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The Gaussian process (GP) model, which has been extensively applied as priors of functions, has demonstrated excellent performance. The specification of a large number of parameters affects the computational efficiency and the feasibility…

Machine Learning · Statistics 2020-02-13 Shisheng Cui , Chia-Jung Chang

Gaussian Process (GP) regression is shown to be effective for learning unknown dynamics, enabling efficient and safety-aware control strategies across diverse applications. However, existing GP-based model predictive control (GP-MPC)…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Manish Prajapat , Johannes Köhler , Amon Lahr , Andreas Krause , Melanie N. Zeilinger

Over the last years, significant advances have been made in robotic manipulation, but still, the handling of non-rigid objects, such as cloth garments, is an open problem. Physical interaction with non-rigid objects is uncertain and complex…

Robotics · Computer Science 2023-05-16 Fabio Amadio , Juan Antonio Delgado-Guerrero , Adrià Colomé , Carme Torras

Learning uncertain dynamics models using Gaussian process~(GP) regression has been demonstrated to enable high-performance and safety-aware control strategies for challenging real-world applications. Yet, for computational tractability,…

Optimization and Control · Mathematics 2024-09-17 Manish Prajapat , Amon Lahr , Johannes Köhler , Andreas Krause , Melanie N. Zeilinger

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

Gaussian process (GP) regression has been widely used in supervised machine learning due to its flexibility and inherent ability to describe uncertainty in function estimation. In the context of control, it is seeing increasing use for…

Systems and Control · Computer Science 2020-01-01 Lukas Hewing , Juraj Kabzan , Melanie N. Zeilinger

The Model Predictive Control (MPC) trajectory tracking problem of an unmanned quadrotor with input and output constraints is addressed. In this article, the dynamic models of the quadrotor are obtained purely from operational data in the…

Systems and Control · Computer Science 2017-07-17 Gang Cao , Edmund M-K Lai , Fakhrul Alam

Due to its state-of-the-art estimation performance complemented by rigorous and non-conservative uncertainty bounds, Gaussian process regression is a popular tool for enhancing dynamical system models and coping with their inaccuracies.…

Systems and Control · Electrical Eng. & Systems 2025-02-05 Anna Scampicchio , Elena Arcari , Amon Lahr , Melanie N. Zeilinger

Data-driven Model Predictive Control (MPC), where the system model is learned from data with machine learning, has recently gained increasing interests in the control community. Gaussian Processes (GP), as a type of statistical models, are…

Systems and Control · Computer Science 2019-10-03 Truong X. Nghiem

Decades of research in control theory have shown that simple controllers, when provided with timely feedback, can control complex systems. Pushing is an example of a complex mechanical system that is difficult to model accurately due to…

Robotics · Computer Science 2018-10-10 Maria Bauza , Francois R. Hogan , Alberto Rodriguez

This tutorial provides a systematic introduction to Gaussian process learning-based model predictive control (GP-MPC), an advanced approach integrating Gaussian process (GP) with model predictive control (MPC) for enhanced control in…

Robotics · Computer Science 2024-04-08 Jie Wang , Youmin Zhang

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

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

We present the Gaussian process dynamical mixture model (GPDMM) and show its utility in single-example learning of human motion data. The Gaussian process dynamical model (GPDM) is a form of the Gaussian process latent variable model…

Machine Learning · Computer Science 2025-06-18 Jesse St. Amand , Leonardo Gizzi , Martin A. Giese

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

We propose a model predictive control approach for autonomous vehicles that exploits learned Gaussian processes for predicting human driving behavior. The proposed approach employs the uncertainty about the GP's prediction to achieve…

Systems and Control · Electrical Eng. & Systems 2023-03-09 Johanna Bethge , Maik Pfefferkorn , Alexander Rose , Jan Peters , Rolf Findeisen

Model Predictive Control (MPC) of an unknown system that is modelled by Gaussian Process (GP) techniques is studied in this paper. Using GP, the variances computed during the modelling and inference processes allow us to take model…

Systems and Control · Computer Science 2016-12-06 Gang Cao , Edmund M-K Lai , Fakhrul Alam

Predicting the end-of-life or remaining useful life of batteries in electric vehicles is a critical and challenging problem, predominantly approached in recent years using machine learning to predict the evolution of the state-of-health…

Machine Learning · Computer Science 2023-06-05 Wei W. Xing , Ziyang Zhang , Akeel A. Shah

This paper proposes embedded Gaussian Process Barrier States (GP-BaS), a methodology to safely control unmodeled dynamics of nonlinear system using Bayesian learning. Gaussian Processes (GPs) are used to model the dynamics of the…

Systems and Control · Electrical Eng. & Systems 2022-12-02 Hassan Almubarak , Manan Gandhi , Yuichiro Aoyama , Nader Sadegh , Evangelos A. Theodorou

Rich and complex time-series data, such as those generated from engineering systems, financial markets, videos or neural recordings, are now a common feature of modern data analysis. Explaining the phenomena underlying these diverse data…

Machine Learning · Statistics 2016-08-18 Marc Peter Deisenroth , Shakir Mohamed
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