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Standard Gaussian Process (GP) regression, a powerful machine learning tool, is computationally expensive when it is applied to large datasets, and potentially inaccurate when data points are sparsely distributed in a high-dimensional…

Machine Learning · Computer Science 2016-03-08 Z. Zhang , K. Duraisamy , N. A. Gumerov

We propose a method to optimise the parameters of a policy which will be used to safely perform a given task in a data-efficient manner. We train a Gaussian process model to capture the system dynamics, based on the PILCO framework. Our…

Machine Learning · Statistics 2019-12-03 Kyriakos Polymenakos , Alessandro Abate , Stephen Roberts

Unpredictable and complex aerodynamic effects pose significant challenges to achieving precise flight control, such as the downwash effect from upper vehicles to lower ones. Conventional methods often struggle to accurately model these…

Robotics · Computer Science 2024-09-30 Yuan Gao , Yinyi Lai , Jun Wang , Yini Fang

In this paper, we propose an efficient implementation of deep policy gradient method (PGM) for optimal control problems in continuous time. The proposed method has the ability to manage the allocation of computational resources, number of…

Optimization and Control · Mathematics 2025-02-25 Arash Fahim , Md. Arafatur Rahman

Stochastic simulation techniques employed for the analysis of portfolios of insurance/reinsurance risk, often referred to as `Aggregate Risk Analysis', can benefit from exploiting state-of-the-art high-performance computing platforms. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-08-19 A. K. Bahl , O. Baltzer , A. Rau-Chaplin , B. Varghese , A. Whiteway

Established techniques for simulation and prediction with Gaussian process (GP) dynamics often implicitly make use of an independence assumption on successive function evaluations of the dynamics model. This can result in significant error…

Machine Learning · Computer Science 2020-05-05 Lukas Hewing , Elena Arcari , Lukas P. Fröhlich , Melanie N. Zeilinger

Endowed with higher levels of autonomy, robots are required to perform increasingly complex manipulation tasks. Learning from demonstration is arising as a promising paradigm for transferring skills to robots. It allows to implicitly learn…

Robotics · Computer Science 2023-02-24 Miguel Arduengo , Adrià Colomé , Joan Lobo-Prat , Luis Sentis , Carme Torras

In head-to-head racing, an accurate model of interactive behavior of the opposing target vehicle (TV) is required to perform tightly constrained, but highly rewarding maneuvers such as overtaking. However, such information is not typically…

Robotics · Computer Science 2023-03-02 Edward L. Zhu , Finn Lukas Busch , Jake Johnson , Francesco Borrelli

We develop a simulation-based method for the online updating of Gaussian process regression and classification models. Our method exploits sequential Monte Carlo to produce a fast sequential design algorithm for these models relative to the…

Computation · Statistics 2010-07-07 Robert B. Gramacy , Nicholas G. Polson

Recently, there has been rising interest in Bayesian optimization -- the optimization of an unknown function with assumptions usually expressed by a Gaussian Process (GP) prior. We study an optimization strategy that directly uses an…

Machine Learning · Statistics 2018-08-14 Zi Wang , Bolei Zhou , Stefanie Jegelka

Gaussian process (GP) models provide a powerful tool for prediction but are computationally prohibitive using large data sets. In such scenarios, one has to resort to approximate methods. We derive an approximation based on a composite…

Machine Learning · Statistics 2018-02-02 Xiuming Liu , Dave Zachariah , Edith C. H. Ngai

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

We propose a new method for simplification of Gaussian process (GP) models by projecting the information contained in the full encompassing model and selecting a reduced number of variables based on their predictive relevance. Our results…

Methodology · Statistics 2017-12-18 Juho Piironen , Aki Vehtari

Real-time trajectory optimization for nonlinear constrained autonomous systems is critical and typically performed by CPU-based sequential solvers. Specifically, reliance on global sparse linear algebra or the serial nature of dynamic…

Robotics · Computer Science 2026-03-13 Yilin Zou , Zhong Zhang , Maxime Robic , Fanghua Jiang

This paper presents an adaptive high performance control method for autonomous miniature race cars. Racing dynamics are notoriously hard to model from first principles, which is addressed by means of a cautious nonlinear model predictive…

Systems and Control · Computer Science 2018-12-19 Lukas Hewing , Alexander Liniger , Melanie N. Zeilinger

Although machine learning is increasingly applied in control approaches, only few methods guarantee certifiable safety, which is necessary for real world applications. These approaches typically rely on well-understood learning algorithms,…

Machine Learning · Computer Science 2020-06-16 Armin Lederer , Markus Kessler , Sandra Hirche

Gaussian processes (GPs) are a powerful tool for probabilistic inference over functions. They have been applied to both regression and non-linear dimensionality reduction, and offer desirable properties such as uncertainty estimates,…

Machine Learning · Statistics 2014-10-01 Yarin Gal , Mark van der Wilk , Carl E. Rasmussen

Simulating a single trajectory of a dynamical system under some state-dependent policy is a core bottleneck in policy optimization (PO) algorithms. The many inherently serial policy evaluations that must be performed in a single simulation…

Artificial Intelligence · Computer Science 2025-02-18 Vivek Farias , Joren Gijsbrechts , Aryan Khojandi , Tianyi Peng , Andrew Zheng

Gaussian Processes have become an indispensable part of the spatial statistician's toolbox but are unsuitable for analyzing large dataset because of the significant time and memory needed to fit the associated model exactly. Vecchia…

Computation · Statistics 2025-07-18 Zachary James , Joseph Guinness

Gaussian processes (GPs) have gained popularity as flexible machine learning models for regression and function approximation with an in-built method for uncertainty quantification. However, GPs suffer when the amount of training data is…

Machine Learning · Statistics 2025-11-26 Jonas Latz , Aretha L. Teckentrup , Simon Urbainczyk