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This paper aims to enhance the computational efficiency of safety verification of neural network control systems by developing a guaranteed neural network model reduction method. First, a concept of model reduction precision is proposed to…

Machine Learning · Computer Science 2023-01-19 Weiming Xiang , Zhongzhu Shao

Learning reliably safe autonomous control is one of the core problems in trustworthy autonomy. However, training a controller that can be formally verified to be safe remains a major challenge. We introduce a novel approach for learning…

Machine Learning · Computer Science 2024-11-19 Junlin Wu , Huan Zhang , Yevgeniy Vorobeychik

Neural Networks (NNs) can provide major empirical performance improvements for robotic systems, but they also introduce challenges in formally analyzing those systems' safety properties. In particular, this work focuses on estimating the…

Systems and Control · Electrical Eng. & Systems 2021-05-26 Michael Everett , Golnaz Habibi , Jonathan P. How

The design of tracking controllers that closely follow a reference trajectory while ensuring safety and robustness against disturbances is a challenging problem in the control of autonomous systems. In this work, we propose a neural…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Yuezhu Xu , Mohamed Serry , Jun Liu , S. Sivaranjani

Verification of deep neural networks has witnessed a recent surge of interest, fueled by success stories in diverse domains and by abreast concerns about safety and security in envisaged applications. Complexity and sheer size of such…

Machine Learning · Computer Science 2020-03-18 Dario Guidotti , Francesco Leofante , Luca Pulina , Armando Tacchella

The increasing use of deep neural networks for safety-critical applications, such as autonomous driving and flight control, raises concerns about their safety and reliability. Formal verification can address these concerns by guaranteeing…

Artificial Intelligence · Computer Science 2018-02-06 Lindsey Kuper , Guy Katz , Justin Gottschlich , Kyle Julian , Clark Barrett , Mykel Kochenderfer

As drones and autonomous cars become more widespread it is becoming increasingly important that robots can operate safely under realistic conditions. The noisy information fed into real systems means that robots must use estimates of the…

Robotics · Computer Science 2017-06-01 Brian Axelrod , Leslie Pack Kaelbling , Tomás Lozano-Pérez

Even though neural networks are being increasingly deployed in safety-critical control applications, it remains difficult to enforce constraints on their output, meaning that it is hard to guarantee safety in such settings. While many…

Machine Learning · Computer Science 2025-08-27 Long Kiu Chung , Shreyas Kousik

This paper presents a new approach to design verified compositions of Neural Network (NN) controllers for autonomous systems with tasks captured by Linear Temporal Logic (LTL) formulas. Particularly, the LTL formula requires the system to…

Robotics · Computer Science 2022-09-14 Jun Wang , Samarth Kalluraya , Yiannis Kantaros

Deploying deep reinforcement learning in safety-critical settings requires developing algorithms that obey hard constraints during exploration. This paper contributes a first approach toward enforcing formal safety constraints on end-to-end…

Artificial Intelligence · Computer Science 2020-07-03 Nathan Hunt , Nathan Fulton , Sara Magliacane , Nghia Hoang , Subhro Das , Armando Solar-Lezama

Neural network controllers have shown potential in achieving superior performance in feedback control systems. Although a neural network can be trained efficiently using deep and reinforcement learning methods, providing formal guarantees…

Optimization and Control · Mathematics 2024-01-10 Han Wang , Zuxun Xiong , Liqun Zhao , Antonis Papachristodoulou

Neural networks are increasingly deployed in real-world safety-critical domains such as autonomous driving, aircraft collision avoidance, and malware detection. However, these networks have been shown to often mispredict on inputs with…

Machine Learning · Computer Science 2018-11-09 Shiqi Wang , Kexin Pei , Justin Whitehouse , Junfeng Yang , Suman Jana

Deep Neural Network-based systems are now the state-of-the-art in many robotics tasks, but their application in safety-critical domains remains dangerous without formal guarantees on network robustness. Small perturbations to sensor inputs…

Machine Learning · Computer Science 2022-02-03 Michael Everett , Bjorn Lutjens , Jonathan P. How

Deep Neural Network-based systems are now the state-of-the-art in many robotics tasks, but their application in safety-critical domains remains dangerous without formal guarantees on network robustness. Small perturbations to sensor inputs…

Robotics · Computer Science 2020-03-10 Björn Lütjens , Michael Everett , Jonathan P. How

Neural Networks (NNs) have increasingly apparent safety implications commensurate with their proliferation in real-world applications: both unanticipated as well as adversarial misclassifications can result in fatal outcomes. As a…

Machine Learning · Computer Science 2021-04-20 Haitham Khedr , James Ferlez , Yasser Shoukry

Neural networks (NNs) are increasingly applied in safety-critical systems such as autonomous vehicles. However, they are fragile and are often ill-behaved. Consequently, their behaviors should undergo rigorous guarantees before deployment…

Artificial Intelligence · Computer Science 2022-10-11 Zhen Liang , Dejin Ren , Wanwei Liu , Ji Wang , Wenjing Yang , Bai Xue

Enforcing constraint satisfaction in neural network outputs is critical for safety, reliability, and physical fidelity in many control and decision-making applications. While soft-constrained methods penalize constraint violations during…

Machine Learning · Computer Science 2026-05-28 Andrea Goertzen , Kaveh Alim , Youngjae Min , Navid Azizan

Deep Neural Networks (DNNs) are finding important applications in safety-critical systems such as Autonomous Vehicles (AVs), where perceiving the environment correctly and robustly is necessary for safe operation. Raising unique challenges…

Machine Learning · Computer Science 2020-03-26 Edward Ayers , Francisco Eiras , Majd Hawasly , Iain Whiteside

Groundbreaking successes have been achieved by Deep Reinforcement Learning (DRL) in solving practical decision-making problems. Robotics, in particular, can involve high-cost hardware and human interactions. Hence, scrupulous evaluations of…

Artificial Intelligence · Computer Science 2020-10-20 Davide Corsi , Enrico Marchesini , Alessandro Farinelli

In this paper, we introduce a flexible notion of safety verification for nonlinear autonomous systems by measuring how much time the system spends in given unsafe regions. We consider this problem in the particular case of nonlinear systems…

Optimization and Control · Mathematics 2019-04-12 Ximing Chen , Shaoru Chen , Victor M. Preciado