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To provide safety guarantees for learning-based control systems, recent work has developed formal verification methods to apply after training ends. However, if the trained policy does not meet the specifications, or there is conservatism…

Systems and Control · Electrical Eng. & Systems 2025-04-24 Puja Chaudhury , Alexander Estornell , Michael Everett

Computing reachability probabilities is a fundamental problem in the analysis of probabilistic programs. This paper aims at a comprehensive and comparative account on various martingale-based methods for over- and under-approximating…

Programming Languages · Computer Science 2018-11-16 Toru Takisaka , Yuichiro Oyabu , Natsuki Urabe , Ichiro Hasuo

Reachable sets for a dynamical system describe collections of system states that can be reached in finite time, subject to system dynamics. They can be used to guarantee goal satisfaction in controller design or to verify that unsafe…

Optimization and Control · Mathematics 2025-02-25 Vincent Liu , Chris Manzie , Peter M. Dower

We unify Hamilton-Jacobi (HJ) reachability and Reinforcement Learning (RL) through a proposed running cost formulation. We prove that the resultant travel-cost value function is the unique bounded viscosity solution of a time-dependent…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Prashant Solanki , Isabelle El-Hajj , Jasper van Beers , Erik-Jan van Kampen , Coen de Visser

Vanilla Reinforcement Learning (RL) can efficiently solve complex tasks but does not provide any guarantees on system behavior. To bridge this gap, we propose a three-step safe RL procedure for continuous action spaces that provides…

Robotics · Computer Science 2023-09-29 Hanna Krasowski , Prithvi Akella , Aaron D. Ames , Matthias Althoff

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…

Machine Learning · Computer Science 2023-06-28 Zhen Liang , Dejin Ren , Bai Xue , Ji Wang , Wenjing Yang , Wanwei Liu

This work focuses on Hierarchical Inference (HI) in edge intelligence systems, where a compact Local-ML model on an end-device works in conjunction with a high-accuracy Remote-ML model on an edge-server. HI aims to reduce latency, improve…

Machine Learning · Computer Science 2025-12-23 Sameep Chattopadhyay , Vinay Sutar , Jaya Prakash Champati , Sharayu Moharir

Machine learning has made remarkable advancements, but confidently utilising learning-enabled components in safety-critical domains still poses challenges. Among the challenges, it is known that a rigorous, yet practical, way of achieving…

Machine Learning · Computer Science 2024-09-21 Saddek Bensalem , Chih-Hong Cheng , Wei Huang , Xiaowei Huang , Changshun Wu , Xingyu Zhao

This paper investigates the problem of maintaining the safe operation of Waste-to-Energy (WtE) systems under operational constraints and uncertain waste inflows. We model this as a robust viability problem, formulated as a zero-sum…

Optimization and Control · Mathematics 2026-04-02 Achraf Bouhmady , Othman Cherkaoui Dekkaki

We provide a tutorial introduction to reachability computation, a class of computational techniques that exports verification technology toward continuous and hybrid systems. For open under-determined systems, this technique can sometimes…

Systems and Control · Computer Science 2014-03-06 Oded Maler

Ensuring the safety of complex dynamical systems often relies on Hamilton-Jacobi (HJ) Reachability Analysis or Control Barrier Functions (CBFs). Both methods require computing a function that characterizes a safe set that can be made…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Jixian Liu , Enrique Mallada

The possibility of errors in human-engineered formal verification software, such as model checkers, poses a serious threat to the purpose of these tools. An established approach to mitigate this problem are certificates -- lightweight,…

Logic in Computer Science · Computer Science 2025-01-22 Krishnendu Chatterjee , Tim Quatmann , Maximilian Schäffeler , Maximilian Weininger , Tobias Winkler , Daniel Zilken

In large-scale networks of uncertain dynamical systems, where communication is limited and there is a strong interaction among subsystems, learning local models and control policies offers great potential for designing high-performance…

Systems and Control · Electrical Eng. & Systems 2021-11-08 Andrea Carron , Jerome Sieber , Melanie N. Zeilinger

We present ProbReach, a tool for verifying probabilistic reachability for stochastic hybrid systems, i.e., computing the probability that the system reaches an unsafe region of the state space. In particular, ProbReach will compute an…

Logic in Computer Science · Computer Science 2015-03-06 Fedor Shmarov , Paolo Zuliani

Leveraging recent developments in black-box risk-aware verification, we provide three algorithms that generate probabilistic guarantees on (1) optimality of solutions, (2) recursive feasibility, and (3) maximum controller runtimes for…

Optimization and Control · Mathematics 2023-03-14 Prithvi Akella , Wyatt Ubellacker , Aaron D. Ames

Simulation-based verification algorithms can provide formal safety guarantees for nonlinear and hybrid systems. The previous algorithms rely on user provided model annotations called discrepancy function, which are crucial for computing…

Systems and Control · Computer Science 2015-02-09 Chuchu Fan , Sayan Mitra

Deploying deep neural networks for risk-sensitive tasks necessitates an uncertainty estimation mechanism. This paper introduces hierarchical selective classification, extending selective classification to a hierarchical setting. Our…

Machine Learning · Computer Science 2025-01-07 Shani Goren , Ido Galil , Ran El-Yaniv

When autonomous vehicles encounter untrained scenarios, ensuring safety hinges on effective safety verification to prevent accidents stemming from unexpected model decisions. Reachability analysis, a method of safety verification, offers…

Systems and Control · Electrical Eng. & Systems 2025-12-05 Lingxiang Fan , Linxuan He , Haoyuan Ji , Shuo Feng

In order for an autonomous robot to efficiently explore an unknown environment, it must account for uncertainty in sensor measurements, hazard assessment, localization, and motion execution. Making decisions for maximal reward in a…

Reinforcement learning has shown promising results in learning neural network policies for complicated control tasks. However, the lack of formal guarantees about the behavior of such policies remains an impediment to their deployment. We…

Machine Learning · Computer Science 2023-12-05 Đorđe Žikelić , Mathias Lechner , Abhinav Verma , Krishnendu Chatterjee , Thomas A. Henzinger