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This paper proposes a novel learning-based framework for autonomous driving based on the concept of maximal safety probability. Efficient learning requires rewards that are informative of desirable/undesirable states, but such rewards are…

Robotics · Computer Science 2024-09-06 Hikaru Hoshino , Jiaxing Li , Arnav Menon , John M. Dolan , Yorie Nakahira

We extend the learning from demonstration paradigm by providing a method for learning unknown constraints shared across tasks, using demonstrations of the tasks, their cost functions, and knowledge of the system dynamics and control…

Robotics · Computer Science 2019-02-22 Glen Chou , Dmitry Berenson , Necmiye Ozay

Any autonomous controller will be unsafe in some situations. The ability to quantitatively identify when these unsafe situations are about to occur is crucial for drawing timely human oversight in, e.g., freight transportation applications.…

Machine Learning · Computer Science 2024-10-10 Alexander Grushin , Walt Woods , Alvaro Velasquez , Simon Khan

Modern safety-critical systems are heterogeneous, complex, and highly dynamic. They require reliability evaluation methods that go beyond the classical static methods such as fault trees, event trees, or reliability block diagrams.…

Logic in Computer Science · Computer Science 2020-04-15 Clemens Dubslaff , Andrey Morozov , Christel Baier , Klaus Janschek

Autonomous vehicles face tremendous challenges while interacting with human drivers in different kinds of scenarios. Developing control methods with safety guarantees while performing interactions with uncertainty is an ongoing research…

Robotics · Computer Science 2021-04-30 Yiwei Lyu , Wenhao Luo , John M. Dolan

Control schemes for autonomous systems are often designed in a way that anticipates the worst case in any situation. At runtime, however, there could exist opportunities to leverage the characteristics of specific environment and operation…

Systems and Control · Electrical Eng. & Systems 2020-05-11 Chao Huang , Shichao Xu , Zhilu Wang , Shuyue Lan , Wenchao Li , Qi Zhu

Safety-critical scenarios are essential for the development of autonomous vehicles (AVs) but are rare in real-world driving data. While simulation offers a way to generate such scenarios, manually designed test cases lack scalability, and…

Robotics · Computer Science 2026-05-07 Zimu Gong , Brian Zhaoning Zhang , Chris Zhang , Kelvin Wong , Raquel Urtasun

The goal of this paper is to develop provably efficient importance sampling Monte Carlo methods for the estimation of rare events within the class of linear stochastic partial differential equations (SPDEs). We find that if a spectral gap…

Probability · Mathematics 2017-05-05 Michael Salins , Konstantinos Spiliopoulos

Unfortunately, many people die in car accidents. To reduce these accidents, cars are equipped with driving safety systems. With autonomous vehicles, the driver's behavior becomes irrelevant as the car drives autonomously. All autonomous…

Robotics · Computer Science 2023-06-01 Nico Schick

We consider systems of stochastic differential equations with multiple scales and small noise and assume that the coefficients of the equations are ergodic and stationary random fields. Our goal is to construct provably-efficient importance…

Probability · Mathematics 2015-09-29 Konstantinos Spiliopoulos

With the growing interest in deploying robots in unstructured and uncertain environments, there has been increasing interest in factoring risk into safety-critical control development. Similarly, the authors believe risk should also be…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Prithvi Akella , Mohamadreza Ahmadi , Aaron D. Ames

In Part I (arXiv:1911.00619) of this article, we proposed an importance sampling algorithm to compute rare-event probabilities in forward uncertainty quantification problems. The algorithm, which we termed the "Bayesian Inverse Monte Carlo…

Computation · Statistics 2019-11-06 Siddhant Wahal , George Biros

The assessment of highly-risky situations at road intersections have been recently revealed as an important research topic within the context of the automotive industry. In this paper we shall introduce a novel approach to compute risk…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Alejandro Chinea Manrique De Lara , Michel Parent

We develop a novel computational method for evaluating the extreme excursion probabilities arising from random initialization of nonlinear dynamical systems. The method uses excursion probability theory to formulate a sequence of Bayesian…

Computational Physics · Physics 2020-06-08 Vishwas Rao , Romit Maulik , Emil Constantinescu , Mihai Anitescu

Autonomous driving has attracted great interest due to its potential capability in full-unsupervised driving. Model-based and learning-based methods are widely used in autonomous driving. Model-based methods rely on pre-defined models of…

Forecasting the future trajectories of surrounding agents is crucial for autonomous vehicles to ensure safe, efficient, and comfortable route planning. While model ensembling has improved prediction accuracy in various fields, its…

Machine Learning · Computer Science 2024-09-23 Aron Distelzweig , Eitan Kosman , Andreas Look , Faris Janjoš , Denesh K. Manivannan , Abhinav Valada

Deep learning has enjoyed much recent success, and applying state-of-the-art model learning methods to controls is an exciting prospect. However, there is a strong reluctance to use these methods on safety-critical systems, which have…

Systems and Control · Electrical Eng. & Systems 2021-07-06 David D. Fan , Jennifer Nguyen , Rohan Thakker , Nikhilesh Alatur , Ali-akbar Agha-mohammadi , Evangelos A. Theodorou

We develop a new algorithm for the estimation of rare event probabilities associated with the steady-state of a Markov stochastic process with continuous state space $\mathbb R^d$ and discrete time steps (i.e. a discrete-time $\mathbb…

Probability · Mathematics 2019-04-09 Krzysztof Bisewski , Daan Crommelin , Michel Mandjes

Evaluating rare but high-stakes events is one of the main challenges in obtaining reliable reinforcement learning policies, especially in large or infinite state/action spaces where limited scalability dictates a prohibitively large number…

Machine Learning · Computer Science 2022-10-04 Mengdi Xu , Peide Huang , Fengpei Li , Jiacheng Zhu , Xuewei Qi , Kentaro Oguchi , Zhiyuan Huang , Henry Lam , Ding Zhao

The capability to follow a lead-vehicle and avoid rear-end collisions is one of the most important functionalities for human drivers and various Advanced Driver Assist Systems (ADAS). Existing safety performance justification of the…

Robotics · Computer Science 2022-05-25 Bowen Weng , Minghao Zhu , Keith Redmill
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