-03-10 Haoran Tang , Rajiv Khanna

Curvature regularization techniques like Sharpness Aware Minimization (SAM) have shown great promise in improving generalization on vision tasks. However, we find that SAM performs poorly in domains like natural language processing (NLP),…

Machine Learning · Computer Science 2025-02-05 Sidak Pal Singh , Hossein Mobahi , Atish Agarwala , Yann Dauphin

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