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In this letter, we present a novel Gaussian Process Learning-based Probabilistic Optimal Power Flow (GP-POPF) for solving POPF under renewable and load uncertainties of arbitrary distribution. The proposed method relies on a non-parametric…

系统与控制 · 电气工程与系统科学 2020-04-17 Parikshit Pareek , Hung D. Nguyen

The ability of Gaussian processes (GPs) to predict the behavior of dynamical systems as a more sample-efficient alternative to parametric models seems promising for real-world robotics research. However, the computational complexity of GPs…

机器人学 · 计算机科学 2022-03-01 Abdolreza Taheri , Joni Pajarinen , Reza Ghabcheloo

Gaussian Process Regression (GPR) is a powerful and elegant method for learning complex functions from noisy data with a wide range of applications, including in safety-critical domains. Such applications have two key features: (i) they…

机器学习 · 计算机科学 2024-12-23 Robert Reed , Luca Laurenti , Morteza Lahijanian

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…

系统与控制 · 电气工程与系统科学 2022-02-24 Armin Lederer , Mingmin Zhang , Samuel Tesfazgi , Sandra Hirche

Kernel-based machine learning approaches are gaining increasing interest for exploring and modeling large dataset in recent years. Gaussian process (GP) is one example of such kernel-based approaches, which can provide very good performance…

机器学习 · 计算机科学 2019-07-09 Yuxin Zhao , Feng Yin , Fredrik Gunnarsson , Fredrik Hultkrantz

We study the Gaussian Process regression model in the context of training data with noise in both input and output. The presence of two sources of noise makes the task of learning accurate predictive models extremely challenging. However,…

机器学习 · 统计学 2015-07-03 Cuong Tran , Vladimir Pavlovic , Robert Kopp

Autonomous racing is increasingly becoming a proving ground for autonomous vehicle technology at the limits of its current capabilities. The most prominent examples include the F1Tenth racing series, Formula Student Driverless (FSD),…

机器人学 · 计算机科学 2023-06-07 Jingyun Ning , Madhur Behl

Learning of low dimensional structure in multidimensional data is a canonical problem in machine learning. One common approach is to suppose that the observed data are close to a lower-dimensional smooth manifold. There are a rich variety…

机器学习 · 统计学 2015-06-12 Ye Wang , David B. Dunson

Planning is a powerful approach to control problems with known environment dynamics. In unknown environments the agent needs to learn a model of the system dynamics to make planning applicable. This is particularly challenging when the…

机器学习 · 计算机科学 2020-05-11 Nathanael Bosch , Jan Achterhold , Laura Leal-Taixé , Jörg Stückler

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…

机器人学 · 计算机科学 2023-03-02 Edward L. Zhu , Finn Lukas Busch , Jake Johnson , Francesco Borrelli

Data availability has dramatically increased in recent years, driving model-based control methods to exploit learning techniques for improving the system description, and thus control performance. Two key factors that hinder the practical…

系统与控制 · 电气工程与系统科学 2022-11-22 Elena Arcari , Andrea Carron , Melanie N. Zeilinger

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…

系统与控制 · 电气工程与系统科学 2026-05-14 Alexander Rose , Lukas Theiner , Rolf Findeisen

Gaussian process (GP) modulated Cox processes are widely used to model point patterns. Existing approaches require a mapping (link function) between the unconstrained GP and the positive intensity function. This commonly yields solutions…

机器学习 · 统计学 2019-03-01 Andrés F. López-Lopera , ST John , Nicolas Durrande

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…

系统与控制 · 电气工程与系统科学 2025-05-13 Ricardo Gutierrez , Jesse B. Hoagg

Trial-and-error based reinforcement learning (RL) has seen rapid advancements in recent times, especially with the advent of deep neural networks. However, the majority of autonomous RL algorithms require a large number of interactions with…

系统与控制 · 计算机科学 2018-02-23 Sanket Kamthe , Marc Peter Deisenroth

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…

系统与控制 · 计算机科学 2018-12-19 Lukas Hewing , Alexander Liniger , Melanie N. Zeilinger

Inferring unknown constraints is a challenging and crucial problem in many robotics applications. When only expert demonstrations are available, it becomes essential to infer the unknown domain constraints to deploy additional agents…

机器人学 · 计算机科学 2023-12-06 Dimitris Papadimitriou , Jingqi Li

This paper proposes a safe data-driven control framework for nonlinear systems with partially known dynamics. The method ensures stability and constraint satisfaction during online learning, assuming only a stabilizable linear approximation…

系统与控制 · 电气工程与系统科学 2026-05-12 Stefano Tonini , Soroush Rastegarpour , Hamid Reza Feyzmahdavian , Nicola Bastianello , Karl Henrik Johansson

We introduce a simple and scalable method for training Gaussian process (GP) models that exploits cross-validation and nearest neighbor truncation. To accommodate binary and multi-class classification we leverage P\`olya-Gamma auxiliary…

机器学习 · 统计学 2022-03-10 Martin Jankowiak , Geoff Pleiss

This article addresses the output regulation problem for a class of nonlinear systems using a data-driven approach. An output feedback controller is proposed that integrates a traditional control component with a data-driven learning…

系统与控制 · 电气工程与系统科学 2025-06-12 Telema Harry , Martin Guay , Shimin Wang , Richard D. Braatz