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Gaussian Processes (GPs) are widely employed in control and learning because of their principled treatment of uncertainty. However, tracking uncertainty for iterative, multi-step predictions in general leads to an analytically intractable…

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…

机器学习 · 计算机科学 2016-03-08 Z. Zhang , K. Duraisamy , N. A. Gumerov

Diverse domains of science and engineering use parameterised mechanistic models. Engineers and scientists can often hypothesise several rival models to explain a specific process or phenomenon. Consider a model discrimination setting where…

Gaussian processes (GPs) provide flexible distributions over functions, with inductive biases controlled by a kernel. However, in many applications Gaussian processes can struggle with even moderate input dimensionality. Learning a low…

机器学习 · 计算机科学 2020-01-01 Ian A. Delbridge , David S. Bindel , Andrew Gordon Wilson

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…

系统与控制 · 电气工程与系统科学 2022-12-02 Hassan Almubarak , Manan Gandhi , Yuichiro Aoyama , Nader Sadegh , Evangelos A. Theodorou

Ranging from cart-pole systems and autonomous bicycles to bipedal robots, control of these underactuated balance robots aims to achieve both external (actuated) subsystem trajectory tracking and internal (unactuated) subsystem balancing…

机器人学 · 计算机科学 2020-10-30 Kuo Chen , Jingang Yi , Dezhen Song

This paper presents an off-policy Gaussian Predictive Control (GPC) framework aimed at solving optimal control problems with a smaller computational footprint, thereby facilitating real-time applicability while ensuring critical safety…

机器人学 · 计算机科学 2026-03-19 Shiva Kumar Tekumatla , Varun Gampa , Siavash Farzan

Gaussian processes (GPs) are widely used in nonparametric regression, classification and spatio-temporal modeling, motivated in part by a rich literature on theoretical properties. However, a well known drawback of GPs that limits their use…

统计方法学 · 统计学 2011-06-29 Anjishnu Banerjee , David Dunson , Surya Tokdar

Gaussian Processes (GPs) are powerful non-parametric Bayesian regression models that allow exact posterior inference, but exhibit high computational and memory costs. In order to improve scalability of GPs, approximate posterior inference…

机器学习 · 计算机科学 2020-04-28 Martin Trapp , Robert Peharz , Franz Pernkopf , Carl E. Rasmussen

Due to the increasing complexity of technical systems, accurate first principle models can often not be obtained. Supervised machine learning can mitigate this issue by inferring models from measurement data. Gaussian process regression is…

系统与控制 · 电气工程与系统科学 2023-07-11 Armin Lederer , Jonas Umlauft , Sandra Hirche

Some scenarios require the computation of a predictive distribution of a new value evaluated on an objective function conditioned on previous observations. We are interested on using a model that makes valid assumptions on the objective…

机器学习 · 计算机科学 2021-01-21 Lucia Asencio-Martín , Eduardo C. Garrido-Merchán

Uncertainty quantification (UQ) over graphs arises in a number of safety-critical applications in network science. The Gaussian process (GP), as a classical Bayesian framework for UQ, has been developed to handle graph-structured data by…

机器学习 · 计算机科学 2025-10-08 Jinwen Xu , Qin Lu , Georgios B. Giannakis

Gaussian Process (GP) models provide a flexible framework for prediction and uncertainty quantification. For most covariance functions, however, exact GP prediction with $n$ points scales as $\mathcal{O}(n^3)$, making it prohibitively…

统计计算 · 统计学 2026-05-29 Samanyu Arora , Christopher J. Geoga

Gaussian Processes (GPs) are widely recognized as powerful non-parametric models for regression and classification. Traditional GP frameworks predominantly operate under the assumption that the inputs are either accurately known or subject…

系统与控制 · 电气工程与系统科学 2025-10-14 Muzaffar Qureshi , Tochukwu Elijah Ogri , Zachary I. Bell , Wanjiku A. Makumi , Rushikesh Kamalapurkar

Both experimental and computational methods for the exploration of structure, functionality, and properties of materials often necessitate the search across broad parameter spaces to discover optimal experimental conditions and regions of…

计算物理 · 物理学 2021-08-31 Maxim Ziatdinov , Ayana Ghosh , Sergei V. Kalinin

Gaussian processes (GPs) are a Bayesian machine learning approach widely used to construct surrogate models for the uncertainty quantification of computer simulation codes in industrial applications. It provides both a mean predictor and an…

Model predictive control allows to provide high performance and safety guarantees in the form of constraint satisfaction. These properties, however, can be satisfied only if the underlying model, used for prediction, of the controlled…

系统与控制 · 电气工程与系统科学 2021-02-25 Michael Maiworm , Daniel Limon , Rolf Findeisen

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

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…

系统与控制 · 计算机科学 2017-07-17 Gang Cao , Edmund M-K Lai , Fakhrul Alam

Repetitive motion tasks are common in robotics, but performance can degrade over time due to environmental changes and robot wear and tear. Iterative learning control (ILC) improves performance by using information from previous iterations…

机器人学 · 计算机科学 2026-02-23 Unnati Nigam , Radhendushka Srivastava , Faezeh Marzbanrad , Michael Burke