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We show that adversarial examples exist for various random convolutional networks, and furthermore, that this is a relatively simple consequence of the isoperimetric inequality on the special orthogonal group $\mathbb{so}(d)$. This extends…

Machine Learning · Computer Science 2025-06-17 Amit Daniely

Deep neural networks have been shown to suffer from a surprising weakness: their classification outputs can be changed by small, non-random perturbations of their inputs. This adversarial example phenomenon has been explained as originating…

Machine Learning · Computer Science 2016-08-30 Thomas Tanay , Lewis Griffin

Convolutional neural networks (CNNs) are fragile to small perturbations in the input images. These networks are thus prone to malicious attacks that perturb the inputs to force a misclassification. Such slightly manipulated images aimed at…

Computer Vision and Pattern Recognition · Computer Science 2024-03-13 João G. Zago , Fabio L. Baldissera , Eric A. Antonelo , Rodrigo T. Saad

Robustness of convolutional neural networks (CNNs) has gained in importance on account of adversarial examples, i.e., inputs added as well-designed perturbations that are imperceptible to humans but can cause the model to predict…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Tiange Luo , Tianle Cai , Mengxiao Zhang , Siyu Chen , Di He , Liwei Wang

Deep neural network image classifiers are reported to be susceptible to adversarial evasion attacks, which use carefully crafted images created to mislead a classifier. Recently, various kinds of adversarial attack methods have been…

Machine Learning · Computer Science 2019-10-04 He Zhao , Trung Le , Paul Montague , Olivier De Vel , Tamas Abraham , Dinh Phung

The existence of adversarial examples in which an imperceptible change in the input can fool well trained neural networks was experimentally discovered by Szegedy et al in 2013, who called them "Intriguing properties of neural networks".…

Machine Learning · Computer Science 2019-01-31 Adi Shamir , Itay Safran , Eyal Ronen , Orr Dunkelman

It is not fully understood why adversarial examples can deceive neural networks and transfer between different networks. To elucidate this, several studies have hypothesized that adversarial perturbations, while appearing as noises, contain…

Machine Learning · Computer Science 2024-02-19 Soichiro Kumano , Hiroshi Kera , Toshihiko Yamasaki

Deep neural networks are vulnerable to adversarial examples, i.e., carefully-perturbed inputs aimed to mislead classification. This work proposes a detection method based on combining non-linear dimensionality reduction and density…

Machine Learning · Computer Science 2019-05-02 Francesco Crecchi , Davide Bacciu , Battista Biggio

Deep Neural Networks (DNNs) have been widely applied in various recognition tasks. However, recently DNNs have been shown to be vulnerable against adversarial examples, which can mislead DNNs to make arbitrary incorrect predictions. While…

Cryptography and Security · Computer Science 2018-10-15 Chaowei Xiao , Ruizhi Deng , Bo Li , Fisher Yu , Mingyan Liu , Dawn Song

Recent studies have shown that Convolutional Neural Networks (CNN) are relatively easy to attack through the generation of so-called adversarial examples. Such vulnerability also affects CNN-based image forensic tools. Research in deep…

Cryptography and Security · Computer Science 2018-11-06 Mauro Barni , Kassem Kallas , Ehsan Nowroozi , Benedetta Tondi

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

Important insights towards the explainability of neural networks reside in the characteristics of their decision boundaries. In this work, we borrow tools from the field of adversarial robustness, and propose a new perspective that relates…

Machine Learning · Computer Science 2020-10-16 Guillermo Ortiz-Jimenez , Apostolos Modas , Seyed-Mohsen Moosavi-Dezfooli , Pascal Frossard

Recently, many studies have demonstrated deep neural network (DNN) classifiers can be fooled by the adversarial example, which is crafted via introducing some perturbations into an original sample. Accordingly, some powerful defense…

Cryptography and Security · Computer Science 2019-01-10 Bin Liang , Hongcheng Li , Miaoqiang Su , Xirong Li , Wenchang Shi , Xiaofeng Wang

Deep neural networks have been shown to be vulnerable to adversarial examples deliberately constructed to misclassify victim models. As most adversarial examples have restricted their perturbations to $L_{p}$-norm, existing defense methods…

Computer Vision and Pattern Recognition · Computer Science 2021-03-16 Hanieh Naderi , Leili Goli , Shohreh Kasaei

Adversarial attacks dramatically change the output of an otherwise accurate learning system using a seemingly inconsequential modification to a piece of input data. Paradoxically, empirical evidence indicates that even systems which are…

Machine Learning · Computer Science 2024-09-13 Oliver J. Sutton , Qinghua Zhou , Ivan Y. Tyukin , Alexander N. Gorban , Alexander Bastounis , Desmond J. Higham

State of the art computer vision models have been shown to be vulnerable to small adversarial perturbations of the input. In other words, most images in the data distribution are both correctly classified by the model and are very close to…

Computer Vision and Pattern Recognition · Computer Science 2018-09-11 Justin Gilmer , Luke Metz , Fartash Faghri , Samuel S. Schoenholz , Maithra Raghu , Martin Wattenberg , Ian Goodfellow

Deep Neural Networks (DNNs) are vulnerable to adversarial attacks: carefully constructed perturbations to an image can seriously impair classification accuracy, while being imperceptible to humans. While there has been a significant amount…

Machine Learning · Computer Science 2020-12-23 Can Bakiskan , Metehan Cekic , Ahmet Dundar Sezer , Upamanyu Madhow

Neural networks are known to be vulnerable to adversarial examples: inputs that are close to natural inputs but classified incorrectly. In order to better understand the space of adversarial examples, we survey ten recent proposals that are…

Machine Learning · Computer Science 2017-11-02 Nicholas Carlini , David Wagner

This study explores the impact of adversarial perturbations on Convolutional Neural Networks (CNNs) with the aim of enhancing the understanding of their underlying mechanisms. Despite numerous defense methods proposed in the literature,…

Computer Vision and Pattern Recognition · Computer Science 2024-06-03 Davide Coppola , Hwee Kuan Lee

Recently, deep Convolutional Neural Networks (CNNs) have proven to be successful when employed in areas such as reduced order modeling of parametrized PDEs. Despite their accuracy and efficiency, the approaches available in the literature…

Numerical Analysis · Mathematics 2023-01-26 Nicola Rares Franco , Stefania Fresca , Andrea Manzoni , Paolo Zunino