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Adversarial training has been shown to be one of the most effective approaches to improve the robustness of deep neural networks. It is formalized as a min-max optimization over model weights and adversarial perturbations, where the weights…

Machine Learning · Computer Science 2022-03-14 Gaojie Jin , Xinping Yi , Wei Huang , Sven Schewe , Xiaowei Huang

It is common practice in deep learning to use overparameterized networks and train for as long as possible; there are numerous studies that show, both theoretically and empirically, that such practices surprisingly do not unduly harm the…

Machine Learning · Computer Science 2020-03-05 Leslie Rice , Eric Wong , J. Zico Kolter

We study the generalization error of randomized learning algorithms -- focusing on stochastic gradient descent (SGD) -- using a novel combination of PAC-Bayes and algorithmic stability. Importantly, our generalization bounds hold for all…

Machine Learning · Computer Science 2020-06-23 Ben London

In recent years, multi-scale generative adversarial networks (GANs) have been proposed to build generalized image processing models based on single sample. Constraining on the sample size, multi-scale GANs have much difficulty converging to…

Computer Vision and Pattern Recognition · Computer Science 2022-12-01 Jing Tang , Bo Tao , Zeyu Gong , Zhouping Yin

Adversarial training (AT) constructs robust neural networks by incorporating adversarial perturbations into natural data. However, it is plagued by the issue of robust overfitting (RO), which severely damages the model's robustness. In this…

Machine Learning · Computer Science 2024-07-30 Chaojian Yu , Xiaolong Shi , Jun Yu , Bo Han , Tongliang Liu

Despite numerous attempts sought to provide empirical evidence of adversarial regularization outperforming sole supervision, the theoretical understanding of such phenomena remains elusive. In this study, we aim to resolve whether…

Machine Learning · Computer Science 2020-10-02 Litu Rout

Algorithmic stability is an established tool for analyzing generalization. While adversarial training enhances model robustness, it often suffers from robust overfitting and an enlarged generalization gap. Although recent work has…

Machine Learning · Computer Science 2025-09-24 Hesam Hosseini , Ying Cao , Ali H. Sayed

Stability analysis is an essential aspect of studying the generalization ability of deep learning, as it involves deriving generalization bounds for stochastic gradient descent-based training algorithms. Adversarial training is the most…

Machine Learning · Computer Science 2024-01-09 Yihan Wang , Shuang Liu , Xiao-Shan Gao

Adversarial training has been shown as an effective approach to improve the robustness of image classifiers against white-box attacks. However, its effectiveness against black-box attacks is more nuanced. In this work, we demonstrate that…

Machine Learning · Computer Science 2021-07-27 Ali Rahmati , Seyed-Mohsen Moosavi-Dezfooli , Huaiyu Dai

Deep neural networks (DNNs) are vulnerable to adversarial attacks. It is found empirically that adversarially robust generalization is crucial in establishing defense algorithms against adversarial attacks. Therefore, it is interesting to…

Machine Learning · Computer Science 2023-10-31 Jiancong Xiao , Ruoyu Sun , Zhi- Quan Luo

Modern machine learning and deep learning models are shown to be vulnerable when testing data are slightly perturbed. Existing theoretical studies of adversarial training algorithms mostly focus on either adversarial training losses or…

Machine Learning · Statistics 2021-04-07 Yue Xing , Qifan Song , Guang Cheng

Overfitting widely exists in adversarial robust training of deep networks. An effective remedy is adversarial weight perturbation, which injects the worst-case weight perturbation during network training by maximizing the classification…

Machine Learning · Computer Science 2022-05-31 Chaojian Yu , Bo Han , Mingming Gong , Li Shen , Shiming Ge , Bo Du , Tongliang Liu

Despite remarkable success in practice, modern machine learning models have been found to be susceptible to adversarial attacks that make human-imperceptible perturbations to the data, but result in serious and potentially dangerous…

Machine Learning · Computer Science 2020-08-18 Lin Chen , Yifei Min , Mingrui Zhang , Amin Karbasi

Self-ensemble adversarial training methods improve model robustness by ensembling models at different training epochs, such as model weight averaging (WA). However, previous research has shown that self-ensemble defense methods in…

Machine Learning · Computer Science 2024-06-21 Zhaozhe Hu , Jia-Li Yin , Bin Chen , Luojun Lin , Bo-Hao Chen , Ximeng Liu

In adversarial machine learning, there was a common belief that robustness and accuracy hurt each other. The belief was challenged by recent studies where we can maintain the robustness and improve the accuracy. However, the other…

Machine Learning · Computer Science 2021-06-01 Jingfeng Zhang , Jianing Zhu , Gang Niu , Bo Han , Masashi Sugiyama , Mohan Kankanhalli

The vulnerability of machine learning models to adversarial attacks remains a critical security challenge. Traditional defenses, such as adversarial training, typically robustify models by minimizing a worst-case loss. However, these…

Machine Learning · Statistics 2025-10-13 Pablo G. Arce , Roi Naveiro , David Ríos Insua

Adversarial training has been demonstrated to be one of the most effective remedies for defending adversarial examples, yet it often suffers from the huge robustness generalization gap on unseen testing adversaries, deemed as the…

Machine Learning · Computer Science 2023-03-13 Aishan Liu , Shiyu Tang , Siyuan Liang , Ruihao Gong , Boxi Wu , Xianglong Liu , Dacheng Tao

In this work, we propose a robust framework that employs adversarially robust training to safeguard the ML models against perturbed testing data. Our contributions can be seen from both computational and statistical perspectives. Firstly,…

Machine Learning · Computer Science 2024-11-26 Deepak Maurya , Adarsh Barik , Jean Honorio

Recently, learning a model that generalizes well on out-of-distribution (OOD) data has attracted great attention in the machine learning community. In this paper, after defining OOD generalization via Wasserstein distance, we theoretically…

Machine Learning · Computer Science 2021-05-25 Mingyang Yi , Lu Hou , Jiacheng Sun , Lifeng Shang , Xin Jiang , Qun Liu , Zhi-Ming Ma

In learning from demonstrations, many generative models of trajectories make simplifying assumptions of independence. Correctness is sacrificed in the name of tractability and speed of the learning phase. The ignored dependencies, which…

Robotics · Computer Science 2020-11-09 Emmanuel Pignat , Hakan Girgin , Sylvain Calinon