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This paper presents a computationally efficient approach for Gaussian process model predictive control (GP-MPC), where Gaussian process (GP) regression is used to complement a baseline model of the system dynamics. The proposed method…

Optimization and Control · Mathematics 2026-05-12 Giannis Badakis , Mircea Lazar , Roland Toth

The Gaussian process (GP) is a popular statistical technique for stochastic function approximation and uncertainty quantification from data. GPs have been adopted into the realm of machine learning in the last two decades because of their…

Machine Learning · Statistics 2024-10-02 Marcus M. Noack , Hengrui Luo , Mark D. Risser

Graph condensation reduces the size of large graphs while preserving performance, addressing the scalability challenges of Graph Neural Networks caused by computational inefficiencies on large datasets. Existing methods often rely on…

Machine Learning · Computer Science 2025-10-10 Lin Wang , Qing Li

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

Modeling stochastic traffic behaviors at the microscopic level, such as car-following and lane-changing, is a crucial task to understand the interactions between individual vehicles in traffic streams. Leveraging a recently developed theory…

Machine Learning · Statistics 2020-07-21 Yun Yuan , Qinzheng Wang , Xianfeng Terry Yang

Knowledge graphs (KGs), as a structured form of knowledge representation, have been widely applied in the real world. Recently, few-shot knowledge graph completion (FKGC), which aims to predict missing facts for unseen relations with…

Information Retrieval · Computer Science 2023-04-18 Linhao Luo , Yuan-Fang Li , Gholamreza Haffari , Shirui Pan

Recognizing the successes of treed Gaussian process (TGP) models as an interpretable and thrifty model for nonparametric regression, we seek to extend the model to classification. Both treed models and Gaussian processes (GPs) have,…

Methodology · Statistics 2010-09-28 Tamara Broderick , Robert B. Gramacy

Deep Gaussian Processes (DGP) are hierarchical generalizations of Gaussian Processes (GP) that have proven to work effectively on a multiple supervised regression tasks. They combine the well calibrated uncertainty estimates of GPs with the…

Machine Learning · Statistics 2018-01-10 Marton Havasi , José Miguel Hernández-Lobato , Juan José Murillo-Fuentes

Machine learning (ML) techniques have recently gained significant attention for solving compliance minimization (CM) problems. However, these methods typically provide poor feature boundaries, are very expensive, and lack a systematic…

Machine Learning · Computer Science 2025-11-06 Xiangyu Sun , Amin Yousefpour , Shirin Hosseinmardi , Ramin Bostanabad

Obstacle-aware trajectory navigation is crucial for many systems. For example, in real-world navigation tasks, an agent must avoid obstacles, such as furniture in a room, while planning a trajectory. Gaussian Process (GP) regression, in its…

Machine Learning · Computer Science 2024-12-10 Gaurav Shrivastava

Gaussian processes (GPs) are an important tool in machine learning and statistics with applications ranging from social and natural science through engineering. They constitute a powerful kernelized non-parametric method with…

Machine Learning · Statistics 2021-12-20 Manuel Schürch , Dario Azzimonti , Alessio Benavoli , Marco Zaffalon

Gaussian Processes (GPs) are a versatile and popular method in Bayesian Machine Learning. A common modification are Sparse Variational Gaussian Processes (SVGPs) which are well suited to deal with large datasets. While GPs allow to…

Machine Learning · Computer Science 2022-04-25 Sarem Seitz

Gaussian Processes (GPs) are Bayesian models that provide uncertainty estimates associated to the predictions made. They are also very flexible due to their non-parametric nature. Nevertheless, GPs suffer from poor scalability as the number…

Machine Learning · Computer Science 2021-07-16 Bahram Jafrasteh , Carlos Villacampa-Calvo , Daniel Hernández-Lobato

Gaussian Processes (GPs) are a generic modelling tool for supervised learning. While they have been successfully applied on large datasets, their use in safety-critical applications is hindered by the lack of good performance guarantees. To…

Machine Learning · Statistics 2019-08-27 David Reeb , Andreas Doerr , Sebastian Gerwinn , Barbara Rakitsch

Transfer learning has aroused great interest in the statistical community. In this article, we focus on knowledge transfer for unsupervised learning tasks in contrast to the supervised learning tasks in the literature. Given the…

Machine Learning · Statistics 2024-03-13 Zeyu Li , Kangxiang Qin , Yong He , Wang Zhou , Xinsheng Zhang

Scalable Gaussian process (GP) inference is essential for sequential decision-making tasks, yet improving GP scalability remains a challenging problem with many open avenues of research. This paper focuses on iterative GPs, where iterative…

Machine Learning · Computer Science 2025-11-21 Alan Yufei Dong , Jihao Andreas Lin , José Miguel Hernández-Lobato

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…

Machine Learning · Computer Science 2025-10-08 Jinwen Xu , Qin Lu , Georgios B. Giannakis

Deep Gaussian processes (DGPs), a hierarchical composition of GP models, have successfully boosted the expressive power of their single-layer counterpart. However, it is impossible to perform exact inference in DGPs, which has motivated the…

Machine Learning · Computer Science 2021-05-27 Haibin Yu , Dapeng Liu , Yizhou Chen , Bryan Kian Hsiang Low , Patrick Jaillet

Foundational modelling of multi-dimensional time-series data in industrial systems presents a central trade-off: channel-dependent (CD) models capture specific cross-variable dynamics but lack robustness and adaptability as model layers are…

Machine Learning · Computer Science 2025-09-23 Michael Mayr , Georgios C. Chasparis

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…

Systems and Control · Electrical Eng. & Systems 2025-10-14 Muzaffar Qureshi , Tochukwu Elijah Ogri , Zachary I. Bell , Wanjiku A. Makumi , Rushikesh Kamalapurkar
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