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Despite the rapid progress of neural networks, they remain highly vulnerable to adversarial examples, for which adversarial training (AT) is currently the most effective defense. While AT has been extensively studied, its practical…

Machine Learning · Computer Science 2025-10-16 Yisen Wang , Yichuan Mo , Hongjun Wang , Junyi Li , Zhouchen Lin

Adversarial training deep neural networks often experience serious overfitting problem. Recently, it is explained that the overfitting happens because the sample complexity of training data is insufficient to generalize robustness. In…

Machine Learning · Computer Science 2020-09-23 Joong-Won Hwang , Youngwan Lee , Sungchan Oh , Yuseok Bae

Deep neural networks (DNNs) are incredibly vulnerable to crafted, imperceptible adversarial perturbations. While adversarial training (AT) has proven to be an effective defense approach, the AT mechanism for robustness improvement is not…

Computer Vision and Pattern Recognition · Computer Science 2023-06-27 Binxiao Huang , Rui Lin , Chaofan Tao , Ngai Wong

In this paper we aim to explore the general robustness of neural network classifiers by utilizing adversarial as well as natural perturbations. Different from previous works which mainly focus on studying the robustness of neural networks…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Sadaf Gulshad , Jan Hendrik Metzen , Arnold Smeulders

Adversarial Training (AT) has been demonstrated as one of the most effective methods against adversarial examples. While most existing works focus on AT with a single type of perturbation e.g., the $\ell_\infty$ attacks), DNNs are facing…

Machine Learning · Computer Science 2022-10-04 Jiancong Xiao , Zeyu Qin , Yanbo Fan , Baoyuan Wu , Jue Wang , Zhi-Quan Luo

Neural networks trained by empirical risk minimization often suffer from overfitting, especially to specific samples or domains, which leads to poor generalization. Curriculum Learning (CL) addresses this issue by selecting training samples…

Computer Vision and Pattern Recognition · Computer Science 2025-08-27 Hiroaki Aizawa , Yoshikazu Hayashi

We propose a novel random walk-based algorithm for unbiased estimation of arbitrary functions of a weighted adjacency matrix, coined universal graph random features (u-GRFs). This includes many of the most popular examples of kernels…

Machine Learning · Statistics 2024-05-27 Isaac Reid , Krzysztof Choromanski , Eli Berger , Adrian Weller

A stable or locally-optimal cut of a graph is a cut whose weight cannot be increased by changing the side of a single vertex. In this paper we study Minimum Stable Cut, the problem of finding a stable cut of minimum weight. Since this…

Computational Complexity · Computer Science 2026-04-08 Michael Lampis

Generalisation of a deep neural network (DNN) is one major concern when employing the deep learning approach for solving practical problems. In this paper we propose a new technique, named approximated orthonormal normalisation (AON), to…

Machine Learning · Computer Science 2020-01-15 Guoqiang Zhang , Kenta Niwa , W. B. Kleijn

Neural networks that land in flat regions of the loss landscape tend to generalise better than those in sharp regions. Sharpness-Aware Minimisation exploits this to improve generalisation. But function-preserving reparameterisation can…

Machine Learning · Computer Science 2026-05-08 Michael Timothy Bennett

Model averaging methods have become an increasingly popular tool for improving predictions and dealing with model uncertainty, especially in Bayesian settings. Recently, frequentist model averaging methods such as information theoretic and…

Econometrics · Economics 2024-04-18 Kevin Huynh

We study distributed training of deep learning models in time-constrained environments. We propose a new algorithm that periodically pulls workers towards the center variable computed as a weighted average of workers, where the weights are…

Machine Learning · Computer Science 2024-03-08 Tolga Dimlioglu , Anna Choromanska

We investigate the proximal map for the weighted mean absolute error function. An algorithm for its efficient and vectorized evaluation is presented. As a demonstration, this algorithm is applied as part of a checkerboard algorithm to solve…

Optimization and Control · Mathematics 2023-02-09 Lukas Baumgärtner , Roland Herzog , Stephan Schmidt , Manuel Weiß

How can we accurately classify graphs? Graph classification is a pivotal task in data mining with applications in social network analysis, web analysis, drug discovery, molecular property prediction, etc. Graph neural networks have achieved…

Machine Learning · Computer Science 2025-03-28 Minjun Kim , Jaehyeon Choi , SeungJoo Lee , Jinhong Jung , U Kang

Universal Adversarial Perturbations (UAPs) are imperceptible, image-agnostic vectors that cause deep neural networks (DNNs) to misclassify inputs with high probability. In practical attack scenarios, adversarial perturbations may undergo…

Machine Learning · Computer Science 2023-06-07 Changming Xu , Gagandeep Singh

Recent advances show that deep neural networks are not robust to deliberately crafted adversarial examples which many are generated by adding human imperceptible perturbation to clear input. Consider $l_2$ norms attacks, Project Gradient…

Machine Learning · Computer Science 2019-06-11 Fanyou Wu , Rado Gazo , Eva Haviarova , Bedrich Benes

Recent advances in machine learning (ML) have shown promise in aiding and accelerating classical combinatorial optimization algorithms. ML-based speed ups that aim to learn in an end to end manner (i.e., directly output the solution) tend…

Machine Learning · Computer Science 2023-10-24 Zohair Shafi , Benjamin A. Miller , Ayan Chatterjee , Tina Eliassi-Rad , Rajmonda S. Caceres

Adversarial attacks have been proven to be potential threats to Deep Neural Networks (DNNs), and many methods are proposed to defend against adversarial attacks. However, while enhancing the robustness, the clean accuracy will decline to a…

Computer Vision and Pattern Recognition · Computer Science 2024-06-06 Xingxing Wei , Shiji Zhao , Bo li

While deep neural networks have achieved remarkable success in various computer vision tasks, they often fail to generalize to new domains and subtle variations of input images. Several defenses have been proposed to improve the robustness…

Computer Vision and Pattern Recognition · Computer Science 2021-09-08 Omid Poursaeed , Tianxing Jiang , Harry Yang , Serge Belongie , SerNam Lim

We study the implicit bias towards low-rank weight matrices when training neural networks (NN) with Weight Decay (WD). We prove that when a ReLU NN is sufficiently trained with Stochastic Gradient Descent (SGD) and WD, its weight matrix is…

Machine Learning · Computer Science 2024-10-04 Ke Chen , Chugang Yi , Haizhao Yang