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Solving decision problems in complex, stochastic environments is often achieved by estimating the expected outcome of decisions via Monte Carlo sampling. However, sampling may overlook rare, but important events, which can severely impact…

Machine Learning · Statistics 2023-05-16 Lachlan Gibson , Marcus Hoerger , Dirk Kroese

This work explores the nature of augmented importance sampling in safety-constrained model predictive control problems. When operating in a constrained environment, sampling based model predictive control and motion planning typically…

Systems and Control · Electrical Eng. & Systems 2022-04-13 Manan Gandhi , Hassan Almubarak , Yuichiro Aoyama , Evangelos Theodorou

Long-tail and rare event problems become crucial when autonomous driving algorithms are applied in the real world. For the purpose of evaluating systems in challenging settings, we propose a generative framework to create safety-critical…

Robotics · Computer Science 2020-07-24 Wenhao Ding , Baiming Chen , Minjun Xu , Ding Zhao

We address the problem of safely learning controlled stochastic dynamics from discrete-time trajectory observations, ensuring system trajectories remain within predefined safe regions during both training and deployment. Safety-critical…

Machine Learning · Statistics 2026-02-03 Luc Brogat-Motte , Alessandro Rudi , Riccardo Bonalli

Ensuring safe autonomous driving in the presence of occlusions poses a significant challenge in its policy design. While existing model-driven control techniques based on set invariance can handle visible risks, occlusions create latent…

Systems and Control · Electrical Eng. & Systems 2025-10-16 Zhuoyuan Wang , Tongyao Jia , Pharuj Rajborirug , Neeraj Ramesh , Hiroyuki Okuda , Tatsuya Suzuki , Soummya Kar , Yorie Nakahira

Autonomous Systems (AS) are increasingly proposed, or used, in Safety Critical (SC) applications. Many such systems make use of sophisticated sensor suites and processing to provide scene understanding which informs the AS' decision-making.…

Systems and Control · Electrical Eng. & Systems 2022-08-19 John Molloy , John McDermid

Simulation is an indispensable tool in the development and testing of autonomous vehicles (AVs), offering an efficient and safe alternative to road testing. An outstanding challenge with simulation-based testing is the generation of…

Robotics · Computer Science 2024-12-13 Peide Huang , Wenhao Ding , Benjamin Stoler , Jonathan Francis , Bingqing Chen , Ding Zhao

Reinforcement learning has been successfully used to solve difficult tasks in complex unknown environments. However, these methods typically do not provide any safety guarantees during the learning process. This is particularly problematic,…

Systems and Control · Electrical Eng. & Systems 2019-07-02 Torsten Koller , Felix Berkenkamp , Matteo Turchetta , Joschka Boedecker , Andreas Krause

Balancing the trade-off between safety and efficiency is of significant importance for path planning under uncertainty. Many risk-aware path planners have been developed to explicitly limit the probability of collision to an acceptable…

Robotics · Computer Science 2022-10-26 Fei Meng , Liangliang Chen , Han Ma , Jiankun Wang , Max Q. -H. Meng

We introduce a path sampling method for obtaining statistical properties of an arbitrary stochastic dynamics. The method works by decomposing a trajectory in time, estimating the probability of satisfying a progress constraint, modifying…

Statistical Mechanics · Physics 2015-06-04 Nicholas Guttenberg , Aaron R. Dinner , Jonathan Weare

Risk assessment is a central element for the development and validation of Autonomous Vehicles (AV). It comprises a combination of occurrence probability and severity of future critical events. Time Headway (TH) as well as Time-To-Contact…

Artificial Intelligence · Computer Science 2023-03-14 Tim Puphal , Malte Probst , Julian Eggert

Autonomous systems, such as self-driving vehicles, quadrupeds, and robot manipulators, are largely enabled by the rapid development of artificial intelligence. However, such systems involve several trustworthy challenges such as safety,…

Robotics · Computer Science 2023-05-02 Wenhao Ding

In this work, we propose an algorithm to simulate rare events for electronic circuit design. Our approach heavily relies on a smart use of importance sampling, which enables us to tackle probabilities of the magnitude 10 --10. Not only can…

Probability · Mathematics 2021-09-20 Xavier Jonsson , Jérôme Lelong

Sampling-based motion planning techniques have emerged as an efficient algorithmic paradigm for solving complex motion planning problems. These approaches use a set of probing samples to construct an implicit graph representation of the…

Robotics · Computer Science 2019-10-10 Brian Ichter , Edward Schmerling , Tsang-Wei Edward Lee , Aleksandra Faust

Machine learning models have prevalent applications in many real-world problems, which increases the importance of correctness in the behaviour of these trained models. Finding a good test case that can reveal the potential failure in these…

Machine Learning · Computer Science 2022-06-14 Harsh Vardhan , Janos Sztipanovits

Discovering potential failures of an autonomous system is important prior to deployment. Falsification-based methods are often used to assess the safety of such systems, but the cost of running many accurate simulation can be high. The…

Robotics · Computer Science 2023-10-03 Marc R. Schlichting , Nina V. Boord , Anthony L. Corso , Mykel J. Kochenderfer

Simulation is essential to validate autonomous driving systems. However, a simple simulation, even for an extremely high number of simulated miles or hours, is not sufficient. We need well-founded criteria showing that simulation does…

Software Engineering · Computer Science 2023-01-24 Changwen Li , Joseph Sifakis , Qiang Wang , Rongjie Yan , Jian Zhang

Accurate quantification of safety is essential for the design of autonomous systems. In this paper, we present a methodology to characterize the exact probabilities associated with invariance and recovery in safe control. We consider a…

Optimization and Control · Mathematics 2021-04-22 Albert Chern , Xiang Wang , Abhiram Iyer , Yorie Nakahira

The increasing adoption of Reinforcement Learning in safety-critical systems domains such as autonomous vehicles, health, and aviation raises the need for ensuring their safety. Existing safety mechanisms such as adversarial training,…

Machine Learning · Computer Science 2021-11-11 Paulina Stevia Nouwou Mindom , Amin Nikanjam , Foutse Khomh , John Mullins

Although ground robotic autonomy has gained widespread usage in structured and controlled environments, autonomy in unknown and off-road terrain remains a difficult problem. Extreme, off-road, and unstructured environments such as…

Robotics · Computer Science 2021-06-29 David D. Fan , Kyohei Otsu , Yuki Kubo , Anushri Dixit , Joel Burdick , Ali-Akbar Agha-Mohammadi
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