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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

In the study of natural and artificial complex systems, responses that are not completely determined by the considered decision variables are commonly modelled probabilistically, resulting in response distributions varying across decision…

Methodology · Statistics 2021-10-07 Athénaïs Gautier , David Ginsbourger , Guillaume Pirot

In modern data analysis, nonparametric measures of discrepancies between random variables are particularly important. The subject is well-studied in the frequentist literature, while the development in the Bayesian setting is limited where…

Methodology · Statistics 2022-01-25 Qinyi Zhang , Veit Wild , Sarah Filippi , Seth Flaxman , Dino Sejdinovic

Constrained random test generation is one of the most widely adopted methods for generating stimuli for simulation-based verification. Randomness leads to test diversity, but tests tend to repeatedly exercise the same design logic.…

Hardware Architecture · Computer Science 2022-10-18 Nyasha Masamba , Kerstin Eder , Tim Blackmore

In order to certify performance and safety, feedback control requires precise characterization of sensor errors. In this paper, we provide guarantees on such feedback systems when sensors are characterized by solving a supervised learning…

Machine Learning · Computer Science 2021-04-20 Sarah Dean , Benjamin Recht

A kernel method is proposed to estimate the condensed density of the generalized eigenvalues of pencils of Hankel matrices whose elements have a joint noncentral Gaussian distribution with nonidentical covariance. These pencils arise when…

Statistics Theory · Mathematics 2015-10-02 Piero Barone

In this paper we consider autonomous driving of miniature race cars. The viability kernel is used to efficiently generate finite look-ahead trajectories that maximize progress while remaining recursively feasible with respect to static…

Systems and Control · Computer Science 2017-12-12 Alexander Liniger , John Lygeros

We present a data-driven algorithm for efficiently computing stochastic control policies for general joint chance constrained optimal control problems. Our approach leverages the theory of kernel distribution embeddings, which allows…

Systems and Control · Electrical Eng. & Systems 2022-02-10 Adam J. Thorpe , Thomas Lew , Meeko M. K. Oishi , Marco Pavone

Gaussian Process (GPs) models are a rich distribution over functions with inductive biases controlled by a kernel function. Learning occurs through the optimisation of kernel hyperparameters using the marginal likelihood as the objective.…

Machine Learning · Statistics 2021-11-22 Fergus Simpson , Vidhi Lalchand , Carl Edward Rasmussen

We propose and analyze a generalized splitting method to sample approximately from a distribution conditional on the occurrence of a rare event. This has important applications in a variety of contexts in operations research, engineering,…

Methodology · Statistics 2019-09-10 Zdravko I. Botev , Pierre L'Ecuyer

A novel algorithm is presented for the estimation of collision probabilities between dynamic objects with uncertain trajectories, where the trajectories are given as a sequence of poses with Gaussian distributions. We propose an adaptive…

Robotics · Computer Science 2025-07-09 Charles Champagne Cossette , Taylor Scott Clawson , Andrew Feit

We introduce a rigorous framework for stochastic cell transmission models for general traffic networks. The performance of traffic systems is evaluated based on preference functionals and acceptable designs. The numerical implementation…

Machine Learning · Computer Science 2023-04-25 Zachary Feinstein , Marcel Kleiber , Stefan Weber

While variable selection is essential to optimize the learning complexity by prioritizing features, automating the selection process is preferred since it requires laborious efforts with intensive analysis otherwise. However, it is not an…

Machine Learning · Computer Science 2019-10-29 Makiya Nakashima , Alex Sim , Youngsoo Kim , Jonghyun Kim , Jinoh Kim

Evaluating the performance of autonomous vehicles (AV) and their complex subsystems to high precision under naturalistic circumstances remains a challenge, especially when failure or dangerous cases are rare. Rarity does not only require an…

Machine Learning · Computer Science 2022-04-07 Mansur Arief , Zhepeng Cen , Zhenyuan Liu , Zhiyuang Huang , Henry Lam , Bo Li , Ding Zhao

Bayesian optimization has become a fundamental global optimization algorithm in many problems where sample efficiency is of paramount importance. Recently, there has been proposed a large number of new applications in fields such as…

Artificial Intelligence · Computer Science 2019-02-06 Ruben Martinez-Cantin

We present a novel method for testing the safety of self-driving vehicles in simulation. We propose an alternative to sensor simulation, as sensor simulation is expensive and has large domain gaps. Instead, we directly simulate the outputs…

Computer Vision and Pattern Recognition · Computer Science 2020-08-14 Kelvin Wong , Qiang Zhang , Ming Liang , Bin Yang , Renjie Liao , Abbas Sadat , Raquel Urtasun

Interaction between the background vehicles (BVs) and automated vehicles (AVs) in scenario-based testing plays a critical role in evaluating the intelligence of the AVs. Current testing scenarios typically employ predefined or scripted BVs,…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Yining Ma , Wei Jiang , Lingtong Zhang , Junyi Chen , Hong Wang , Chen Lv , Xuesong Wang , Lu Xiong

A method is developed to numerically solve chance constrained optimal control problems. The chance constraints are reformulated as nonlinear constraints that retain the probability properties of the original constraint. The reformulation…

Optimization and Control · Mathematics 2020-05-29 Rachel E. Keil , Alexander T. Miller , Mrinal Kumar , Anil V. Rao

Bayesian nonparametric models, such as Gaussian processes, provide a compelling framework for automatic statistical modelling: these models have a high degree of flexibility, and automatically calibrated complexity. However, automating…

Machine Learning · Computer Science 2015-12-04 Andrew Gordon Wilson , Christoph Dann , Christopher G. Lucas , Eric P. Xing

Testing and evaluation is an important step before the large-scale application of the autonomous driving systems (ADSs). Based on the three level of scenario abstraction theory, a testing can be performed within a logical scenario, followed…

Artificial Intelligence · Computer Science 2025-10-24 Xinzheng Wu , Junyi Chen , Jianfeng Wu , Longgao Zhang , Tian Xia , Yong Shen