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There have been numerous advances in reinforcement learning, but the typically unconstrained exploration of the learning process prevents the adoption of these methods in many safety critical applications. Recent work in safe reinforcement…

Machine Learning · Computer Science 2019-10-02 David Isele , Alireza Nakhaei , Kikuo Fujimura

The numerical quantification of the statistics of rare events in stochastic processes is a challenging computational problem. We present a sampling method that constructs an ensemble of stochastic trajectories that are constrained to have…

Statistical Mechanics · Physics 2022-07-13 Javier Aguilar , Joseph W. Baron , Tobias Galla , Raul Toral

Safety is a central requirement for automated vehicles. As such, the assessment of risk in automated driving is key in supporting both motion planning technologies and safety evaluation. In automated driving, risk is characterized by two…

Robotics · Computer Science 2026-01-22 Leon Tolksdorf , Arturo Tejada , Jonas Bauernfeind , Christian Birkner , Nathan van de Wouw

Path-tracking control of self-driving vehicles can benefit from deep learning for tackling longstanding challenges such as nonlinearity and uncertainty. However, deep neural controllers lack safety guarantees, restricting their practical…

Robotics · Computer Science 2022-08-09 Zhizhen Qin , Tsui-Wei Weng , Sicun Gao

This paper studies the security of cyber-physical systems under attacks. Our goal is to design system parameters, such as a set of initial conditions and input bounds so that it is secure by design. To this end, we propose new sufficient…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Kunal Garg , Ricardo G. Sanfelice , Alvaro A. Cardenas

We present an overview of recently developed data-driven tools for safety analysis of autonomous vehicles and advanced driver assist systems. The core algorithms combine model-based, hybrid system reachability analysis with sensitivity…

Systems and Control · Computer Science 2017-04-24 Chuchu Fan , Bolun Qi , Sayan Mitra

There has been a significant increase in the development of data-driven safety analytics approaches in recent years. In light of these advances it has become imperative to evaluate such approaches in a principled way to determine their…

Applications · Statistics 2022-05-02 Antonio R. Paiva , Ashutosh Tewari

Testing and evaluation are expensive but critical steps in the development of connected and automated vehicles (CAVs). In this paper, we develop an adaptive sampling framework to efficiently evaluate the accident rate of CAVs, particularly…

Robotics · Computer Science 2023-06-02 Xianliang Gong , Shuo Feng , Yulin Pan

This article reviews the concepts and methods of variational path sampling. These methods allow computational studies of rare events in systems driven arbitrarily far from equilibrium. Based upon a statistical mechanics of trajectory space…

Chemical Physics · Physics 2025-02-05 Aditya N. Singh , Avishek Das , David T. Limmer

State-of-the-art methods for rare event simulation of non-Markovian models face practical or theoretical limits if observing the event of interest requires prior knowledge or information on the timed behavior of the system. In this paper,…

Logic in Computer Science · Computer Science 2025-06-25 Gabriel Dengler , Carlos E. Budde , Laura Carnevali , Arnd Hartmanns

We propose a novel class of risk-aware control barrier functions (RA-CBFs) for the control of stochastic safety-critical systems. Leveraging a result from the stochastic level-crossing literature, we deviate from the martingale theory that…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Mitchell Black , Georgios Fainekos , Bardh Hoxha , Danil Prokhorov , Dimitra Panagou

Probabilistic security assessment and real-time dynamic security assessments (DSA) are promising to better handle the risks of system operations. The current methodologies of security assessments may require many time-domain simulations for…

Systems and Control · Electrical Eng. & Systems 2023-01-06 Jochen L. Cremer , Goran Strbac

Estimating rare events in complex systems is a key challenge in reliability analysis. The challenge grows in multimodal problems, where traditional methods often rely on a small set of design points and risk overlooking critical failure…

Computation · Statistics 2025-08-04 Sara Helal , Victor Elvira

This paper addresses the design of safety certificates for stochastic systems, with a focus on ensuring long-term safety through fast real-time control. In stochastic environments, set invariance-based methods that restrict the probability…

Systems and Control · Electrical Eng. & Systems 2026-01-07 Zhuoyuan Wang , Haoming Jing , Christian Kurniawan , Albert Chern , Yorie Nakahira

Control applications for cyber-physical systems must make reliably safe control decisions in the presence of continuous dynamics as well as stochastic uncertainty. Providing safety guarantees for such systems requires formal modeling and…

Formal Languages and Automata Theory · Computer Science 2026-04-28 Joanna Delicaris , Erika Ábrahám , Anne Remke

This paper proposes tackling safety-critical stochastic Reinforcement Learning (RL) tasks with a sample-based, model-based approach. At the core of the method lies a Model Predictive Control (MPC) scheme that acts as function approximation,…

Systems and Control · Electrical Eng. & Systems 2025-07-30 Filippo Airaldi , Bart De Schutter , Azita Dabiri

In contemporary autonomous driving testing, virtual simulation has become an important approach due to its efficiency and cost effectiveness. However, existing methods usually rely on reinforcement learning to generate risky scenarios,…

Robotics · Computer Science 2026-03-24 Chen Xiong , Cheng Wang , Yuhang Liu , Zirui Wu , Ye Tian

Assessing the risk of low-probability high-impact transient instability (TI) events is crucial for ensuring robust and stable power system operation under high uncertainty. However, direct Monte Carlo (DMC) simulation for rare TI event…

Systems and Control · Electrical Eng. & Systems 2025-03-05 Jingyu Liu , Xiaoting Wang , Xiaozhe Wang

Safety filters provide a practical approach for enforcing safety constraints in autonomous systems. While learning-based tools scale to high-dimensional systems, their performance depends on informative data that includes states likely to…

Robotics · Computer Science 2026-04-16 James Dallas , Thomas Lew , John Talbot , Jonathan DeCastro , Somil Bansal , John Subosits

Failures are challenging for learning to control physical systems since they risk damage, time-consuming resets, and often provide little gradient information. Adding safety constraints to exploration typically requires a lot of prior…

Machine Learning · Computer Science 2019-10-08 Steve Heim , Alexander von Rohr , Sebastian Trimpe , Alexander Badri-Spröwitz
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