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Training machine learning models that are robust against adversarial inputs poses seemingly insurmountable challenges. To better understand adversarial robustness, we consider the underlying problem of learning robust representations. We…

Machine Learning · Computer Science 2020-07-07 Sicheng Zhu , Xiao Zhang , David Evans

The vulnerability of Deep Neural Networks to Adversarial Attacks has fuelled research towards building robust models. While most Adversarial Training algorithms aim at defending attacks constrained within low magnitude Lp norm bounds,…

Machine Learning · Computer Science 2022-10-19 Sravanti Addepalli , Samyak Jain , Gaurang Sriramanan , R. Venkatesh Babu

Adversarial approach has been widely used for data generation in the last few years. However, this approach has not been extensively utilized for classifier training. In this paper, we propose an adversarial framework for classifier…

Machine Learning · Computer Science 2018-11-22 Ehsan Montahaei , Mahsa Ghorbani , Mahdieh Soleymani Baghshah , Hamid R. Rabiee

Adversarial examples are carefully perturbed in-puts for fooling machine learning models. A well-acknowledged defense method against such examples is adversarial training, where adversarial examples are injected into training data to…

Machine Learning · Computer Science 2019-05-17 Bai Li , Changyou Chen , Wenlin Wang , Lawrence Carin

Despite breakthrough performance, modern learning models are known to be highly vulnerable to small adversarial perturbations in their inputs. While a wide variety of recent \emph{adversarial training} methods have been effective at…

Machine Learning · Computer Science 2020-02-26 Adel Javanmard , Mahdi Soltanolkotabi , Hamed Hassani

Despite incredible advances, deep learning has been shown to be susceptible to adversarial attacks. Numerous approaches have been proposed to train robust networks both empirically and certifiably. However, most of them defend against only…

Artificial Intelligence · Computer Science 2023-06-28 Yimu Wang , Dinghuai Zhang , Yihan Wu , Heng Huang , Hongyang Zhang

Although reinforcement learning (RL) is considered the gold standard for policy design, it may not always provide a robust solution in various scenarios. This can result in severe performance degradation when the environment is exposed to…

Machine Learning · Computer Science 2023-06-14 Juncheng Dong , Hao-Lun Hsu , Qitong Gao , Vahid Tarokh , Miroslav Pajic

Adversarial training can improve the robustness of neural networks. Previous methods focus on a single adversarial training strategy and do not consider the model property trained by different strategies. By revisiting the previous methods,…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Xingbin Liu , Huafeng Kuang , Xianming Lin , Yongjian Wu , Rongrong Ji

Adversarial training is a standard defense against malicious input perturbations in security-critical machine-learning systems. Its main burden is structural: before every parameter update, the current model must first be attacked to find a…

Quantum Physics · Physics 2026-03-31 Yue Wang , Guangyi He , Liepeng Zhang , Lukas Gonon , Qi Zhao

Is there a classifier that ensures optimal robustness against all adversarial attacks? This paper answers this question by adopting a game-theoretic point of view. We show that adversarial attacks and defenses form an infinite zero-sum game…

Machine Learning · Computer Science 2021-01-07 Rafael Pinot , Raphael Ettedgui , Geovani Rizk , Yann Chevaleyre , Jamal Atif

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 (AT) with Projected Gradient Descent (PGD) is an effective approach for improving the robustness of the deep neural networks. However, PGD AT has been shown to suffer from two main limitations: i) high computational…

Computer Vision and Pattern Recognition · Computer Science 2020-12-29 Ahmadreza Jeddi , Mohammad Javad Shafiee , Alexander Wong

In the future, powerful AI systems may be deployed in high-stakes settings, where a single failure could be catastrophic. One technique for improving AI safety in high-stakes settings is adversarial training, which uses an adversary to…

Multiple intriguing problems are hovering in adversarial training, including robust overfitting, robustness overestimation, and robustness-accuracy trade-off. These problems pose great challenges to both reliable evaluation and practical…

Machine Learning · Computer Science 2021-10-08 Chengyu Dong , Liyuan Liu , Jingbo Shang

We propose an adversarial deep reinforcement learning (ADRL) algorithm for high-dimensional stochastic control problems. Inspired by the information relaxation duality, ADRL reformulates the control problem as a min-max optimization between…

Optimization and Control · Mathematics 2025-07-03 Nan Chen , Mengzhou Liu , Xiaoyan Wang , Nanyi Zhang

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 (AT) is proposed to alleviate the adversarial vulnerability of machine learning models by extracting only robust features from the input, which, however, inevitably leads to severe accuracy reduction as it discards the…

Machine Learning · Statistics 2020-07-06 Yifei Wang , Dan Peng , Furui Liu , Zhenguo Li , Zhitang Chen , Jiansheng Yang

Many state-of-the-art adversarial training methods for deep learning leverage upper bounds of the adversarial loss to provide security guarantees against adversarial attacks. Yet, these methods rely on convex relaxations to propagate lower…

Machine Learning · Computer Science 2023-04-07 Dimitris Bertsimas , Xavier Boix , Kimberly Villalobos Carballo , Dick den Hertog

Machine learning classifiers are known to be vulnerable to inputs maliciously constructed by adversaries to force misclassification. Such adversarial examples have been extensively studied in the context of computer vision applications. In…

Machine Learning · Computer Science 2017-02-09 Sandy Huang , Nicolas Papernot , Ian Goodfellow , Yan Duan , Pieter Abbeel

Recent works have demonstrated that deep neural networks (DNNs) are highly vulnerable to adversarial attacks. To defend against adversarial attacks, many defense strategies have been proposed, among which adversarial training has been…

Computer Vision and Pattern Recognition · Computer Science 2023-06-28 Hong Joo Lee , Youngjoon Yu , Yong Man Ro