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Adversarial robustness measures the susceptibility of a classifier to imperceptible perturbations made to the inputs at test time. In this work we highlight the benefits of natural low rank representations that often exist for real data…

Machine Learning · Computer Science 2020-08-04 Pranjal Awasthi , Himanshu Jain , Ankit Singh Rawat , Aravindan Vijayaraghavan

To improve efficiency and reduce failures in autonomous vehicles, research has focused on developing robust and safe learning methods that take into account disturbances in the environment. Existing literature in robust reinforcement…

Machine Learning · Computer Science 2019-03-12 Xiaobai Ma , Katherine Driggs-Campbell , Mykel J. Kochenderfer

It is well-known that classifiers are vulnerable to adversarial perturbations. To defend against adversarial perturbations, various certified robustness results have been derived. However, existing certified robustnesses are limited to…

Machine Learning · Computer Science 2019-12-23 Jinyuan Jia , Xiaoyu Cao , Binghui Wang , Neil Zhenqiang Gong

Adversarial training attains strong empirical robustness to specific adversarial attacks by training on concrete adversarial perturbations, but it produces neural networks that are not amenable to strong robustness certificates through…

Machine Learning · Computer Science 2026-02-04 Alessandro De Palma

Recent studies have shown that deep neural networks (DNNs) are vulnerable to adversarial attacks, including evasion and backdoor (poisoning) attacks. On the defense side, there have been intensive efforts on improving both empirical and…

Machine Learning · Computer Science 2023-08-04 Maurice Weber , Xiaojun Xu , Bojan Karlaš , Ce Zhang , Bo Li

Methods to certify the robustness of neural networks in the presence of input uncertainty are vital in safety-critical settings. Most certification methods in the literature are designed for adversarial input uncertainty, but researchers…

Machine Learning · Computer Science 2023-01-26 Brendon G. Anderson , Somayeh Sojoudi

In guaranteeing the absence of adversarial examples in an instance's neighbourhood, certification mechanisms play an important role in demonstrating neural net robustness. In this paper, we ask if these certifications can compromise the…

Machine Learning · Computer Science 2024-06-13 Andrew C. Cullen , Shijie Liu , Paul Montague , Sarah M. Erfani , Benjamin I. P. Rubinstein

Offline reinforcement learning enables sample-efficient policy acquisition without risky online interaction, yet policies trained on static datasets remain brittle under action-space perturbations such as actuator faults. This study…

Robotics · Computer Science 2026-03-02 Shingo Ayabe , Hiroshi Kera , Kazuhiko Kawamoto

Deep learning (DL) has demonstrated significant potential across various safety-critical applications, yet ensuring its robustness remains a key challenge. While adversarial robustness has been extensively studied in worst-case scenarios,…

Machine Learning · Computer Science 2025-03-11 Xingyu Zhao

We study the problem of certifying the robustness of Bayesian neural networks (BNNs) to adversarial input perturbations. Given a compact set of input points $T \subseteq \mathbb{R}^m$ and a set of output points $S \subseteq \mathbb{R}^n$,…

Machine Learning · Computer Science 2023-06-26 Matthew Wicker , Andrea Patane , Luca Laurenti , Marta Kwiatkowska

Adversarial examples have been shown to be the severe threat to deep neural networks (DNNs). One of the most effective adversarial defense methods is adversarial training (AT) through minimizing the adversarial risk $R_{adv}$, which…

Machine Learning · Computer Science 2020-06-17 Yiming Li , Baoyuan Wu , Yan Feng , Yanbo Fan , Yong Jiang , Zhifeng Li , Shutao Xia

Despite the success of convolutional neural networks (CNNs) in many academic benchmarks for computer vision tasks, their application in the real-world is still facing fundamental challenges. One of these open problems is the inherent lack…

Computer Vision and Pattern Recognition · Computer Science 2022-12-07 Julia Grabinski , Paul Gavrikov , Janis Keuper , Margret Keuper

Deep learning models are vulnerable to adversarial perturbations, raising important concerns for safety-critical deployment. Empirical defenses can achieve strong robustness in practice, but lack formal guarantees, motivating the need for…

Machine Learning · Computer Science 2026-05-26 Konstantinos Emmanouilidis , Tianjiao Ding , Nghia Nguyen , Nicolas Loizou , René Vidal

Reinforcement learning often uses neural networks to solve complex control tasks. However, neural networks are sensitive to input perturbations, which makes their deployment in safety-critical environments challenging. This work lifts…

Machine Learning · Computer Science 2024-08-20 Manuel Wendl , Lukas Koller , Tobias Ladner , Matthias Althoff

Function approximation has enabled remarkable advances in applying reinforcement learning (RL) techniques in environments with high-dimensional inputs, such as images, in an end-to-end fashion, mapping such inputs directly to low-level…

Machine Learning · Computer Science 2023-01-02 Junlin Wu , Hussein Sibai , Yevgeniy Vorobeychik

Recent work in adversarial robustness suggests that natural data distributions are localized, i.e., they place high probability in small volume regions of the input space, and that this property can be utilized for designing classifiers…

Machine Learning · Computer Science 2024-05-24 Ambar Pal , René Vidal , Jeremias Sulam

Federated learning is an emerging data-private distributed learning framework, which, however, is vulnerable to adversarial attacks. Although several heuristic defenses are proposed to enhance the robustness of federated learning, they do…

Machine Learning · Computer Science 2024-03-05 Cheng Chen , Bhavya Kailkhura , Ryan Goldhahn , Yi Zhou

Despite the efficacy on a variety of computer vision tasks, deep neural networks (DNNs) are vulnerable to adversarial attacks, limiting their applications in security-critical systems. Recent works have shown the possibility of generating…

Computer Vision and Pattern Recognition · Computer Science 2018-12-21 Ziang Yan , Yiwen Guo , Changshui Zhang

Backdoor attack is a severe security threat to deep neural networks (DNNs). We envision that, like adversarial examples, there will be a cat-and-mouse game for backdoor attacks, i.e., new empirical defenses are developed to defend against…

Cryptography and Security · Computer Science 2020-07-21 Binghui Wang , Xiaoyu Cao , Jinyuan jia , Neil Zhenqiang Gong

We propose and investigate probabilistic guarantees for the adversarial robustness of classification algorithms. While traditional formal verification approaches for robustness are intractable and sampling-based approaches do not provide…

Machine Learning · Computer Science 2025-11-11 Peter Blohm , Patrick Indri , Thomas Gärtner , Sagar Malhotra