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This work investigates adversarial training in the context of margin-based linear classifiers in the high-dimensional regime where the dimension $d$ and the number of data points $n$ diverge with a fixed ratio $\alpha = n / d$. We introduce…

Machine Learning · Statistics 2026-01-13 Kasimir Tanner , Matteo Vilucchio , Bruno Loureiro , Florent Krzakala

Neural networks are vulnerable to adversarial attacks: adding well-crafted, imperceptible perturbations to their input can modify their output. Adversarial training is one of the most effective approaches to training robust models against…

Machine Learning · Computer Science 2023-08-09 Hadi M. Dolatabadi , Sarah Erfani , Christopher Leckie

Recent studies show that widely used deep neural networks (DNNs) are vulnerable to carefully crafted adversarial examples. Many advanced algorithms have been proposed to generate adversarial examples by leveraging the $\mathcal{L}_p$…

Cryptography and Security · Computer Science 2018-01-11 Chaowei Xiao , Jun-Yan Zhu , Bo Li , Warren He , Mingyan Liu , Dawn Song

Deep Neural Networks (DNNs) are notoriously vulnerable to adversarial input designs with limited noise budgets. While numerous successful attacks with subtle modifications to original input have been proposed, defense techniques against…

Machine Learning · Computer Science 2025-06-27 Furkan Mumcu , Yasin Yilmaz

As deep learning (DL) models are increasingly being integrated into our everyday lives, ensuring their safety by making them robust against adversarial attacks has become increasingly critical. DL models have been found to be susceptible to…

Machine Learning · Computer Science 2026-05-29 Hallgrimur Thorsteinsson , Valdemar J Henriksen , Daniel I R Cruz , Raghavendra Selvan , Tong Chen

Recent works have shown theoretically and empirically that redundant data dimensions are a source of adversarial vulnerability. However, the inverse doesn't seem to hold in practice; employing dimension-reduction techniques doesn't exhibit…

Machine Learning · Statistics 2024-10-10 Rajdeep Haldar , Yue Xing , Qifan Song , Guang Lin

Although the adoption rate of deep neural networks (DNNs) has tremendously increased in recent years, a solution for their vulnerability against adversarial examples has not yet been found. As a result, substantial research efforts are…

Computer Vision and Pattern Recognition · Computer Science 2021-11-23 Utku Ozbulak , Esla Timothy Anzaku , Wesley De Neve , Arnout Van Messem

Data shift is a phenomenon present in many real-world applications, and while there are multiple methods attempting to detect shifts, the task of localizing and correcting the features originating such shifts has not been studied in depth.…

Machine Learning · Computer Science 2023-12-08 Miriam Barrabes , Daniel Mas Montserrat , Margarita Geleta , Xavier Giro-i-Nieto , Alexander G. Ioannidis

In the past decades, the rise of artificial intelligence has given us the capabilities to solve the most challenging problems in our day-to-day lives, such as cancer prediction and autonomous navigation. However, these applications might…

Cryptography and Security · Computer Science 2022-09-13 Ehsan Nowroozi , Mohammadreza Mohammadi , Pargol Golmohammadi , Yassine Mekdad , Mauro Conti , Selcuk Uluagac

Machine learning systems based on deep neural networks, being able to produce state-of-the-art results on various perception tasks, have gained mainstream adoption in many applications. However, they are shown to be vulnerable to…

Machine Learning · Computer Science 2018-01-16 Bo Luo , Yannan Liu , Lingxiao Wei , Qiang Xu

Despite the impressive performances reported by deep neural networks in different application domains, they remain largely vulnerable to adversarial examples, i.e., input samples that are carefully perturbed to cause misclassification at…

Computer Vision and Pattern Recognition · Computer Science 2020-04-20 Angelo Sotgiu , Ambra Demontis , Marco Melis , Battista Biggio , Giorgio Fumera , Xiaoyi Feng , Fabio Roli

Several machine learning models, including neural networks, consistently misclassify adversarial examples---inputs formed by applying small but intentionally worst-case perturbations to examples from the dataset, such that the perturbed…

Machine Learning · Statistics 2015-03-24 Ian J. Goodfellow , Jonathon Shlens , Christian Szegedy

Deep Neural Networks (DNNs) are everywhere, frequently performing a fairly complex task that used to be unimaginable for machines to carry out. In doing so, they do a lot of decision making which, depending on the application, may be…

Machine Learning · Computer Science 2022-11-17 Avriti Chauhan , Mohammad Afzal , Hrishikesh Karmarkar , Yizhak Elboher , Kumar Madhukar , Guy Katz

Deep neural networks (DNN) have been shown to be useful in a wide range of applications. However, they are also known to be vulnerable to adversarial samples. By transforming a normal sample with some carefully crafted human imperceptible…

Machine Learning · Computer Science 2019-11-22 Jingyi Wang , Guoliang Dong , Jun Sun , Xinyu Wang , Peixin Zhang

With the widespread use of machine learning, concerns over its security and reliability have become prevalent. As such, many have developed defenses to harden neural networks against adversarial examples, imperceptibly perturbed inputs that…

Machine Learning · Computer Science 2022-05-09 Pratik Vaishnavi , Kevin Eykholt , Amir Rahmati

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 examples, crafted by adding perturbations imperceptible to humans, can deceive neural networks. Recent studies identify the adversarial transferability across various models, \textit{i.e.}, the cross-model attack ability of…

Computer Vision and Pattern Recognition · Computer Science 2024-07-25 Rongyi Zhu , Zeliang Zhang , Susan Liang , Zhuo Liu , Chenliang Xu

Deep neural networks are increasingly being used to detect and diagnose medical conditions using medical imaging. Despite their utility, these models are highly vulnerable to adversarial attacks and distribution shifts, which can affect…

Image and Video Processing · Electrical Eng. & Systems 2025-06-23 Josué Martínez-Martínez , Olivia Brown , Mostafa Karami , Sheida Nabavi

Deep Neural Networks (DNNs) have been shown to be vulnerable to adversarial examples. While numerous successful adversarial attacks have been proposed, defenses against these attacks remain relatively understudied. Existing defense…

Machine Learning · Computer Science 2025-06-17 Furkan Mumcu , Yasin Yilmaz

Transferable adversarial attacks against Deep neural networks (DNNs) have received broad attention in recent years. An adversarial example can be crafted by a surrogate model and then attack the unknown target model successfully, which…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Yao Zhu , Yuefeng Chen , Xiaodan Li , Kejiang Chen , Yuan He , Xiang Tian , Bolun Zheng , Yaowu Chen , Qingming Huang
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