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Assume that $X_{1}, \ldots, X_{N}$ is an $\varepsilon$-contaminated sample of $N$ independent Gaussian vectors in $\mathbb{R}^d$ with mean $\mu$ and covariance $\Sigma$. In the strong $\varepsilon$-contamination model we assume that the…

Statistics Theory · Mathematics 2023-01-24 Arshak Minasyan , Nikita Zhivotovskiy

Adversarial training (AT) is widely considered the state-of-the-art technique for improving the robustness of deep neural networks (DNNs) against adversarial examples (AE). Nevertheless, recent studies have revealed that adversarially…

Machine Learning · Computer Science 2023-08-04 Chenhao Lin , Xiang Ji , Yulong Yang , Qian Li , Chao Shen , Run Wang , Liming Fang

Neural networks lack adversarial robustness, i.e., they are vulnerable to adversarial examples that through small perturbations to inputs cause incorrect predictions. Further, trust is undermined when models give miscalibrated predictions,…

Machine Learning · Computer Science 2021-12-15 Yao Qin , Xuezhi Wang , Alex Beutel , Ed H. Chi

While existing work in robust deep learning has focused on small pixel-level norm-based perturbations, this may not account for perturbations encountered in several real-world settings. In many such cases although test data might not be…

Computer Vision and Pattern Recognition · Computer Science 2021-04-09 Tejas Gokhale , Rushil Anirudh , Bhavya Kailkhura , Jayaraman J. Thiagarajan , Chitta Baral , Yezhou Yang

Adversarial examples are perturbed inputs designed to fool machine learning models. Adversarial training injects such examples into training data to increase robustness. To scale this technique to large datasets, perturbations are crafted…

Machine Learning · Statistics 2020-04-28 Florian Tramèr , Alexey Kurakin , Nicolas Papernot , Ian Goodfellow , Dan Boneh , Patrick McDaniel

The presence of adversarial examples poses a significant threat to deep learning models and their applications. Existing defense methods provide certain resilience against adversarial examples, but often suffer from decreased accuracy and…

Cryptography and Security · Computer Science 2023-11-27 Jiahao Chen , Diqun Yan , Li Dong

In this paper, we propose a natural and robust physical adversarial example attack method targeting object detectors under real-world conditions. The generated adversarial examples are robust to various physical constraints and visually…

Computer Vision and Pattern Recognition · Computer Science 2021-03-18 Mingfu Xue , Chengxiang Yuan , Can He , Jian Wang , Weiqiang Liu

Recently, it has been shown that deep neural networks (DNN) are subject to attacks through adversarial samples. Adversarial samples are often crafted through adversarial perturbation, i.e., manipulating the original sample with minor…

Machine Learning · Computer Science 2018-05-18 Jingyi Wang , Jun Sun , Peixin Zhang , Xinyu Wang

Despite tremendous advancements of machine learning models and algorithms in various application domains, they are known to be vulnerable to subtle, natural or intentionally crafted perturbations in future input data, known as adversarial…

Machine Learning · Statistics 2025-06-03 Jingfu Peng , Yuhong Yang

Machine learning has become one of the main components for task automation in many application domains. Despite the advancements and impressive achievements of machine learning, it has been shown that learning algorithms can be compromised…

Cryptography and Security · Computer Science 2018-08-20 Ziyi Bao , Luis Muñoz-González , Emil C. Lupu

Deep neural networks have been successfully applied in various machine learning tasks. However, studies show that neural networks are susceptible to adversarial attacks. This exposes a potential threat to neural network-based intelligent…

Computer Vision and Pattern Recognition · Computer Science 2024-01-30 Haimin Zhang , Min Xu

We consider minimizing $f(x) = \mathbb{E}[f(x,\omega)]$ when $f(x,\omega)$ is possibly nonsmooth and either strongly convex or convex in $x$. (I) Strongly convex. When $f(x,\omega)$ is $\mu-$strongly convex in $x$, we propose a variable…

Optimization and Control · Mathematics 2022-10-10 Afrooz Jalilzadeh , Uday V. Shanbhag , Jose H. Blanchet , Peter W. Glynn

Deep neural networks perform well on real world data but are prone to adversarial perturbations: small changes in the input easily lead to misclassification. In this work, we propose an attack methodology not only for cases where the…

Machine Learning · Computer Science 2019-10-09 Aram-Alexandre Pooladian , Chris Finlay , Tim Hoheisel , Adam Oberman

Machine learning models, especially deep neural networks (DNNs), have been shown to be vulnerable against adversarial examples which are carefully crafted samples with a small magnitude of the perturbation. Such adversarial perturbations…

Computer Vision and Pattern Recognition · Computer Science 2020-03-23 Anand Bhattad , Min Jin Chong , Kaizhao Liang , Bo Li , D. A. Forsyth

It has been observed that deep learning architectures tend to make erroneous decisions with high reliability for particularly designed adversarial instances. In this work, we show that the perturbation analysis of these architectures…

Machine Learning · Computer Science 2018-12-05 Emilio Rafael Balda , Arash Behboodi , Rudolf Mathar

Standard adversarial training approaches suffer from robust overfitting where the robust accuracy decreases when models are adversarially trained for too long. The origin of this problem is still unclear and conflicting explanations have…

Machine Learning · Computer Science 2022-11-28 Muhammad Zaid Hameed , Beat Buesser

Deep neural networks obtain state-of-the-art performance on a series of tasks. However, they are easily fooled by adding a small adversarial perturbation to input. The perturbation is often human imperceptible on image data. We observe a…

Machine Learning · Computer Science 2019-06-11 Puyudi Yang , Jianbo Chen , Cho-Jui Hsieh , Jane-Ling Wang , Michael I. Jordan

Evaluating adversarial robustness amounts to finding the minimum perturbation needed to have an input sample misclassified. The inherent complexity of the underlying optimization requires current gradient-based attacks to be carefully…

Machine Learning · Computer Science 2021-11-22 Maura Pintor , Fabio Roli , Wieland Brendel , Battista Biggio

Adversarial training is the industry standard for producing models that are robust to small adversarial perturbations. However, machine learning practitioners need models that are robust to other kinds of changes that occur naturally, such…

Computer Vision and Pattern Recognition · Computer Science 2021-11-02 Manli Shu , Zuxuan Wu , Micah Goldblum , Tom Goldstein

Recently proposed adversarial training methods show the robustness to both adversarial and original examples and achieve state-of-the-art results in supervised and semi-supervised learning. All the existing adversarial training methods…

Machine Learning · Computer Science 2019-11-15 Shufei Zhang , Kaizhu Huang , Jianke Zhu , Yang Liu