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Deep neural networks (DNNs) are shown to be vulnerable to adversarial examples. A well-trained model can be easily attacked by adding small perturbations to the original data. One of the hypotheses of the existence of the adversarial…

Machine Learning · Computer Science 2022-10-04 Jiancong Xiao , Liusha Yang , Yanbo Fan , Jue Wang , Zhi-Quan Luo

Machine learning models, especially neural network (NN) classifiers, have acceptable performance and accuracy that leads to their wide adoption in different aspects of our daily lives. The underlying assumption is that these models are…

Deep neural networks were significantly vulnerable to adversarial examples manipulated by malicious tiny perturbations. Although most conventional adversarial attacks ensured the visual imperceptibility between adversarial examples and…

Computer Vision and Pattern Recognition · Computer Science 2024-02-06 Shuai Li , Xiaoyu Jiang , Xiaoguang Ma

We propose a new type of attack for finding adversarial examples for image classifiers. Our method exploits spanners, i.e. deep neural networks whose input space is low-dimensional and whose output range approximates the set of images of…

Computer Vision and Pattern Recognition · Computer Science 2019-07-11 Ajil Jalal , Andrew Ilyas , Constantinos Daskalakis , Alexandros G. Dimakis

The manifold hypothesis (real world data concentrates near low-dimensional manifolds) is suggested as the principle behind the effectiveness of machine learning algorithms in very high dimensional problems that are common in domains such as…

Machine Learning · Computer Science 2022-07-15 Aditya Chetan , Nipun Kwatra

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

The extreme fragility of deep neural networks, when presented with tiny perturbations in their inputs, was independently discovered by several research groups in 2013. However, despite enormous effort, these adversarial examples remained a…

Machine Learning · Computer Science 2022-06-02 Adi Shamir , Odelia Melamed , Oriel BenShmuel

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

Deep neural networks achieve remarkable performance in multiple fields. However, after proper training they suffer from an inherent vulnerability against adversarial examples (AEs). In this work we shed light on inner representations of the…

Machine Learning · Computer Science 2022-04-13 Štefan Pócoš , Iveta Bečková , Igor Farkaš

Projected Gradient Descent (PGD) is a strong and widely used first-order adversarial attack, yet its computational cost scales poorly, as all training samples undergo identical iterative inner-loop optimization despite contributing…

Machine Learning · Computer Science 2025-12-29 Youran Ye , Dejin Wang , Ajinkya Bhandare

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

Despite the wide use of machine learning in adversarial settings including computer security, recent studies have demonstrated vulnerabilities to evasion attacks---carefully crafted adversarial samples that closely resemble legitimate…

Cryptography and Security · Computer Science 2017-05-26 Yi Han , Benjamin I. P. Rubinstein

In recent years, diffusion models (DMs) have drawn significant attention for their success in approximating data distributions, yielding state-of-the-art generative results. Nevertheless, the versatility of these models extends beyond their…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Peter Lorenz , Ricard Durall , Janis Keuper

Adversarial training, especially projected gradient descent (PGD), has proven to be a successful approach for improving robustness against adversarial attacks. After adversarial training, gradients of models with respect to their inputs…

Machine Learning · Statistics 2023-04-21 Ricardo Bigolin Lanfredi , Joyce D. Schroeder , Tolga Tasdizen

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

With the increasing adoption of AI, inherent security and privacy vulnerabilities formachine learning systems are being discovered. One such vulnerability makes itpossible for an adversary to obtain private information about the types of…

Machine Learning · Computer Science 2019-10-11 Samyadeep Basu , Rauf Izmailov , Chris Mesterharm

The existence of adversarial examples underscores the importance of understanding the robustness of machine learning models. Bayesian neural networks (BNNs), due to their calibrated uncertainty, have been shown to posses favorable…

Machine Learning · Computer Science 2020-12-24 Matthew Yuan , Matthew Wicker , Luca Laurenti

Adversarial attacks on deep neural network models have seen rapid development and are extensively used to study the stability of these networks. Among various adversarial strategies, Projected Gradient Descent (PGD) is a widely adopted…

Machine Learning · Computer Science 2024-10-17 Dayana Savostianova , Emanuele Zangrando , Francesco Tudisco

Vulnerability to adversarial attacks is one of the principal hurdles to the adoption of deep learning in safety-critical applications. Despite significant efforts, both practical and theoretical, training deep learning models robust to…

Machine Learning · Computer Science 2024-02-29 Luca Bortolussi , Ginevra Carbone , Luca Laurenti , Andrea Patane , Guido Sanguinetti , Matthew Wicker

Adversarial attacks on deep-learning models pose a serious threat to their reliability and security. Existing defense mechanisms are narrow addressing a specific type of attack or being vulnerable to sophisticated attacks. We propose a new…

Machine Learning · Computer Science 2023-06-22 Mouna Rabhi , Roberto Di Pietro
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