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Adversarial examples are a pervasive phenomenon of machine learning models where seemingly imperceptible perturbations to the input lead to misclassifications for otherwise statistically accurate models. We propose a geometric framework,…

Machine Learning · Computer Science 2019-05-06 Marc Khoury , Dylan Hadfield-Menell

We study the robustness of machine learning approaches to adversarial perturbations, with a focus on supervised learning scenarios. We find that typical phase classifiers based on deep neural networks are extremely vulnerable to adversarial…

Disordered Systems and Neural Networks · Physics 2024-01-26 Si Jiang , Sirui Lu , Dong-Ling Deng

Despite extensive progress in point cloud robustness, existing methods primarily rely on augmentation strategies or defense mechanisms while overlooking the geometric nature of adversarial fragility. We hypothesize that adversarial…

Computer Vision and Pattern Recognition · Computer Science 2026-05-25 Pedro Alonso , Chongshou Li , Tianrui Li

Despite their empirical success, neural networks remain vulnerable to small, adversarial perturbations. A longstanding hypothesis suggests that flat minima, regions of low curvature in the loss landscape, offer increased robustness. While…

Machine Learning · Computer Science 2025-10-17 Nils Philipp Walter , Linara Adilova , Jilles Vreeken , Michael Kamp

Deep neural networks are known to be vulnerable to adversarial perturbations, which are small and carefully crafted inputs that lead to incorrect predictions. In this paper, we propose DeepDefense, a novel defense framework that applies…

Machine Learning · Computer Science 2025-11-19 Ci Lin , Tet Yeap , Iluju Kiringa , Biwei Zhang

Deep neural networks are easily misled by adversarial examples. Although lots of defense methods are proposed, many of them are demonstrated to lose effectiveness when against properly performed adaptive attacks. How to evaluate the…

Cryptography and Security · Computer Science 2021-01-08 Pengfei Xia , Ziqiang Li , Hongjing Niu , Bin Li

The generation of feasible adversarial examples is necessary for properly assessing models that work in constrained feature space. However, it remains a challenging task to enforce constraints into attacks that were designed for computer…

Artificial Intelligence · Computer Science 2022-05-04 Thibault Simonetto , Salijona Dyrmishi , Salah Ghamizi , Maxime Cordy , Yves Le Traon

The clear understanding of the non-convex landscape of neural network is a complex incomplete problem. This paper studies the landscape of linear (residual) network, the simplified version of the nonlinear network. By treating the gradient…

Algebraic Geometry · Mathematics 2021-02-09 Xiuyi Yang

Deep learning is at the heart of the current rise of machine learning and artificial intelligence. In the field of Computer Vision, it has become the workhorse for applications ranging from self-driving cars to surveillance and security.…

Computer Vision and Pattern Recognition · Computer Science 2018-02-27 Naveed Akhtar , Ajmal Mian

A triangular mesh is one of the most popular 3D data representations. As such, the deployment of deep neural networks for mesh processing is widely spread and is increasingly attracting more attention. However, neural networks are prone to…

Computer Vision and Pattern Recognition · Computer Science 2023-09-26 Tomer Stolik , Itai Lang , Shai Avidan

Manifold learning is a popular and quickly-growing subfield of machine learning based on the assumption that one's observed data lie on a low-dimensional manifold embedded in a higher-dimensional space. This thesis presents a mathematical…

Machine Learning · Computer Science 2020-11-04 Luke Melas-Kyriazi

Adversarial or test time robustness measures the susceptibility of a classifier to perturbations to the test input. While there has been a flurry of recent work on designing defenses against such perturbations, the theory of adversarial…

Machine Learning · Computer Science 2020-04-29 Pranjal Awasthi , Natalie Frank , Mehryar Mohri

Adversarial machine learning is a fast growing research area, which considers the scenarios when machine learning systems may face potential adversarial attackers, who intentionally synthesize input data to make a well-trained model to make…

Machine Learning · Computer Science 2018-10-24 Guofu Li , Pengjia Zhu , Jin Li , Zhemin Yang , Ning Cao , Zhiyi Chen

We propose gradient adversarial training, an auxiliary deep learning framework applicable to different machine learning problems. In gradient adversarial training, we leverage a prior belief that in many contexts, simultaneous gradient…

Machine Learning · Computer Science 2018-06-22 Ayan Sinha , Zhao Chen , Vijay Badrinarayanan , Andrew Rabinovich

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

Deep neural networks (DNNs) are known to be vulnerable to adversarial attacks. A range of defense methods have been proposed to train adversarially robust DNNs, among which adversarial training has demonstrated promising results. However,…

Machine Learning · Computer Science 2022-01-25 Hanxun Huang , Yisen Wang , Sarah Monazam Erfani , Quanquan Gu , James Bailey , Xingjun Ma

In this paper, we investigate the use of pretraining with adversarial networks, with the objective of discovering the relationship between network depth and robustness. For this purpose, we selectively retrain different portions of VGG and…

Machine Learning · Computer Science 2021-11-01 Shoaib Ahmed Siddiqui , Thomas Breuel

Machine Learning (ML) algorithms have become increasingly popular for supporting Network Intrusion Detection Systems (NIDS). Nevertheless, extensive research has shown their vulnerability to adversarial attacks, which involve subtle…

Cryptography and Security · Computer Science 2024-04-24 Andrea Venturi , Dario Stabili , Mirco Marchetti

The literature on adversarial attacks in computer vision typically focuses on pixel-level perturbations. These tend to be very difficult to interpret. Recent work that manipulates the latent representations of image generators to create…

Machine Learning · Computer Science 2023-09-12 Stephen Casper , Max Nadeau , Dylan Hadfield-Menell , Gabriel Kreiman

We identify fragile and robust neurons of deep learning architectures using nodal dropouts of the first convolutional layer. Using an adversarial targeting algorithm, we correlate these neurons with the distribution of adversarial attacks…

Machine Learning · Computer Science 2022-02-01 Chandresh Pravin , Ivan Martino , Giuseppe Nicosia , Varun Ojha