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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…

机器学习 · 统计学 2021-12-20 Manuel Schürch , Dario Azzimonti , Alessio Benavoli , Marco Zaffalon

Nonlinear model predictive control (NMPC) is one of the few control methods that can handle multivariable nonlinear controlsystems with constraints. Gaussian processes (GPs) present a powerful tool to identify the required plant model and…

最优化与控制 · 数学 2020-05-26 E. Bradford , L. Imsland , D. Zhang , E. A. del Rio-Chanona

We propose DistGP: a multi-robot learning method for collaborative learning of a global function using only local experience and computation. We utilise a sparse Gaussian process (GP) model with a factorisation that mirrors the multi-robot…

机器人学 · 计算机科学 2026-03-10 Seth Nabarro , Mark van der Wilk , Andrew J. Davison

Geostatistics is a branch of statistics concerned with stochastic processes over continuous domains, with Gaussian processes (GPs) providing a flexible and principled modelling framework. However, the high computational cost of simulating…

统计计算 · 统计学 2026-03-20 Flávio B. Gonçalves , Marcos O. Prates , Gareth O. Roberts

Many inferential tasks involve fitting models to observed data and predicting outcomes at new covariate values, requiring interpolation or extrapolation. Conventional methods select a single best-fitting model, discarding fits that were…

统计方法学 · 统计学 2026-01-01 Soonhong Cho , Doeun Kim , Chad Hazlett

Parameter retrieval and model inversion are key problems in remote sensing and Earth observation. Currently, different approximations exist: a direct, yet costly, inversion of radiative transfer models (RTMs); the statistical inversion with…

信号处理 · 电气工程与系统科学 2021-04-22 Daniel Heestermans Svendsen , Pablo Morales-Alvarez , Ana Belen Ruescas , Rafael Molina , Gustau Camps-Valls

Gaussian processes (GPs) are ubiquitous tools for modeling and predicting continuous processes in physical and engineering sciences. This is partly due to the fact that one may employ a Gaussian process as an interpolator while facilitating…

统计理论 · 数学 2025-12-16 D. Andrew Brown , Peter Kiessler , John Nicholson

We propose a simple method that combines neural networks and Gaussian processes. The proposed method can estimate the uncertainty of outputs and flexibly adjust target functions where training data exist, which are advantages of Gaussian…

机器学习 · 统计学 2017-07-20 Tomoharu Iwata , Zoubin Ghahramani

A network of independently trained Gaussian processes (StackedGP) is introduced to obtain predictions of quantities of interest with quantified uncertainties. The main applications of the StackedGP framework are to integrate different…

机器学习 · 计算机科学 2017-06-20 Kareem Abdelfatah , Junshu Bao , Gabriel Terejanu

Missing values are common in many real-life datasets. However, most of the current machine learning methods can not handle missing values. This means that they should be imputed beforehand. Gaussian Processes (GPs) are non-parametric models…

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…

机器学习 · 统计学 2026-05-12 Yuanxing Cheng , Lulu Kang , Yiwei Wang , Chun Liu

Multi-output Gaussian processes (MOGPs) leverage the flexibility and interpretability of GPs while capturing structure across outputs, which is desirable, for example, in spatio-temporal modelling. The key problem with MOGPs is their…

The Gaussian process (GP) is a Bayesian nonparametric paradigm that is widely adopted for uncertainty quantification (UQ) in a number of safety-critical applications, including robotics, healthcare, as well as surveillance. The consistency…

机器学习 · 计算机科学 2024-10-10 Jinwen Xu , Qin Lu , Georgios B. Giannakis

This paper presents a decentralized Gaussian Process (GP) learning, fusion, and planning (RESIN) formalism for mobile sensor networks to actively learn target motion models. RESIN is characterized by both computational and communication…

系统与控制 · 电气工程与系统科学 2020-09-15 Chang Liu , Zhihao Liao , Silvia Ferrari

This paper presents a real-time capable algorithm for the learning of Gaussian Processes (GP) for submodels. It extends an existing recursive Gaussian Process (RGP) algorithm which requires a measurable output. In many applications,…

系统与控制 · 电气工程与系统科学 2025-11-24 Ricus Husmann , Sven Weishaupt , Harald Aschemann

We present a Gaussian Process - Latent Class Choice Model (GP-LCCM) to integrate a non-parametric class of probabilistic machine learning within discrete choice models (DCMs). Gaussian Processes (GPs) are kernel-based algorithms that…

计量经济学 · 经济学 2023-08-02 Georges Sfeir , Filipe Rodrigues , Maya Abou-Zeid

Mean field games (MFGs) describe the collective behavior of large populations of interacting agents. In this work, we tackle ill-posed inverse problems in potential MFGs, aiming to recover the agents' population, momentum, and environmental…

机器学习 · 计算机科学 2025-02-18 Jingguo Zhang , Xianjin Yang , Chenchen Mou , Chao Zhou

Consensus control in multi-agent systems has received significant attention and practical implementation across various domains. However, managing consensus control under unknown dynamics remains a significant challenge for control design…

系统与控制 · 电气工程与系统科学 2024-02-06 Xiaobing Dai , Zewen Yang , Mengtian Xu , Fangzhou Liu , Georges Hattab , Sandra Hirche

In this paper, we present a robust and adaptive model predictive control (MPC) framework for uncertain nonlinear systems affected by bounded disturbances and unmodeled nonlinearities. We use Gaussian Processes (GPs) to learn the uncertain…

系统与控制 · 电气工程与系统科学 2026-04-14 Mathieu Dubied , Amon Lahr , Melanie N. Zeilinger , Johannes Köhler

In this paper, a distributed learning leader-follower consensus protocol based on Gaussian process regression for a class of nonlinear multi-agent systems with unknown dynamics is designed. We propose a distributed learning approach to…

系统与控制 · 电气工程与系统科学 2021-03-31 Zewen Yang , Stefan Sosnowski , Qingchen Liu , Junjie Jiao , Armin Lederer , Sandra Hirche