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Scientific and engineering problems often require the use of artificial intelligence to aid understanding and the search for promising designs. While Gaussian processes (GP) stand out as easy-to-use and interpretable learners, they have…

Machine Learning · Computer Science 2021-07-01 Liwei Wang , Suraj Yerramilli , Akshay Iyer , Daniel Apley , Ping Zhu , Wei Chen

The Gaussian process state-space model (GPSSM) has attracted extensive attention for modeling complex nonlinear dynamical systems. However, the existing GPSSM employs separate Gaussian processes (GPs) for each latent state dimension,…

Machine Learning · Computer Science 2023-09-06 Zhidi Lin , Juan Maroñas , Ying Li , Feng Yin , Sergios Theodoridis

Effective cooperation is pivotal in distributed learning for multi-agent systems, where the interplay between the quantity and quality of the machine learning models is crucial. This paper reveals the irrationality of indiscriminate…

Machine Learning · Computer Science 2026-01-22 Zewen Yang , Xiaobing Dai , Jiajun Cheng , Yulong Huang , Peng Shi

We propose an active learning method for discovering low-dimensional structure in high-dimensional Gaussian process (GP) tasks. Such problems are increasingly frequent and important, but have hitherto presented severe practical…

Machine Learning · Statistics 2013-10-28 Roman Garnett , Michael A. Osborne , Philipp Hennig

Gaussian processes (GPs) provide a framework for Bayesian inference that can offer principled uncertainty estimates for a large range of problems. For example, if we consider regression problems with Gaussian likelihoods, a GP model enjoys…

Machine Learning · Computer Science 2022-12-21 Felix Leibfried , Vincent Dutordoir , ST John , Nicolas Durrande

The thesis focuses on developing a data-driven algorithm, based on machine learning, to solve the stochastic alternating current (AC) chance-constrained (CC) Optimal Power Flow (OPF) problem. Although the AC CC-OPF problem has been…

Machine Learning · Computer Science 2024-02-20 Mile Mitrovic

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

We develop an automated variational method for inference in models with Gaussian process (GP) priors and general likelihoods. The method supports multiple outputs and multiple latent functions and does not require detailed knowledge of the…

Machine Learning · Statistics 2018-11-06 Edwin V. Bonilla , Karl Krauth , Amir Dezfouli

The fusion of experimental automation and machine learning has catalyzed a new era in materials research, prominently featuring Gaussian Process Bayesian Optimization (GPBO) driven autonomous experiments navigating complex experimental…

Materials Science · Physics 2024-05-28 Sumner B. Harris , Rama Vasudevan , Yongtao Liu

The control of a single agent in complex and uncertain multi-agent environments requires careful consideration of the interactions between the agents. In this context, this paper proposes a dual model predictive control (MPC) method using…

Optimization and Control · Mathematics 2025-09-03 T. M. J. T. Baltussen , A. Katriniok , E. Lefeber , R. Tóth , W. P. M. H. Heemels

The increasing integration of renewable energy sources (RESs) and distributed energy resources (DERs) has significantly heightened operational complexity and uncertainty in modern power systems. Concurrently, the widespread deployment of…

Systems and Control · Electrical Eng. & Systems 2025-05-26 Bendong Tan , Tong Su , Yu Weng , Ketian Ye , Parikshit Pareek , Petr Vorobev , Hung Nguyen , Junbo Zhao , Deepjyoti Deka

The modeling and simulation of dynamical systems is a necessary step for many control approaches. Using classical, parameter-based techniques for modeling of modern systems, e.g., soft robotics or human-robot interaction, is often…

Systems and Control · Electrical Eng. & Systems 2021-12-01 Thomas Beckers , Sandra Hirche

Dynamic behavior of traffic adversely affect the performance of the prediction models in intelligent transportation applications. This study applies Gaussian processes (GPs) to traffic speed prediction. Such predictions can be used by…

Applications · Statistics 2020-11-25 Gurcan Comert

We propose a physics-based method to learn environmental fields (EFs) using a mobile robot. Common purely data-driven methods require prohibitively many measurements to accurately learn such complex EFs. Alternatively, physics-based models…

Robotics · Computer Science 2021-01-15 Reza Khodayi-mehr , Michael M. Zavlanos

Many functions have approximately-known upper and/or lower bounds, potentially aiding the modeling of such functions. In this paper, we introduce Gaussian process models for functions where such bounds are (approximately) known. More…

Machine Learning · Computer Science 2022-10-20 Vu Nguyen , Marc Peter Deisenroth , Michael A. Osborne

In this paper, we propose decentralized and scalable algorithms for Gaussian process (GP) training and prediction in multi-agent systems. To decentralize the implementation of GP training optimization algorithms, we employ the alternating…

Machine Learning · Statistics 2022-03-08 George P. Kontoudis , Daniel J. Stilwell

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

A generalized Gaussian process model (GGPM) is a unifying framework that encompasses many existing Gaussian process (GP) models, such as GP regression, classification, and counting. In the GGPM framework, the observation likelihood of the…

Machine Learning · Statistics 2013-11-28 Lifeng Shang , Antoni B. Chan

This paper introduces an active learning framework for manifold Gaussian Process (GP) regression, combining manifold learning with strategic data selection to improve accuracy in high-dimensional spaces. Our method jointly optimizes a…

Machine Learning · Statistics 2026-05-12 Yuanxing Cheng , Lulu Kang , Yiwei Wang , Chun Liu

Many machine learning problems can be framed in the context of estimating functions, and often these are time-dependent functions that are estimated in real-time as observations arrive. Gaussian processes (GPs) are an attractive choice for…

Machine Learning · Statistics 2023-05-09 Michael Minyi Zhang , Bianca Dumitrascu , Sinead A. Williamson , Barbara E. Engelhardt