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Verification plays an essential role in the formal analysis of safety-critical systems. Most current verification methods have specific requirements when working on Deep Neural Networks (DNNs). They either target one particular network…

Machine Learning · Computer Science 2023-04-04 Chi Zhang , Wenjie Ruan , Fu Wang , Peipei Xu , Geyong Min , Xiaowei Huang

Detecting kinetic vulnerabilities in Cyber-Physical Systems (CPS), vulnerabilities in control code that can precipitate hazardous physical consequences, is a critical challenge. This task is complicated by the need to analyze the intricate…

Cryptography and Security · Computer Science 2026-04-02 Kohei Tsujio , Mohammad Abdullah Al Faruque , Yasser Shoukry

Reachability analysis is at the core of many applications, from neural network verification, to safe trajectory planning of uncertain systems. However, this problem is notoriously challenging, and current approaches tend to be either too…

Systems and Control · Electrical Eng. & Systems 2020-11-10 Thomas Lew , Marco Pavone

Robust control problems have significant practical implications since external disturbances can significantly impact the performance of control methods. Existing robust control methods excel at control-affine systems but fail at neural…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Huixuan Cheng , Hanjiang Hu , Changliu Liu

We propose a novel Branch-and-Bound method for reachability analysis of neural networks in both open-loop and closed-loop settings. Our idea is to first compute accurate bounds on the Lipschitz constant of the neural network in certain…

Systems and Control · Electrical Eng. & Systems 2023-04-20 Taha Entesari , Sina Sharifi , Mahyar Fazlyab

The vulnerability of deep neural networks (DNNs) to adversarial examples has drawn great attention from the community. In this paper, we study the transferability of such examples, which lays the foundation of many black-box attacks on…

Machine Learning · Computer Science 2020-12-08 Yiwen Guo , Qizhang Li , Hao Chen

Ensuring the safety of autonomous systems under uncertainty is a critical challenge. Hamilton-Jacobi reachability (HJR) analysis is a widely used method for guaranteeing safety under worst-case disturbances. In this work, we propose HJRNO,…

Robotics · Computer Science 2025-06-09 Yankai Li , Mo Chen

We present a method for computing exact reachable sets for deep neural networks with rectified linear unit (ReLU) activation. Our method is well-suited for use in rigorous safety analysis of robotic perception and control systems with deep…

Robotics · Computer Science 2021-04-02 Joseph A. Vincent , Mac Schwager

Backwards reachability is an efficient zone-based approach for model checking probabilistic timed automata w.r.t. PTCTL properties. Current implementations, however, are restricted to maximum probabilities of reachability properties. In…

Logic in Computer Science · Computer Science 2022-08-26 Arnd Hartmanns , Bram Kohlen

Model-based reinforcement learning seeks to simultaneously learn the dynamics of an unknown stochastic environment and synthesise an optimal policy for acting in it. Ensuring the safety and robustness of sequential decisions made through a…

Machine Learning · Computer Science 2023-10-04 Matthew Wicker , Luca Laurenti , Andrea Patane , Nicola Paoletti , Alessandro Abate , Marta Kwiatkowska

This paper poses a theoretical characterization of the stochastic reachability problem in terms of probability measures, capturing the probability measure of the state of the system that satisfies the reachability specification for all…

Optimization and Control · Mathematics 2024-12-13 Karthik Sivaramakrishnan , Vignesh Sivaramakrishnan , Rosalyn Alex Devonport , Meeko M. K. Oishi

Among the major challenges in neural control system technology is the validation and certification of the safety and robustness of neural network (NN) controllers against various uncertainties including unmodelled dynamics, nonlinearities,…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Abdelhafid Zenati , Nabil Aouf

Sequential decision making using Markov Decision Process underpins many realworld applications. Both model-based and model free methods have achieved strong results in these settings. However, real-world tasks must balance reward…

Machine Learning · Computer Science 2026-04-01 Janaka Chathuranga Brahmanage , Akshat Kumar

Reachability analysis is a formal method to guarantee safety of dynamical systems under the influence of uncertainties. A substantial bottleneck of all reachability algorithms is the necessity to adequately tune specific algorithm…

Numerical Analysis · Mathematics 2024-02-23 Mark Wetzlinger , Niklas Kochdumper , Stanley Bak , Matthias Althoff

Machine learning driven image-based controllers allow robotic systems to take intelligent actions based on the visual feedback from their environment. Understanding when these controllers might lead to system safety violations is important…

Robotics · Computer Science 2024-04-11 Kaustav Chakraborty , Somil Bansal

We consider the problem of predictive monitoring (PM), i.e., predicting at runtime future violations of a system from the current state. We work under the most realistic settings where only partial and noisy observations of the state are…

Machine Learning · Computer Science 2021-08-18 Francesca Cairoli , Luca Bortolussi , Nicola Paoletti

In this work, we perform safety analysis of linear dynamical systems with uncertainties. Instead of computing a conservative overapproximation of the reachable set, our approach involves computing a statistical approximate reachable set. As…

Systems and Control · Electrical Eng. & Systems 2021-09-17 Bineet Ghosh , Parasara Sridhar Duggirala

Ensuring safety is important for the practical deployment of reinforcement learning (RL). Various challenges must be addressed, such as handling stochasticity in the environments, providing rigorous guarantees of persistent state-wise…

Machine Learning · Computer Science 2023-09-26 Milan Ganai , Zheng Gong , Chenning Yu , Sylvia Herbert , Sicun Gao

Higher-order pushdown systems (PDSs) generalise pushdown systems through the use of higher-order stacks, that is, a nested "stack of stacks" structure. These systems may be used to model higher-order programs and are closely related to the…

Computational Complexity · Computer Science 2015-07-01 Matthew Hague , C. -H. Luke Ong

The deployment of Large Language Models (LLMs) in robotic systems presents unique safety challenges, particularly in unpredictable environments. Although LLMs, leveraging zero-shot learning, enhance human-robot interaction and…

Robotics · Computer Science 2025-03-07 Ahmad Hafez , Alireza Naderi Akhormeh , Amr Hegazy , Amr Alanwar