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We investigate constrained optimal control problems for linear stochastic dynamical systems evolving in discrete time. We consider minimization of an expected value cost over a finite horizon. Hard constraints are introduced first, and then…

Optimization and Control · Mathematics 2011-07-07 Eugenio Cinquemani , Mayank Agarwal , Debasish Chatterjee , John Lygeros

Deep learning models, while achieving state-of-the-art performance on many tasks, are susceptible to adversarial attacks that exploit inherent vulnerabilities in their architectures. Adversarial attacks manipulate the input data with…

Computer Vision and Pattern Recognition · Computer Science 2023-12-07 Shreyasi Mandal

Deep neural networks are susceptible to \emph{adversarial} attacks. In computer vision, well-crafted perturbations to images can cause neural networks to make mistakes such as confusing a cat with a computer. Previous adversarial attacks…

Machine Learning · Computer Science 2019-09-12 Gamaleldin F. Elsayed , Ian Goodfellow , Jascha Sohl-Dickstein

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

Trajectory prediction using deep neural networks (DNNs) is an essential component of autonomous driving (AD) systems. However, these methods are vulnerable to adversarial attacks, leading to serious consequences such as collisions. In this…

Machine Learning · Computer Science 2022-08-02 Yulong Cao , Danfei Xu , Xinshuo Weng , Zhuoqing Mao , Anima Anandkumar , Chaowei Xiao , Marco Pavone

This paper proposes a novel second-order optimization algorithm based on the Optimal Control Principle (OCP), applicable to large-scale optimization problems in neural network training. The algorithm has a computational complexity of O(d)…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Jindi Zhong , Congyaohui Yin , Zhaorong Zhang , Huanshui Zhang

Autonomous driving systems (ADS) increasingly rely on deep learning-based perception models, which remain vulnerable to adversarial attacks. In this paper, we revisit adversarial attacks and defense methods, focusing on road sign…

Robotics · Computer Science 2025-05-26 Cheng Chen , Yuhong Wang , Nafis S Munir , Xiangwei Zhou , Xugui Zhou

This work studies the design of safe control policies for large-scale non-linear systems operating in uncertain environments. In such a case, the robust control framework is a principled approach to safety that aims to maximize the…

Systems and Control · Computer Science 2019-03-04 Edouard Leurent , Yann Blanco , Denis Efimov , Odalric-Ambrym Maillard

In this paper, we present a novel nonlinear programming-based approach to fine-tune pre-trained neural networks to improve robustness against adversarial attacks while maintaining high accuracy on clean data. Our method introduces…

Machine Learning · Computer Science 2024-10-28 Shudian Zhao , Jan Kronqvist

Machine learning classifiers are known to be vulnerable to inputs maliciously constructed by adversaries to force misclassification. Such adversarial examples have been extensively studied in the context of computer vision applications. In…

Machine Learning · Computer Science 2017-02-09 Sandy Huang , Nicolas Papernot , Ian Goodfellow , Yan Duan , Pieter Abbeel

An optimal control problem on finite-dimensional positive cones is stated. Under a critical assumption on the cone, the corresponding Bellman equation is satisfied by a linear function, which can be computed by convex optimization. A…

Optimization and Control · Mathematics 2024-10-02 Richard Pates , Anders Rantzer

Sensitivity to adversarial noise hinders deployment of machine learning algorithms in security-critical applications. Although many adversarial defenses have been proposed, robustness to adversarial noise remains an open problem. The most…

Machine Learning · Computer Science 2020-08-13 Alex Serban , Erik Poll , Joost Visser

Simulating hostile attacks of physical autonomous systems can be a useful tool to examine their robustness to attack and inform vulnerability-aware design. In this work, we examine this through the lens of multi-robot patrol, by presenting…

Robotics · Computer Science 2025-09-16 James C. Ward , Alex Bott , Connor York , Edmund R. Hunt

Solving complex optimal control problems have confronted computational challenges for a long time. Recent advances in machine learning have provided us with new opportunities to address these challenges. This paper takes model predictive…

Optimization and Control · Mathematics 2022-07-21 Weinan E , Jiequn Han , Jihao Long

This paper is about a real-time model predictive control (MPC) algorithm for a particular class of model based controllers, whose objective consists of a nominal tracking objective and an additional learning objective. Here, the…

Optimization and Control · Mathematics 2016-11-09 Xuhui Feng , Boris Houska

This paper investigates recently proposed approaches for defending against adversarial examples and evaluating adversarial robustness. We motivate 'adversarial risk' as an objective for achieving models robust to worst-case inputs. We then…

Machine Learning · Computer Science 2018-06-13 Jonathan Uesato , Brendan O'Donoghue , Aaron van den Oord , Pushmeet Kohli

Adversarial attacks can generate adversarial inputs by applying small but intentionally worst-case perturbations to samples from the dataset, which leads to even state-of-the-art deep neural networks outputting incorrect answers with high…

Machine Learning · Computer Science 2024-01-08 Shorya Sharma

Model predictive control can optimally deal with nonlinear systems under consideration of constraints. The control performance depends on the model accuracy and the prediction horizon. Recent advances propose to use reinforcement learning…

Machine Learning · Computer Science 2024-11-01 Dean Brandner , Sergio Lucia

We study the adaptive control of an unknown linear system with a quadratic cost function subject to safety constraints on both the states and actions. The challenges of this problem arise from the tension among safety, exploration,…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Yingying Li , Subhro Das , Jeff Shamma , Na Li

The rise of computer vision applications in the real world puts the security of the deep neural networks at risk. Recent works demonstrate that convolutional neural networks are susceptible to adversarial examples - where the input images…

Computer Vision and Pattern Recognition · Computer Science 2024-08-22 Sina Hajer Ahmadi , Hassan Bahrami