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Adversarial examples have attracted significant attention in machine learning, but the reasons for their existence and pervasiveness remain unclear. We demonstrate that adversarial examples can be directly attributed to the presence of…

Machine Learning · Statistics 2019-08-13 Andrew Ilyas , Shibani Santurkar , Dimitris Tsipras , Logan Engstrom , Brandon Tran , Aleksander Madry

Adversarial examples are malicious inputs crafted to induce misclassification. Commonly studied sensitivity-based adversarial examples introduce semantically-small changes to an input that result in a different model prediction. This paper…

Machine Learning · Computer Science 2020-08-05 Florian Tramèr , Jens Behrmann , Nicholas Carlini , Nicolas Papernot , Jörn-Henrik Jacobsen

It is becoming increasingly clear that many machine learning classifiers are vulnerable to adversarial examples. In attempting to explain the origin of adversarial examples, previous studies have typically focused on the fact that neural…

Machine Learning · Statistics 2017-11-09 Ekin D. Cubuk , Barret Zoph , Samuel S. Schoenholz , Quoc V. Le

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 2018-12-13 Marc Khoury , Dylan Hadfield-Menell

Adversarial examples are maliciously perturbed inputs designed to mislead machine learning (ML) models at test-time. They often transfer: the same adversarial example fools more than one model. In this work, we propose novel methods for…

Machine Learning · Statistics 2017-05-25 Florian Tramèr , Nicolas Papernot , Ian Goodfellow , Dan Boneh , Patrick McDaniel

It has been suggested that adversarial examples cause deep learning models to make incorrect predictions with high confidence. In this work, we take the opposite stance: an overly confident model is more likely to be vulnerable to…

Machine Learning · Computer Science 2018-02-14 Angus Galloway , Graham W. Taylor , Medhat Moussa

The robustness of neural networks is challenged by adversarial examples that contain almost imperceptible perturbations to inputs, which mislead a classifier to incorrect outputs in high confidence. Limited by the extreme difficulty in…

Machine Learning · Computer Science 2020-10-20 Honglin Li , Yifei Fan , Frieder Ganz , Anthony Yezzi , Payam Barnaghi

In this paper, we analyze deep learning from a mathematical point of view and derive several novel results. The results are based on intriguing mathematical properties of high dimensional spaces. We first look at perturbation based…

Computer Vision and Pattern Recognition · Computer Science 2018-04-17 Simant Dube

Deep neural networks are at the forefront of machine learning research. However, despite achieving impressive performance on complex tasks, they can be very sensitive: Small perturbations of inputs can be sufficient to induce incorrect…

Computer Vision and Pattern Recognition · Computer Science 2020-09-04 Alex Serban , Erik Poll , Joost Visser

In this paper, we study the adversarial examples existence and adversarial training from the standpoint of convergence and provide evidence that pointwise convergence in ANNs can explain these observations. The main contribution of our…

Machine Learning · Computer Science 2022-05-27 Ramin Barati , Reza Safabakhsh , Mohammad Rahmati

We provide a complete characterisation of the phenomenon of adversarial examples - inputs intentionally crafted to fool machine learning models. We aim to cover all the important concerns in this field of study: (1) the conjectures on the…

Computer Vision and Pattern Recognition · Computer Science 2019-02-19 Alexandru Constantin Serban , Erik Poll , Joost Visser

The increasing use of deep neural networks (DNNs) has motivated a parallel endeavor: the design of adversaries that profit from successful misclassifications. However, not all adversarial examples are crafted for malicious purposes. For…

Computer Vision and Pattern Recognition · Computer Science 2024-09-18 Pk Douglas , Farzad Vasheghani Farahani

Research has shown that widely used deep neural networks are vulnerable to carefully crafted adversarial perturbations. Moreover, these adversarial perturbations often transfer across models. We hypothesize that adversarial weakness is…

Machine Learning · Statistics 2019-06-24 Horace He , Aaron Lou , Qingxuan Jiang , Isay Katsman , Serge Belongie , Ser-Nam Lim

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

The reliability of deep learning algorithms is fundamentally challenged by the existence of adversarial examples, which are incorrectly classified inputs that are extremely close to a correctly classified input. We explore the properties of…

Machine Learning · Statistics 2021-07-23 Giacomo De Palma , Bobak T. Kiani , Seth Lloyd

Machine learning models are vulnerable to adversarial examples formed by applying small carefully chosen perturbations to inputs that cause unexpected classification errors. In this paper, we perform experiments on various adversarial…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Andras Rozsa , Manuel Günther , Terrance E. Boult

Recent research has found that many families of machine learning models are vulnerable to adversarial examples: inputs that are specifically designed to cause the target model to produce erroneous outputs. In this survey, we focus on…

Machine Learning · Computer Science 2019-11-19 Rey Reza Wiyatno , Anqi Xu , Ousmane Dia , Archy de Berker

Despite the great success achieved in machine learning (ML), adversarial examples have caused concerns with regards to its trustworthiness: A small perturbation of an input results in an arbitrary failure of an otherwise seemingly…

Machine Learning · Computer Science 2018-10-24 Jingkang Wang , Ruoxi Jia , Gerald Friedland , Bo Li , Costas Spanos

Adversarial examples -- inputs with imperceptible perturbations that fool neural networks -- remain one of deep learning's most perplexing phenomena despite nearly a decade of research. While numerous defenses and explanations have been…

Machine Learning · Computer Science 2025-09-16 Liv Gorton , Owen Lewis

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
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