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We study the error of linear regression in the face of adversarial attacks. In this framework, an adversary changes the input to the regression model in order to maximize the prediction error. We provide bounds on the prediction error in…

Machine Learning · Statistics 2023-03-29 Antônio H. Ribeiro , Thomas B. Schön

Current neural-network-based classifiers are susceptible to adversarial examples. The most empirically successful approach to defending against such adversarial examples is adversarial training, which incorporates a strong self-attack…

Machine Learning · Computer Science 2020-06-08 Bai Li , Shiqi Wang , Suman Jana , Lawrence Carin

State-of-the-art machine learning models can be vulnerable to very small input perturbations that are adversarially constructed. Adversarial training is an effective approach to defend against such examples. It is formulated as a min-max…

Machine Learning · Statistics 2022-10-21 Antônio H. Ribeiro , Dave Zachariah , Thomas B. Schön

Recently, the training with adversarial examples, which are generated by adding a small but worst-case perturbation on input examples, has been proved to improve generalization performance of neural networks. In contrast to the individually…

Machine Learning · Computer Science 2017-09-19 Sungrae Park , Jun-Keon Park , Su-Jin Shin , Il-Chul Moon

Adversarial training has gained great popularity as one of the most effective defenses for deep neural network and more generally for gradient-based machine learning models against adversarial perturbations on data points. This paper…

Machine Learning · Computer Science 2023-05-25 Haotian Gu , Xin Guo , Xinyu Li

Adversarial training is a training scheme designed to counter adversarial attacks by augmenting the training dataset with adversarial examples. Surprisingly, several studies have observed that loss gradients from adversarially trained DNNs…

Machine Learning · Computer Science 2019-04-22 Beomsu Kim , Junghoon Seo , Taegyun Jeon

Generalization and robustness are both key desiderata for designing machine learning methods. Adversarial training can enhance robustness, but past work often finds it hurts generalization. In natural language processing (NLP), pre-training…

Computation and Language · Computer Science 2020-05-01 Xiaodong Liu , Hao Cheng , Pengcheng He , Weizhu Chen , Yu Wang , Hoifung Poon , Jianfeng Gao

Owing to security implications of adversarial vulnerability, adversarial robustness of deep metric learning models has to be improved. In order to avoid model collapse due to excessively hard examples, the existing defenses dismiss the…

Machine Learning · Computer Science 2022-03-04 Mo Zhou , Vishal M. Patel

Deep neural networks (DNNs) have set benchmarks on a wide array of supervised learning tasks. Trained DNNs, however, often lack robustness to minor adversarial perturbations to the input, which undermines their true practicality. Recent…

Machine Learning · Computer Science 2018-11-20 Farzan Farnia , Jesse M. Zhang , David Tse

Despite the efficacy on a variety of computer vision tasks, deep neural networks (DNNs) are vulnerable to adversarial attacks, limiting their applications in security-critical systems. Recent works have shown the possibility of generating…

Computer Vision and Pattern Recognition · Computer Science 2018-12-21 Ziang Yan , Yiwen Guo , Changshui Zhang

Although adversarial training is known to be effective against adversarial examples, training dynamics are not well understood. In this study, we present the first theoretical analysis of adversarial training in random deep neural networks…

Machine Learning · Computer Science 2025-05-21 Soichiro Kumano , Hiroshi Kera , Toshihiko Yamasaki

Deep neural networks' remarkable ability to correctly fit training data when optimized by gradient-based algorithms is yet to be fully understood. Recent theoretical results explain the convergence for ReLU networks that are wider than…

Machine Learning · Computer Science 2021-02-09 Asaf Noy , Yi Xu , Yonathan Aflalo , Lihi Zelnik-Manor , Rong Jin

An acknowledged weakness of neural networks is their vulnerability to adversarial perturbations to the inputs. To improve the robustness of these models, one of the most popular defense mechanisms is to alternatively maximize the loss over…

Machine Learning · Computer Science 2020-10-22 Zhun Deng , Hangfeng He , Jiaoyang Huang , Weijie J. Su

The fact that deep neural networks are susceptible to crafted perturbations severely impacts the use of deep learning in certain domains of application. Among many developed defense models against such attacks, adversarial training emerges…

Machine Learning · Computer Science 2020-07-13 Anh Bui , Trung Le , He Zhao , Paul Montague , Olivier deVel , Tamas Abraham , Dinh Phung

Recent work has demonstrated that neural networks are vulnerable to adversarial examples. To escape from the predicament, many works try to harden the model in various ways, in which adversarial training is an effective way which learns…

Machine Learning · Computer Science 2020-02-04 Kejiang Chen , Hang Zhou , Yuefeng Chen , Xiaofeng Mao , Yuhong Li , Yuan He , Hui Xue , Weiming Zhang , Nenghai Yu

State-of-the-art machine learning models can be vulnerable to very small input perturbations that are adversarially constructed. Adversarial training is an effective approach to defend against it. Formulated as a min-max problem, it…

Machine Learning · Statistics 2023-10-18 Antônio H. Ribeiro , Dave Zachariah , Francis Bach , Thomas B. Schön

It is well known that deep neural networks (DNNs) are vulnerable to adversarial attacks, which are implemented by adding crafted perturbations onto benign examples. Min-max robust optimization based adversarial training can provide a notion…

Computer Vision and Pattern Recognition · Computer Science 2021-06-23 Shaokai Ye , Kaidi Xu , Sijia Liu , Jan-Henrik Lambrechts , Huan Zhang , Aojun Zhou , Kaisheng Ma , Yanzhi Wang , Xue Lin

Adversarial training is an effective method to train deep learning models that are resilient to norm-bounded perturbations, with the cost of nominal performance drop. While adversarial training appears to enhance the robustness and safety…

Machine Learning · Computer Science 2021-03-16 Mathias Lechner , Ramin Hasani , Radu Grosu , Daniela Rus , Thomas A. Henzinger

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

Neural networks are known to be highly sensitive to adversarial examples. These may arise due to different factors, such as random initialization, or spurious correlations in the learning problem. To better understand these factors, we…

Machine Learning · Statistics 2022-07-05 Elvis Dohmatob , Alberto Bietti