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Although adversarial training is known to be effective against adversarial examples, training dynamics are not well understood. In this study, we present the first theoretical analysis of adversarial training in random deep neural networks…

Machine Learning · Computer Science 2025-05-21 Soichiro Kumano , Hiroshi Kera , Toshihiko Yamasaki

Why are classifiers in high dimension vulnerable to "adversarial" perturbations? We show that it is likely not due to information theoretic limitations, but rather it could be due to computational constraints. First we prove that, for a…

Machine Learning · Statistics 2018-05-28 Sébastien Bubeck , Eric Price , Ilya Razenshteyn

Deep neural networks are vulnerable to adversarial attacks, where a small perturbation to an input alters the model prediction. In many cases, malicious inputs intentionally crafted for one model can fool another model. In this paper, we…

Machine Learning · Computer Science 2021-09-23 Liping Yuan , Xiaoqing Zheng , Yi Zhou , Cho-Jui Hsieh , Kai-wei Chang

While state-of-the-art Deep Neural Network (DNN) models are considered to be robust to random perturbations, it was shown that these architectures are highly vulnerable to deliberately crafted perturbations, albeit being…

Machine Learning · Computer Science 2021-06-03 Omer Faruk Tuna , Ferhat Ozgur Catak , M. Taner Eskil

We propose a method to learn deep ReLU-based classifiers that are provably robust against norm-bounded adversarial perturbations on the training data. For previously unseen examples, the approach is guaranteed to detect all adversarial…

Machine Learning · Computer Science 2018-06-12 Eric Wong , J. Zico Kolter

Adversarial attacks, e.g., adversarial perturbations of the input and adversarial samples, pose significant challenges to machine learning and deep learning techniques, including interactive recommendation systems. The latent embedding…

Machine Learning · Computer Science 2021-12-03 Siyu Wang , Yuanjiang Cao , Xiaocong Chen , Lina Yao , Xianzhi Wang , Quan Z. Sheng

Autonomous vehicles are highly complex systems, required to function reliably in a wide variety of situations. Manually crafting software controllers for these vehicles is difficult, but there has been some success in using deep neural…

Machine Learning · Computer Science 2017-09-12 Guy Katz , Clark Barrett , David L. Dill , Kyle Julian , Mykel J. Kochenderfer

Adversarial Training has proved to be an effective training paradigm to enforce robustness against adversarial examples in modern neural network architectures. Despite many efforts, explanations of the foundational principles underpinning…

Computer Vision and Pattern Recognition · Computer Science 2022-03-18 Mattia Carletti , Matteo Terzi , Gian Antonio Susto

Defenses against adversarial examples, such as adversarial training, are typically tailored to a single perturbation type (e.g., small $\ell_\infty$-noise). For other perturbations, these defenses offer no guarantees and, at times, even…

Machine Learning · Computer Science 2019-10-21 Florian Tramèr , Dan Boneh

Adversarial examples have been shown to exist for a variety of deep learning architectures. Deep reinforcement learning has shown promising results on training agent policies directly on raw inputs such as image pixels. In this paper we…

Machine Learning · Statistics 2017-05-19 Jernej Kos , Dawn Song

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

Recent studies have shown that modern deep neural network classifiers are easy to fool, assuming that an adversary is able to slightly modify their inputs. Many papers have proposed adversarial attacks, defenses and methods to measure…

Machine Learning · Computer Science 2020-03-17 Igor Buzhinsky , Arseny Nerinovsky , Stavros Tripakis

Deep neural networks (DNNs) could be deceived by generating human-imperceptible perturbations of clean samples. Therefore, enhancing the robustness of DNNs against adversarial attacks is a crucial task. In this paper, we aim to train robust…

Machine Learning · Computer Science 2024-01-23 Shayan Mohajer Hamidi , Linfeng Ye

The ability to fool deep learning classifiers with tiny perturbations of the input has lead to the development of adversarial training in which the loss with respect to adversarial examples is minimized in addition to the training examples.…

Machine Learning · Computer Science 2024-07-30 Amir Hagai , Yair Weiss

Decision making and learning in the presence of uncertainty has attracted significant attention in view of the increasing need to achieve robust and reliable operations. In the case where uncertainty stems from the presence of adversarial…

Machine Learning · Computer Science 2024-03-25 André Bertolace , Konstatinos Gatsis , Kostas Margellos

Despite their unmatched performance, deep neural networks remain susceptible to targeted attacks by nearly imperceptible levels of adversarial noise. While the underlying cause of this sensitivity is not well understood, theoretical…

Machine Learning · Computer Science 2020-12-01 George Cazenavette , Calvin Murdock , Simon Lucey

Recent works have empirically shown that there exist adversarial examples that can be hidden from neural network interpretability (namely, making network interpretation maps visually similar), or interpretability is itself susceptible to…

Machine Learning · Computer Science 2020-10-23 Akhilan Boopathy , Sijia Liu , Gaoyuan Zhang , Cynthia Liu , Pin-Yu Chen , Shiyu Chang , Luca Daniel

Deep neural networks have been shown to be vulnerable to adversarial examples: very small perturbations of the input having a dramatic impact on the predictions. A wealth of adversarial attacks and distance metrics to quantify the…

Computer Vision and Pattern Recognition · Computer Science 2018-05-18 Beranger Dumont , Simona Maggio , Pablo Montalvo

Neural networks have been shown to be vulnerable against minor adversarial perturbations of their inputs, especially for high dimensional data under $\ell_\infty$ attacks. To combat this problem, techniques like adversarial training have…

Machine Learning · Computer Science 2019-06-04 Emilio Rafael Balda , Arash Behboodi , Niklas Koep , Rudolf Mathar

Convolutional neural networks (CNNs) have made significant advancement, however, they are widely known to be vulnerable to adversarial attacks. Adversarial training is the most widely used technique for improving adversarial robustness to…

Machine Learning · Computer Science 2021-10-12 Philipp Benz , Chaoning Zhang , Adil Karjauv , In So Kweon