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Related papers: Stability Analysis of Sharpness-Aware Minimization

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Empirically, modern deep learning training often occurs at the Edge of Stability (EoS), where the sharpness of the loss exceeds the threshold below which classical convergence analysis applies. Despite recent progress, existing theoretical…

Machine Learning · Computer Science 2026-04-14 Eric Gan

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…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Jiaxin Deng , Junbiao Pang

Tabular learning transforms raw features into optimized spaces for downstream tasks, but its effectiveness deteriorates under distribution shifts between training and testing data. We formalize this challenge as the Distribution Shift…

Machine Learning · Computer Science 2025-08-28 Wangyang Ying , Nanxu Gong , Dongjie Wang , Xinyuan Wang , Arun Vignesh Malarkkan , Vivek Gupta , Chandan K. Reddy , Yanjie Fu

This paper proposes a novel simultaneous localization and mapping (SLAM) approach, namely Attention-SLAM, which simulates human navigation mode by combining a visual saliency model (SalNavNet) with traditional monocular visual SLAM. Most…

Computer Vision and Pattern Recognition · Computer Science 2020-09-16 Jinquan Li , Ling Pei , Danping Zou , Songpengcheng Xia , Qi Wu , Tao Li , Zhen Sun , Wenxian Yu

Curvature information -- particularly, the largest eigenvalue of the loss Hessian, known as the sharpness -- often forms the basis for learning rate tuners. However, recent work has shown that the curvature information undergoes complex…

Machine Learning · Computer Science 2024-07-09 Vincent Roulet , Atish Agarwala , Jean-Bastien Grill , Grzegorz Swirszcz , Mathieu Blondel , Fabian Pedregosa

Saddle dynamics is a time continuous dynamics to efficiently compute the any-index saddle points and construct the solution landscape. In practice, the saddle dynamics needs to be discretized for numerical computations, while the…

Numerical Analysis · Mathematics 2022-09-01 Yue Luo , Xiangcheng Zheng , Xiangle Cheng , Lei Zhang

Recent studies highlight that deep learning models often learn spurious features mistakenly linked to labels, compromising their reliability in real-world scenarios where such correlations do not hold. Despite the increasing research…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Xiwei Xuan , Ziquan Deng , Hsuan-Tien Lin , Kwan-Liu Ma

Deep learning systems achieve remarkable empirical performance, yet the stability of the training process itself remains poorly understood. Training unfolds as a high-dimensional dynamical system in which small perturbations to…

Machine Learning · Computer Science 2026-01-21 Zhipeng Zhang , Zhenjie Yao , Kai Li , Lei Yang

Stochastically controlled stochastic gradient (SCSG) methods have been proved to converge efficiently to first-order stationary points which, however, can be saddle points in nonconvex optimization. It has been observed that a stochastic…

Optimization and Control · Mathematics 2021-04-26 Guannan Liang , Qianqian Tong , Chunjiang Zhu , Jinbo Bi

Decentralized optimization methods have been in the focus of optimization community due to their scalability, increasing popularity of parallel algorithms and many applications. In this work, we study saddle point problems of sum type,…

Optimization and Control · Mathematics 2021-10-26 Aleksandr Beznosikov , Alexander Rogozin , Dmitry Kovalev , Alexander Gasnikov

Real-world datasets often follow a long-tailed distribution, making generalization to tail classes difficult. Recent methods resorted to long-tail variants of Sharpness-Aware Minimization (SAM), such as ImbSAM and CC-SAM, to improve…

Machine Learning · Computer Science 2025-06-04 Sicong Li , Qianqian Xu , Zhiyong Yang , Zitai Wang , Linchao Zhang , Xiaochun Cao , Qingming Huang

The rise of computer vision applications in the real world puts the security of the deep neural networks at risk. Recent works demonstrate that convolutional neural networks are susceptible to adversarial examples - where the input images…

Computer Vision and Pattern Recognition · Computer Science 2024-08-22 Sina Hajer Ahmadi , Hassan Bahrami

In this paper, a sparsity-aware adaptive algorithm for distributed learning in diffusion networks is developed. The algorithm follows the set-theoretic estimation rationale. At each time instance and at each node of the network, a closed…

Information Theory · Computer Science 2015-06-03 Symeon Chouvardas , Konstantinos Slavakis , Yannis Kopsinis , Sergios Theodoridis

Optimizing non-convex functions is of primary importance in the vast majority of machine learning algorithms. Even though many gradient descent based algorithms have been studied, successive convex approximation based algorithms have been…

Optimization and Control · Mathematics 2019-03-06 Amrit Singh Bedi , Ketan Rajawat , Vaneet Aggarwal

Sharpness-aware and gradient-alignment methods have been shown to improve generalization, however each family of methods targets a single geometric property of the loss landscape, while ignoring the other. In this paper, we show that this…

Machine Learning · Computer Science 2026-05-11 Aristotelis Ballas , Christos Diou

We consider convex-concave saddle-point problems where the objective functions may be split in many components, and extend recent stochastic variance reduction methods (such as SVRG or SAGA) to provide the first large-scale linearly…

Machine Learning · Computer Science 2016-11-04 P Balamurugan , Francis Bach

In this paper we study the stability and its trade-off with optimization error for stochastic gradient descent (SGD) algorithms in the pairwise learning setting. Pairwise learning refers to a learning task which involves a loss function…

Machine Learning · Computer Science 2019-04-29 Wei Shen , Zhenhuan Yang , Yiming Ying , Xiaoming Yuan

Segment Anything Model (SAM) has gained considerable interest in recent times for its remarkable performance and has emerged as a foundational model in computer vision. It has been integrated in diverse downstream tasks, showcasing its…

Computer Vision and Pattern Recognition · Computer Science 2023-06-26 Xinru Shan , Chaoning Zhang

Training deep reinforcement learning (RL) agents necessitates overcoming the highly unstable nonconvex stochastic optimization inherent in the trial-and-error mechanism. To tackle this challenge, we propose a physics-inspired optimization…

Machine Learning · Computer Science 2024-12-10 Yao Lyu , Xiangteng Zhang , Shengbo Eben Li , Jingliang Duan , Letian Tao , Qing Xu , Lei He , Keqiang Li

Recent research identified a temporary performance drop on previously learned tasks when transitioning to a new one. This drop is called the stability gap and has great consequences for continual learning: it complicates the direct…

Machine Learning · Computer Science 2024-06-10 Sandesh Kamath , Albin Soutif-Cormerais , Joost van de Weijer , Bogdan Raducanu
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