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We study the control of a linear dynamical system with adversarial disturbances (as opposed to statistical noise). The objective we consider is one of regret: we desire an online control procedure that can do nearly as well as that of a…

Machine Learning · Computer Science 2019-02-26 Naman Agarwal , Brian Bullins , Elad Hazan , Sham M. Kakade , Karan Singh

Adversarial learning has emerged as one of the successful techniques to circumvent the susceptibility of existing methods against adversarial perturbations. However, the majority of existing defense methods are tailored to defend against a…

Machine Learning · Computer Science 2021-06-28 Divyam Madaan , Jinwoo Shin , Sung Ju Hwang

We study the online robust control problem for linear dynamical systems with disturbances and uncertainties in the cost functions, with limited preview of the future disturbances and the cost functions, $N$. Our goal is to find an online…

Optimization and Control · Mathematics 2022-11-01 Deepan Muthirayan , Dileep Kalathil , Pramod P. Khargonekar

In this work we consider the online control of a known linear dynamic system with adversarial disturbance and adversarial controller cost. The goal in online control is to minimize the regret, defined as the difference between cumulative…

Optimization and Control · Mathematics 2021-10-15 Deepan Muthirayan , Jianjun Yuan , Pramod P. Khargonekar

Advances in deep learning have enabled a wide range of promising applications. However, these systems are vulnerable to Adversarial Machine Learning (AML) attacks; adversarially crafted perturbations to their inputs could cause them to…

Cryptography and Security · Computer Science 2022-01-06 Amira Guesmi , Khaled N. Khasawneh , Nael Abu-Ghazaleh , Ihsen Alouani

In this work we address the problem of the online robust control of nonlinear dynamical systems perturbed by disturbance. We study the problem of attenuation of the total cost over a duration $T$ in response to the disturbances. We consider…

Systems and Control · Electrical Eng. & Systems 2022-09-14 Deepan Muthirayan , Pramod P. Khargonekar

This paper studies the control of safety-critical dynamical systems in the presence of adversarial disturbances. We seek to synthesize state-feedback controllers to minimize a cost incurred due to the disturbance, while respecting a safety…

Systems and Control · Electrical Eng. & Systems 2020-09-22 Bhaskar Ramasubramanian , Baicen Xiao , Linda Bushnell , Radha Poovendran

In general, adversarial perturbations superimposed on inputs are realistic threats for a deep neural network (DNN). In this paper, we propose a practical generation method of such adversarial perturbation to be applied to black-box attacks…

Machine Learning · Computer Science 2020-02-19 Hisaichi Shibata , Shouhei Hanaoka , Yukihiro Nomura , Naoto Hayashi , Osamu Abe

Online multi-agent control problems, where many agents pursue competing and time-varying objectives, are widespread in domains such as autonomous robotics, economics, and energy systems. In these settings, robustness to adversarial…

Machine Learning · Computer Science 2025-09-29 Anas Barakat , John Lazarsfeld , Georgios Piliouras , Antonios Varvitsiotis

In this work, we consider one challenging training time attack by modifying training data with bounded perturbation, hoping to manipulate the behavior (both targeted or non-targeted) of any corresponding trained classifier during test time…

Machine Learning · Computer Science 2019-05-23 Ji Feng , Qi-Zhi Cai , Zhi-Hua Zhou

We investigate robust model-free reinforcement learning algorithms designed for environments that may be dynamic or even adversarial. Traditional state-based policies often struggle to accommodate the challenges imposed by the presence of…

Machine Learning · Computer Science 2023-11-02 Udaya Ghai , Arushi Gupta , Wenhan Xia , Karan Singh , Elad Hazan

We introduce a new algorithm for online linear-quadratic control in a known system subject to adversarial disturbances. Existing regret bounds for this setting scale as $\sqrt{T}$ unless strong stochastic assumptions are imposed on the…

Machine Learning · Computer Science 2020-06-24 Dylan J. Foster , Max Simchowitz

Neural networks are vulnerable to adversarially-constructed perturbations of their inputs. Most research so far has considered perturbations of a fixed magnitude under some $l_p$ norm. Although studying these attacks is valuable, there has…

Machine Learning · Computer Science 2019-10-02 Isaac Dunn , Hadrien Pouget , Tom Melham , Daniel Kroening

Adversarial perturbations can pose a serious threat for deploying machine learning systems. Recent works have shown existence of image-agnostic perturbations that can fool classifiers over most natural images. Existing methods present…

Computer Vision and Pattern Recognition · Computer Science 2018-03-29 Konda Reddy Mopuri , Utkarsh Ojha , Utsav Garg , R. Venkatesh Babu

We consider the problem of tracking an adversarial state sequence in a linear dynamical system subject to adversarial disturbances and loss functions, generalizing earlier settings in the literature. To this end, we develop three…

Machine Learning · Computer Science 2022-02-23 Zhiyu Zhang , Ashok Cutkosky , Ioannis Ch. Paschalidis

We study the problem of online non-stochastic control (ONC), which is the control of a linear system under adversarial disturbances and adversarial cost functions, with the aim of minimizing the total cost incurred. A recent line of…

Optimization and Control · Mathematics 2026-04-21 Vijeth Hebbar , Spencer Hutchinson , Mahnoosh Alizadeh , Cédric Langbort

A key source of brittleness for robotic systems is the presence of model uncertainty and external disturbances. Most existing approaches to robust control either seek to bound the worst-case disturbance (which results in conservative…

Systems and Control · Electrical Eng. & Systems 2023-11-15 Ryan K. Cosner , Igor Sadalski , Jana K. Woo , Preston Culbertson , Aaron D. Ames

This paper proposes a new algorithm for compensating external disturbances for class of multi-channel linear systems. The solution to this problem is based on the use of the internal model principle and the extended error adaptation…

Systems and Control · Electrical Eng. & Systems 2023-10-12 V. H. Bui , A. A. Margun

This paper addresses the distributed online control problem over a network of linear time-invariant (LTI) systems (with possibly unknown dynamics) in the presence of adversarial perturbations. There exists a global network cost that is…

Optimization and Control · Mathematics 2023-10-06 Ting-Jui Chang , Shahin Shahrampour

The field of computer vision has witnessed phenomenal progress in recent years partially due to the development of deep convolutional neural networks. However, deep learning models are notoriously sensitive to adversarial examples which are…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Haofeng Li , Yirui Zeng , Guanbin Li , Liang Lin , Yizhou Yu
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