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Gaussian process (GP) bandits provide a powerful framework for performing blackbox optimization of unknown functions. The characteristics of the unknown function depend heavily on the assumed GP prior. Most work in the literature assume…

Machine Learning · Computer Science 2026-03-13 Jack Sandberg , Morteza Haghir Chehreghani

Hamilton-Jacobi reachability methods for safety-critical control have been well studied, but the safety guarantees derived rely on the accuracy of the numerical computation. Thus, it is crucial to understand and account for any inaccuracies…

Systems and Control · Electrical Eng. & Systems 2022-12-15 Nikolaus Vertovec , Sina Ober-Blöbaum , Kostas Margellos

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

A high fidelity fluid-structure interaction simulation may require many days to run, on hundreds of cores. This poses a serious burden, both in terms of time and economic considerations, when repetitions of such simulations may be required…

Computational Engineering, Finance, and Science · Computer Science 2021-04-12 Wensi Wu , Christophe Bonneville , Christopher J. Earls

In this paper, we consider the Gaussian process (GP) bandit optimization problem in a non-stationary environment. To capture external changes, the black-box function is allowed to be time-varying within a reproducing kernel Hilbert space…

Machine Learning · Computer Science 2022-03-29 Yuntian Deng , Xingyu Zhou , Baekjin Kim , Ambuj Tewari , Abhishek Gupta , Ness Shroff

Estimating percentiles of black-box deterministic functions with random inputs is a challenging task when the number of function evaluations is severely restricted, which is typical for computer experiments. This article proposes two new…

Statistics Theory · Mathematics 2016-05-23 T Labopin-Richard , V Picheny

The prediction quality of machine learnt models and the functionality they ultimately enable (e.g., object detection), is typically evaluated using a variety of quantitative metrics that are specified in the associated model performance…

Software Engineering · Computer Science 2025-07-29 Ganesh Pai

In this paper, we consider the problem of verifying pre-opacity for discrete-time control systems. Pre-opacity is an important information-flow security property that secures the intention of a system to execute some secret behaviors in the…

Systems and Control · Electrical Eng. & Systems 2022-11-09 Junyao Hou , Siyuan Liu , Xiang Yin , Majid Zamani

Gaussian processes (GP) are a widely-adopted tool used to sequentially optimize black-box functions, where evaluations are costly and potentially noisy. Recent works on GP bandits have proposed to move beyond random noise and devise…

Machine Learning · Statistics 2022-06-17 Eric Han , Jonathan Scarlett

We present a new type of acquisition functions for online decision making in multi-armed and contextual bandit problems with extreme payoffs. Specifically, we model the payoff function as a Gaussian process and formulate a novel type of…

Machine Learning · Computer Science 2022-10-12 Yibo Yang , Antoine Blanchard , Themistoklis Sapsis , Paris Perdikaris

Automated Driving Systems (ADS), including Advanced Driver Assistance Systems (ADAS), must fulfill not only high functional expectations but also stringent timing constraints mandated by international regulations and standards. Regulatory…

Software Engineering · Computer Science 2026-05-05 Sebastian Dingler , Philip Rehkop , Florian Mayer , Ralf Muenzenberger

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

Bayesian optimization has emerged as a highly effective tool for the safe online optimization of systems, due to its high sample efficiency and noise robustness. To further enhance its efficiency, reduced physical models of the system can…

Machine Learning · Computer Science 2024-06-18 Jannis O. Lübsen , Christian Hespe , Annika Eichler

In this paper, the problem of maximizing a black-box function $f:\mathcal{X} \to \mathbb{R}$ is studied in the Bayesian framework with a Gaussian Process (GP) prior. In particular, a new algorithm for this problem is proposed, and high…

Machine Learning · Statistics 2018-01-09 Shubhanshu Shekhar , Tara Javidi

An important task of uncertainty quantification is to identify {the probability of} undesired events, in particular, system failures, caused by various sources of uncertainties. In this work we consider the construction of Gaussian…

Computation · Statistics 2016-04-20 Hongqiao Wang , Guang Lin , Jinglai Li

The performances of braking control systems for robotic platforms, e.g., assisted and autonomous vehicles, airplanes and drones, are deeply influenced by the road-tire friction experienced during the maneuver. Therefore, the availability of…

Robotics · Computer Science 2022-11-07 F. Crocetti , G. Costante , M. L. Fravolini , P. Valigi

Safety filtering is an effective method for enforcing constraints in safety-critical systems, but existing methods typically assume perfect state information. This limitation is especially problematic for systems that rely on neural network…

Systems and Control · Electrical Eng. & Systems 2026-02-06 Nicholas Rober , Alex Rose , Jonathan P. How

This paper presents an efficient method for estimating the probability of conflict between air traffic within a block of airspace. Autonomous Sense-and-Avoid is an essential safety feature to enable Unmanned Air Systems to operate alongside…

Systems and Control · Computer Science 2016-04-26 Chinmaya Mishra , Simon Maskell , Siu-Kui Au , Jason F. Ralph

Safe Bayesian optimization (BO) with Gaussian processes is an effective tool for tuning control policies in safety-critical real-world systems, specifically due to its sample efficiency and safety guarantees. However, most safe BO…

Optimization and Control · Mathematics 2025-12-15 Abdullah Tokmak , Thomas B. Schön , Dominik Baumann

Motion forecasting is crucial in enabling autonomous vehicles to anticipate the future trajectories of surrounding agents. To do so, it requires solving mapping, detection, tracking, and then forecasting problems, in a multi-step pipeline.…