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Many control tasks can be formulated as a tracking problem of a known or unknown reference signal. Examples are movement compensation in collaborative robotics, the synchronisation of oscillations for power systems or reference tracking of…

Optimization and Control · Mathematics 2019-11-26 Janine Matschek , Andreas Himmel , Kai Sundmacher , Rolf Findeisen

Deep neural network controllers for autonomous driving have recently benefited from significant performance improvements, and have begun deployment in the real world. Prior to their widespread adoption, safety guarantees are needed on the…

Machine Learning · Computer Science 2019-09-24 Rhiannon Michelmore , Matthew Wicker , Luca Laurenti , Luca Cardelli , Yarin Gal , Marta Kwiatkowska

Machine learning models can be improved by adapting them to respect existing background knowledge. In this paper we consider multitask Gaussian processes, with background knowledge in the form of constraints that require a specific sum of…

Machine Learning · Statistics 2023-02-02 Philipp Pilar , Carl Jidling , Thomas B. Schön , Niklas Wahlström

This paper focuses on the problem of determining as large a region as possible where a function exceeds a given threshold with high probability. We assume that we only have access to a noise-corrupted version of the function and that…

Machine Learning · Statistics 2018-11-27 Andrea Zanette , Junzi Zhang , Mykel J. Kochenderfer

Motion planning at urban intersections that accounts for the situation context, handles occlusions, and deals with measurement and prediction uncertainty is a major challenge on the way to urban automated driving. In this work, we address…

Robotics · Computer Science 2021-10-22 Johannes Müller , Jan Strohbeck , Martin Herrmann , Michael Buchholz

Evaluating safety performance in a resource-efficient way is crucial for the development of autonomous systems. Simulation of parameterized scenarios is a popular testing strategy but parameter sweeps can be prohibitively expensive. To…

Applying model predictive control on embedded systems remains challenging due to the high computational cost of solving optimal control problems. To address this limitation, computationally efficient Gaussian process approximations of the…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Alexander Rose , Lukas Theiner , Rolf Findeisen

Safety validation of autonomous driving systems is extremely challenging due to the high risks and costs of real-world testing as well as the rarity and diversity of potential failures. To address these challenges, we train a denoising…

Robotics · Computer Science 2025-06-11 Juanran Wang , Marc R. Schlichting , Harrison Delecki , Mykel J. Kochenderfer

In this study, we propose a novel approach to enrich the training data for automated driving by using a self-designed driving simulator and two human drivers to generate safety-critical corner cases in a short period of time, as already…

Computer Vision and Pattern Recognition · Computer Science 2023-05-30 Kamil Kowol , Stefan Bracke , Hanno Gottschalk

Current technologies are unable to produce massively deployable, fully autonomous vehicles that do not require human intervention. Such technological limitations are projected to persist for decades. Therefore, roadway scenarios requiring a…

Applications · Statistics 2021-07-02 David Ríos Insua , William N. Caballero , Roi Naveiro

Gaussian processes (GPs) provide a powerful framework for extrapolation, interpolation, and noise removal in regression and classification. This paper considers constraining GPs to arbitrarily-shaped domains with boundary conditions. We…

Machine Learning · Statistics 2019-04-11 Arno Solin , Manon Kok

In this paper a method is proposed for performance evaluation of road traffic control systems. The method is designed to be implemented in an on-line simulation environment, which enables optimisation of adaptive traffic control strategies.…

Artificial Intelligence · Computer Science 2011-12-20 Bartłomiej Płaczek

Considering personalized driving preferences, a new decision-making framework is developed using a differential game approach to resolve the driving conflicts of autonomous vehicles (AVs) at unsignalized intersections. To realize human-like…

Systems and Control · Electrical Eng. & Systems 2022-05-10 Peng Hang , Chao Huang , Zhongxu Hu , Chen Lv

As Gaussian processes are used to answer increasingly complex questions, analytic solutions become scarcer and scarcer. Monte Carlo methods act as a convenient bridge for connecting intractable mathematical expressions with actionable…

In recent years, control under urban intersection scenarios becomes an emerging research topic. In such scenarios, the autonomous vehicle confronts complicated situations since it must deal with the interaction with social vehicles timely…

Artificial Intelligence · Computer Science 2021-09-23 Yuqi Liu , Qichao Zhang , Dongbin Zhao

Safety-critical technical systems operating in unknown environments require the ability to quickly adapt their behavior, which can be achieved in control by inferring a model online from the data stream generated during operation. Gaussian…

Systems and Control · Electrical Eng. & Systems 2022-02-24 Armin Lederer , Mingmin Zhang , Samuel Tesfazgi , Sandra Hirche

Autonomous driving has made significant progress in both academia and industry, including performance improvements in perception task and the development of end-to-end autonomous driving systems. However, the safety and robustness…

Robotics · Computer Science 2025-04-08 Jingzheng Li , Xianglong Liu , Shikui Wei , Zhijun Chen , Bing Li , Qing Guo , Xianqi Yang , Yanjun Pu , Jiakai Wang

Automated driving functions increasingly rely on machine learning for tasks like perception and trajectory planning, requiring large, relevant datasets. The performance of these algorithms depends on how closely the training data matches…

Robotics · Computer Science 2025-10-02 Michiel Braat , Maren Buermann , Marijke van Weperen , Jan-Pieter Paardekooper

The advance towards higher levels of automation within the field of automated driving is accompanied by increasing requirements for the operational safety of vehicles. Induced by the limitation of computational resources, trade-offs between…

Robotics · Computer Science 2023-02-15 Matti Henning , Jan Strohbeck , Michael Buchholz , Klaus Dietmayer

We present an approach for satisfying state constraints in systems with nonparametric uncertainty by estimating this uncertainty with a real-time-update Gaussian process (GP) model. Notably, new data is incorporated into the model in real…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Ricardo Gutierrez , Jesse B. Hoagg