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In recent years there has been significant interest in the effect of different types of adversarial perturbations in data classification problems. Many of these models incorporate the adversarial power, which is an important parameter with…

Analysis of PDEs · Mathematics 2025-11-11 Rachel Morris , Ryan Murray

Regularization, whether explicit in terms of a penalty in the loss or implicit in the choice of algorithm, is a cornerstone of modern machine learning. Indeed, controlling the complexity of the model class is particularly important when…

Machine Learning · Statistics 2024-10-22 Matteo Vilucchio , Nikolaos Tsilivis , Bruno Loureiro , Julia Kempe

This paper provides a unified view to explain different adversarial attacks and defense methods, i.e. the view of multi-order interactions between input variables of DNNs. Based on the multi-order interaction, we discover that adversarial…

Machine Learning · Computer Science 2021-11-10 Jie Ren , Die Zhang , Yisen Wang , Lu Chen , Zhanpeng Zhou , Yiting Chen , Xu Cheng , Xin Wang , Meng Zhou , Jie Shi , Quanshi Zhang

Adversarial training is one of the most effective approaches defending against adversarial examples for deep learning models. Unlike other defense strategies, adversarial training aims to promote the robustness of models intrinsically.…

Machine Learning · Computer Science 2021-04-22 Tao Bai , Jinqi Luo , Jun Zhao , Bihan Wen , Qian Wang

Adversarial examples, or nearly indistinguishable inputs created by an attacker, significantly reduce machine learning accuracy. Theoretical evidence has shown that the high intrinsic dimensionality of datasets facilitates an adversary's…

Machine Learning · Computer Science 2021-12-13 Sheila Alemany , Niki Pissinou

This paper provides a unified view to explain different adversarial attacks and defense methods, \emph{i.e.} the view of multi-order interactions between input variables of DNNs. Based on the multi-order interaction, we discover that…

Machine Learning · Computer Science 2021-11-09 Jie Ren , Die Zhang , Yisen Wang , Lu Chen , Zhanpeng Zhou , Yiting Chen , Xu Cheng , Xin Wang , Meng Zhou , Jie Shi , Quanshi Zhang

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

Deep neural networks are vulnerable to adversarial noise. Adversarial Training (AT) has been demonstrated to be the most effective defense strategy to protect neural networks from being fooled. However, we find AT omits to learning robust…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Nuoyan Zhou , Nannan Wang , Decheng Liu , Dawei Zhou , Xinbo Gao

Recent work has demonstrated that deep neural networks are vulnerable to adversarial examples---inputs that are almost indistinguishable from natural data and yet classified incorrectly by the network. In fact, some of the latest findings…

Machine Learning · Statistics 2019-09-06 Aleksander Madry , Aleksandar Makelov , Ludwig Schmidt , Dimitris Tsipras , Adrian Vladu

Adversarially robust learning aims to design algorithms that are robust to small adversarial perturbations on input variables. Beyond the existing studies on the predictive performance to adversarial samples, our goal is to understand…

Machine Learning · Statistics 2020-12-21 Yue Xing , Ruizhi Zhang , Guang Cheng

Deep neural networks are vulnerable to adversarial examples, which becomes one of the most important research problems in the development of deep learning. While a lot of efforts have been made in recent years, it is of great significance…

Computer Vision and Pattern Recognition · Computer Science 2019-12-30 Yinpeng Dong , Qi-An Fu , Xiao Yang , Tianyu Pang , Hang Su , Zihao Xiao , Jun Zhu

Intentionally crafted adversarial samples have effectively exploited weaknesses in deep neural networks. A standard method in adversarial robustness assumes a framework to defend against samples crafted by minimally perturbing a sample such…

Machine Learning · Computer Science 2022-11-07 Anaelia Ovalle , Evan Czyzycki , Cho-Jui Hsieh

We study adversarial robustness of neural networks from a margin maximization perspective, where margins are defined as the distances from inputs to a classifier's decision boundary. Our study shows that maximizing margins can be achieved…

Machine Learning · Computer Science 2020-03-06 Gavin Weiguang Ding , Yash Sharma , Kry Yik Chau Lui , Ruitong Huang

DNNs' demand for massive data forces practitioners to collect data from the Internet without careful check due to the unacceptable cost, which brings potential risks of backdoor attacks. A backdoored model always predicts a target class in…

Machine Learning · Computer Science 2022-02-23 Yinghua Gao , Dongxian Wu , Jingfeng Zhang , Guanhao Gan , Shu-Tao Xia , Gang Niu , Masashi Sugiyama

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

We provide a general framework for characterizing the trade-off between accuracy and robustness in supervised learning. We propose a method and define quantities to characterize the trade-off between accuracy and robustness for a given…

Machine Learning · Computer Science 2025-05-26 Zhun Deng , Cynthia Dwork , Jialiang Wang , Yao Zhao

Robust machine learning formulations have emerged to address the prevalent vulnerability of deep neural networks to adversarial examples. Our work draws the connection between optimal robust learning and the privacy-utility tradeoff…

Machine Learning · Computer Science 2021-05-20 Ye Wang , Shuchin Aeron , Adnan Siraj Rakin , Toshiaki Koike-Akino , Pierre Moulin

The vulnerability of deep neural networks (DNNs) to adversarial examples has attracted great attention in the machine learning community. The problem is related to non-flatness and non-smoothness of normally obtained loss landscapes.…

Machine Learning · Computer Science 2023-02-13 Qizhang Li , Yiwen Guo , Wangmeng Zuo , Hao Chen

Adversarial robustness is considered as a required property of deep neural networks. In this study, we discover that adversarially trained models might have significantly different characteristics in terms of margin and smoothness, even…

Machine Learning · Computer Science 2021-08-26 Hoki Kim , Woojin Lee , Sungyoon Lee , Jaewook Lee

Adversarial training can considerably robustify deep neural networks to resist adversarial attacks. However, some works suggested that adversarial training might comprise the privacy-preserving and generalization abilities. This paper…

Machine Learning · Computer Science 2020-12-29 Fengxiang He , Shaopeng Fu , Bohan Wang , Dacheng Tao