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Deep Neural Networks (DNNs) are vulnerable to invisible perturbations on the images generated by adversarial attacks, which raises researches on the adversarial robustness of DNNs. A series of methods represented by the adversarial training…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Kun Fang , Qinghua Tao , Yingwen Wu , Tao Li , Jia Cai , Feipeng Cai , Xiaolin Huang , Jie Yang

Deriving tight Lipschitz bounds for transformer-based architectures presents a significant challenge. The large input sizes and high-dimensional attention modules typically prove to be crucial bottlenecks during the training process and…

Machine Learning · Computer Science 2025-03-20 Rohan Menon , Nicola Franco , Stephan Günnemann

Attention based neural networks are state of the art in a large range of applications. However, their performance tends to degrade when the number of layers increases. In this work, we show that enforcing Lipschitz continuity by normalizing…

Machine Learning · Computer Science 2021-09-14 George Dasoulas , Kevin Scaman , Aladin Virmaux

Deep Neural Networks (DNNs) are known to be vulnerable to adversarial attacks, i.e., an imperceptible perturbation to the input can mislead DNNs trained on clean images into making erroneous predictions. To tackle this, adversarial training…

Machine Learning · Computer Science 2025-01-07 Yonggan Fu , Qixuan Yu , Yang Zhang , Shang Wu , Xu Ouyang , David Cox , Yingyan Celine Lin

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

Robust training methods typically defend against specific attack types, such as Lp attacks with fixed budgets, and rarely account for the fact that defenders may encounter new attacks over time. A natural solution is to adapt the defended…

Machine Learning · Computer Science 2025-02-07 Sihui Dai , Christian Cianfarani , Arjun Bhagoji , Vikash Sehwag , Prateek Mittal

Deep neural network architectures are considered to be robust to random perturbations. Nevertheless, it was shown that they could be severely vulnerable to slight but carefully crafted perturbations of the input, termed as adversarial…

Machine Learning · Computer Science 2021-02-16 Omer Faruk Tuna , Ferhat Ozgur Catak , M. Taner Eskil

Deep neural networks are known to be fragile to small adversarial perturbations. This issue becomes more critical when a neural network is interconnected with a physical system in a closed loop. In this paper, we show how to combine recent…

Machine Learning · Computer Science 2019-08-20 Yuh-Shyang Wang , Tsui-Wei Weng , Luca Daniel

Although 3D point cloud classification has recently been widely deployed in different application scenarios, it is still very vulnerable to adversarial attacks. This increases the importance of robust training of 3D models in the face of…

Computer Vision and Pattern Recognition · Computer Science 2022-08-25 Hanieh Naderi , Kimia Noorbakhsh , Arian Etemadi , Shohreh Kasaei

Deep Neural Networks (DNN) have been shown to be vulnerable to adversarial examples. Adversarial training (AT) is a popular and effective strategy to defend against adversarial attacks. Recent works (Benz et al., 2020; Xu et al., 2021; Tian…

Machine Learning · Computer Science 2023-02-09 Boqi Li , Weiwei Liu

Recent researches show that deep learning model is susceptible to backdoor attacks. Many defenses against backdoor attacks have been proposed. However, existing defense works require high computational overhead or backdoor attack…

Computer Vision and Pattern Recognition · Computer Science 2023-05-26 Mingfu Xue , Yinghao Wu , Zhiyu Wu , Yushu Zhang , Jian Wang , Weiqiang Liu

The visual scanpath is a sequence of points through which the human gaze moves while exploring a scene. It represents the fundamental concepts upon which visual attention research is based. As a result, the ability to predict them has…

Computer Vision and Pattern Recognition · Computer Science 2023-07-12 Mohamed Amine Kerkouri , Marouane Tliba , Aladine Chetouani , Alessandro Bruno

In this paper, we present a novel nonlinear programming-based approach to fine-tune pre-trained neural networks to improve robustness against adversarial attacks while maintaining high accuracy on clean data. Our method introduces…

Machine Learning · Computer Science 2024-10-28 Shudian Zhao , Jan Kronqvist

Iterative algorithms solve problems by taking steps until a solution is reached. Models in the form of Deep Thinking (DT) networks have been demonstrated to learn iterative algorithms in a way that can scale to different sized problems at…

Machine Learning · Computer Science 2024-11-01 Jay Bear , Adam Prügel-Bennett , Jonathon Hare

Graph Neural Networks (GNNs) are highly vulnerable to adversarial perturbations in both topology and features, making the learning of robust representations a critical challenge. In this work, we bridge GNNs with control theory to introduce…

Machine Learning · Computer Science 2026-03-16 Haoyu Chu , Xiaotong Chen , Wei Zhou , Wenjun Cui , Kai Zhao , Shikui Wei , Qiyu Kang

This paper proposes a class of well-conditioned neural networks in which a unit amount of change in the inputs causes at most a unit amount of change in the outputs or any of the internal layers. We develop the known methodology of…

Artificial Intelligence · Computer Science 2019-02-07 Haifeng Qian , Mark N. Wegman

Lipschitz continuity characterizes the worst-case sensitivity of neural networks to small input perturbations; yet its dynamics (i.e. temporal evolution) during training remains under-explored. We present a rigorous mathematical framework…

Machine Learning · Computer Science 2025-11-17 Róisín Luo , James McDermott , Christian Gagné , Qiang Sun , Colm O'Riordan

Recently, due to the popularity of deep neural networks and other methods whose training typically relies on the optimization of an objective function, and due to concerns for data privacy, there is a lot of interest in differentially…

Machine Learning · Computer Science 2025-02-12 Antoine Barczewski , Jan Ramon

Previous adversarial training raises model robustness under the compromise of accuracy on natural data. In this paper, we reduce natural accuracy degradation. We use the model logits from one clean model to guide learning of another one…

Computer Vision and Pattern Recognition · Computer Science 2021-08-17 Jiequan Cui , Shu Liu , Liwei Wang , Jiaya Jia

Deep neural networks (DNNs) are highly susceptible to adversarial examples--subtle, imperceptible perturbations that can lead to incorrect predictions. While detection-based defenses offer a practical alternative to adversarial training,…

Machine Learning · Computer Science 2025-10-03 Sanggeon Yun , Ryozo Masukawa , Hyunwoo Oh , Nathaniel D. Bastian , Mohsen Imani