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We study the implicit bias of Sharpness-Aware Minimization (SAM) when training $L$-layer linear diagonal networks on linearly separable binary classification. For linear models ($L=1$), both $\ell_\infty$- and $\ell_2$-SAM recover the…

Machine Learning · Computer Science 2026-05-19 Chaewon Moon , Dongkuk Si , Chulhee Yun

Sparse training reduces the memory and computational costs of deep neural networks. However, sparse optimization methods, e.g., those adding an $\ell_1$ penalty, often control sparsity only indirectly through a regularization parameter…

Machine Learning · Computer Science 2026-05-21 Ahmad Aloradi , Tim Roith , Emanuël A. P. Habets , Daniel Tenbrinck

Adaptive Mesh Refinement (AMR) enhances the Finite Element Method, an important technique for simulating complex problems in engineering, by dynamically refining mesh regions, enabling a favorable trade-off between computational speed and…

Multiagent Systems · Computer Science 2023-10-11 Niklas Freymuth , Philipp Dahlinger , Tobias Würth , Simon Reisch , Luise Kärger , Gerhard Neumann

Regularization is essential in deep learning to enhance generalization and mitigate overfitting. However, conventional techniques often rely on heuristics, making them less reliable or effective across diverse settings. We propose Self…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Xiuding Cai , Yaoyao Zhu , Linjie Fu , Dong Miao , Yu Yao

Supervised classification is the most active and emerging research trends in today's scenario. In this view, Artificial Neural Network (ANN) techniques have been widely employed and growing interest to the researchers day by day. ANN…

Machine Learning · Computer Science 2019-05-16 Arijit Nandi , Nanda Dulal Jana

Segment Anything Model (SAM) has received remarkable attention as it offers a powerful and versatile solution for object segmentation in images. However, fine-tuning SAM for downstream segmentation tasks under different scenarios remains a…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Zelin Peng , Zhengqin Xu , Zhilin Zeng , Xiaokang Yang , Wei Shen

A range of defense methods have been proposed to improve the robustness of neural networks on adversarial examples, among which provable defense methods have been demonstrated to be effective to train neural networks that are certifiably…

Machine Learning · Computer Science 2021-01-21 Mengting Xu , Tao Zhang , Zhongnian Li , Daoqiang Zhang

There has been a lot of recent research on improving the efficiency of fine-tuning foundation models. In this paper, we propose a novel efficient fine-tuning method that allows the input image size of Segment Anything Model (SAM) to be…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Sota Kato , Hinako Mitsuoka , Kazuhiro Hotta

Network regularization is an effective tool for incorporating structural prior knowledge to learn coherent models over networks, and has yielded provably accurate estimates in applications ranging from spatial economics to neuroimaging…

Machine Learning · Computer Science 2020-06-02 Hongyuan You , Furkan Kocayusufoglu , Ambuj K. Singh

We study the SAM (Sharpness-Aware Minimization) optimizer which has recently attracted a lot of interest due to its increased performance over more classical variants of stochastic gradient descent. Our main contribution is the derivation…

Machine Learning · Computer Science 2023-06-06 Enea Monzio Compagnoni , Luca Biggio , Antonio Orvieto , Frank Norbert Proske , Hans Kersting , Aurelien Lucchi

Normalization methods play an important role in enhancing the performance of deep learning while their theoretical understandings have been limited. To theoretically elucidate the effectiveness of normalization, we quantify the geometry of…

Machine Learning · Statistics 2019-10-29 Ryo Karakida , Shotaro Akaho , Shun-ichi Amari

Deep neural networks have become very popular in modeling complex nonlinear processes due to their extraordinary ability to fit arbitrary nonlinear functions from data with minimal expert intervention. However, they are almost always…

Chemical Physics · Physics 2023-01-16 Erlend Torje Berg Lundby , Adil Rasheed , Ivar Johan Halvorsen , Jan Tommy Gravdahl

We propose a Regularized Adaptive Momentum Dual Averaging (RAMDA) algorithm for training structured neural networks. Similar to existing regularized adaptive methods, the subproblem for computing the update direction of RAMDA involves a…

Machine Learning · Computer Science 2024-12-30 Zih-Syuan Huang , Ching-pei Lee

Classic zeroth-order optimization approaches typically optimize for a smoothed version of the original function, i.e., the expected objective under randomly perturbed model parameters. This can be interpreted as encouraging the loss values…

Machine Learning · Computer Science 2025-10-21 Xuchen Gong , Tian Li

Regularizing Deep Neural Networks (DNNs) is essential for improving generalizability and preventing overfitting. Fixed penalty methods, though common, lack adaptability and suffer from hyperparameter sensitivity. In this paper, we propose a…

Machine Learning · Computer Science 2023-10-26 Diogo Lavado , Cláudia Soares , Alessandra Micheletti

Long-tail learning has garnered widespread attention and achieved significant progress in recent times. However, even with pre-trained prior knowledge, models still exhibit weaker generalization performance on tail classes. The promising…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Mengke Li , Ye Liu , Yang Lu , Yiqun Zhang , Yiu-ming Cheung , Hui Huang

The success of large language models has inspired the computer vision community to explore image segmentation foundation model that is able to zero/few-shot generalize through prompt engineering. Segment-Anything(SAM), among others, is the…

Computer Vision and Pattern Recognition · Computer Science 2024-04-11 Haojie Zhang , Yongyi Su , Xun Xu , Kui Jia

While the traditional formulation of machine learning tasks is in terms of performance on average, in practice we are often interested in how well a trained model performs on rare or difficult data points at test time. To achieve more…

Machine Learning · Computer Science 2025-12-29 Matthew J. Holland , Toma Hamada

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…

Machine Learning · Computer Science 2024-06-07 Philip M. Long , Peter L. Bartlett

In this work, we propose a new transformer-based regularization to better localize objects for Weakly supervised semantic segmentation (WSSS). In image-level WSSS, Class Activation Map (CAM) is adopted to generate object localization as…

Computer Vision and Pattern Recognition · Computer Science 2023-09-26 Weixuan Sun , Yanhao Zhang , Zhen Qin , Zheyuan Liu , Lin Cheng , Fanyi Wang , Yiran Zhong , Nick Barnes