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Autonomous Cyber-Physical Systems must often operate under uncertainties like sensor degradation and shifts in the operating conditions, which increases its operational risk. Dynamic Assurance of these systems requires designing runtime…

Robotics · Computer Science 2022-03-01 Shreyas Ramakrishna , Baiting Luo , Yogesh Barve , Gabor Karsai , Abhishek Dubey

We introduce a counting process to model the random occurrence in time of car traffic accidents, taking into account some aspects of the self-excitation typical of this phenomenon. By combining methods from probability and differential…

Physics and Society · Physics 2025-05-19 Simone Göttlich , Thomas Schillinger , Andrea Tosin

Traffic microscopic simulation applications are a common tool in road transportation analysis and several attempts to perform road safety assessments have recently been carried out. However, these approaches often ignore causal…

Computational Engineering, Finance, and Science · Computer Science 2018-10-12 Carlos Lima Azevedo , João L. Cardoso , Moshe E. Ben-Akiva

Model-based safety analysis approaches aim at finding critical failure combinations by analysis of models of the whole system (i.e. software, hardware, failure modes and environment). The advantage of these methods compared to traditional…

Logic in Computer Science · Computer Science 2010-06-29 Matthias Güdemann , Frank Ortmeier

We present an optimization-based method to plan the motion of an autonomous robot under the uncertainties associated with dynamic obstacles, such as humans. Our method bounds the marginal risk of collisions at each point in time by…

Robotics · Computer Science 2021-03-24 O. de Groot , B. Brito , L. Ferranti , D. Gavrila , J. Alonso-Mora

Rare events are ubiquitous in many different fields, yet they are notoriously difficult to simulate because few, if any, events are observed in a conventiona l simulation run. Over the past several decades, specialised simulation methods…

Statistical Mechanics · Physics 2015-05-13 Rosalind J. Allen , Chantal Valeriani , Pieter Rein ten Wolde

Risk management is particularly concerned with extreme events, but analysing these events is often hindered by the scarcity of data, especially in a multivariate context. This data scarcity complicates risk management efforts. Various tools…

Methodology · Statistics 2026-01-15 Nisrine Madhar , Juliette Legrand , Maud Thomas

Simulation data can be utilized to extend real-world driving data in order to cover edge cases, such as vehicle accidents. The importance of handling edge cases can be observed in the high societal costs in handling car accidents, as well…

Robotics · Computer Science 2020-07-24 Shivam Akhauri , Laura Zheng , Ming Lin

Prior work has looked at applying reinforcement learning and imitation learning approaches to autonomous driving scenarios, but either the safety or the efficiency of the algorithm is compromised. With the use of control barrier functions…

Robotics · Computer Science 2022-12-02 Soumith Udatha , Yiwei Lyu , John Dolan

This paper offers a formal framework for the rare collision risk estimation of autonomous vehicles (AVs) with multi-agent situation awareness, affected by different sources of noise in a complex dynamic environment. In our proposed setting,…

Systems and Control · Electrical Eng. & Systems 2024-05-03 Mahdieh Zaker , Henk A. P. Blom , Sadegh Soudjani , Abolfazl Lavaei

Systems engineering approaches use high-level models to capture the architecture and behavior of the system. However, when safety engineers conduct safety and reliability analysis, they have to create formal models, such as fault-trees,…

Software Engineering · Computer Science 2020-04-29 Simon József Nagy , Bence Graics , Kristóf Marussy , András Vörös

Estimating the probability of failures or accidents with aerospace systems is often necessary when new concepts or designs are introduced, as it is being done for Autonomous Aircraft. If the design is safe, as it is supposed to be, accident…

Applications · Statistics 2018-08-10 Ítalo Romani de Oliveira , Jeffery Musiak

Random geometric graphs defined on Euclidean subspaces, also called Gilbert graphs, are widely used to model spatially embedded networks across various domains. In such graphs, nodes are located at random in Euclidean space, and any two…

Probability · Mathematics 2026-04-23 Sarat Moka , Christian Hirsch , Volker Schmidt , Dirk Kroese

This article analyzes and compares two general techniques of rare event simulation for generating paths of Markov processes over fixed time horizons: exponential tilting and stochastic bridge. These two methods allow to accurately compute…

Statistical Mechanics · Physics 2025-08-27 Javier Aguilar , Riccardo Gatto

In the last four years, the number of distinct autonomous vehicles platforms deployed in the streets of California increased 6-fold, while the reported accidents increased 12-fold. This can become a trend with no signs of subsiding as it is…

Software Engineering · Computer Science 2020-05-18 Joachim Haensel , Christian M. Adriano , Johannes Dyck , Holger Giese

This paper focuses on learning a model of system dynamics online while satisfying safety constraints.Our motivation is to avoid offline system identification or hand-specified dynamics models and allowa system to safely and autonomously…

Robotics · Computer Science 2020-05-07 Mohammad Javad Khojasteh , Vikas Dhiman , Massimo Franceschetti , Nikolay Atanasov

We present a new approach to automated scenario-based testing of the safety of autonomous vehicles, especially those using advanced artificial intelligence-based components, spanning both simulation-based evaluation as well as testing in…

Systems and Control · Electrical Eng. & Systems 2020-07-14 Daniel J. Fremont , Edward Kim , Yash Vardhan Pant , Sanjit A. Seshia , Atul Acharya , Xantha Bruso , Paul Wells , Steve Lemke , Qiang Lu , Shalin Mehta

Safety-critical applications require controllers/policies that can guarantee safety with high confidence. The control barrier function is a useful tool to guarantee safety if we have access to the ground-truth system dynamics. In practice,…

Machine Learning · Computer Science 2021-12-30 Athindran Ramesh Kumar , Sulin Liu , Jaime F. Fisac , Ryan P. Adams , Peter J. Ramadge

Rare-event simulation techniques, such as importance sampling (IS), constitute powerful tools to speed up challenging estimation of rare catastrophic events. These techniques often leverage the knowledge and analysis on underlying system…

Methodology · Statistics 2021-11-04 Mansur Arief , Yuanlu Bai , Wenhao Ding , Shengyi He , Zhiyuan Huang , Henry Lam , Ding Zhao

We present an algorithm for finding the probabilities of rare events in nonequilibrium processes. The algorithm consists of evolving the system with a modified dynamics for which the required event occurs more frequently. By keeping track…

Statistical Mechanics · Physics 2011-04-07 Anupam Kundu , Sanjib Sabhapandit , Abhishek Dhar