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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…

机器学习 · 统计学 2022-03-08 George P. Kontoudis , Daniel J. Stilwell

Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

机器学习 · 计算机科学 2014-08-12 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet

Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

机器学习 · 统计学 2013-05-27 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet

Distributed Gaussian process (DGP) is a popular approach to scale GP to big data which divides the training data into some subsets, performs local inference for each partition, and aggregates the results to acquire global prediction. To…

机器学习 · 计算机科学 2022-02-08 Hamed Jalali , Gjergji Kasneci

It is desirable to combine the expressive power of deep learning with Gaussian Process (GP) in one expressive Bayesian learning model. Deep kernel learning showed success in adopting a deep network for feature extraction followed by a GP…

机器学习 · 计算机科学 2021-10-26 Chi-Ken Lu , Patrick Shafto

We develop a fast variational approximation scheme for Gaussian process (GP) regression, where the spectrum of the covariance function is subjected to a sparse approximation. Our approach enables uncertainty in covariance function…

统计计算 · 统计学 2019-04-24 Linda S. L. Tan , Victor M. H. Ong , David J. Nott , Ajay Jasra

The growing demand for accurate, efficient, and scalable solutions in computational mechanics highlights the need for advanced operator learning algorithms that can efficiently handle large datasets while providing reliable uncertainty…

机器学习 · 统计学 2024-09-18 Sawan Kumar , Rajdip Nayek , Souvik Chakraborty

In this paper, we focus on the data-driven discovery of a general second-order particle-based model that contains many state-of-the-art models for modeling the aggregation and collective behavior of interacting agents of similar size and…

机器学习 · 统计学 2023-11-03 Jinchao Feng , Charles Kulick , Sui Tang

Deep Gaussian processes (DGPs) are popular surrogate models for complex nonstationary computer experiments. DGPs use one or more latent Gaussian processes (GPs) to warp the input space into a plausibly stationary regime, then use typical GP…

统计方法学 · 统计学 2025-12-23 Annie S. Booth

The incomplete sampling of data in complex polarization measurements from radio telescopes negatively affects both the rotation measure (RM) transfer function and the Faraday depth spectra derived from these data. Such gaps in polarization…

天体物理仪器与方法 · 物理学 2021-02-24 S. W. Ndiritu , A. M. M. Scaife , D. L. Tabb , M. Carcamo , J. Hanson

Learning dynamical models from data is not only fundamental but also holds great promise for advancing principle discovery, time-series prediction, and controller design. Among various approaches, Gaussian Process State-Space Models…

机器学习 · 计算机科学 2025-10-20 Tengjie Zheng , Haipeng Chen , Lin Cheng , Shengping Gong , Xu Huang

We propose two approaches to extend the notion of knowledge distillation to Gaussian Process Regression (GPR) and Gaussian Process Classification (GPC); data-centric and distribution-centric. The data-centric approach resembles most current…

机器学习 · 统计学 2023-04-06 Kenneth Borup , Lars Nørvang Andersen

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…

机器学习 · 计算机科学 2022-12-21 Felix Leibfried , Vincent Dutordoir , ST John , Nicolas Durrande

This paper examines experimental design procedures used to develop surrogates of computational models, exploring the interplay between experimental designs and approximation algorithms. We focus on two widely used approximation approaches,…

数值分析 · 计算机科学 2016-05-02 Alex A. Gorodetsky , Youssef M. Marzouk

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

In this work, a Gaussian process regression(GPR) model incorporated with given physical information in partial differential equations(PDEs) is developed: physics-assisted Gaussian processes(PAGP). The targets of this model can be divided…

机器学习 · 统计学 2022-04-07 Jiahao Zhang , Shiqi Zhang , Guang Lin

Variational inference techniques based on inducing variables provide an elegant framework for scalable posterior estimation in Gaussian process (GP) models. Besides enabling scalability, one of their main advantages over sparse…

机器学习 · 统计学 2021-02-24 Simone Rossi , Markus Heinonen , Edwin V. Bonilla , Zheyang Shen , Maurizio Filippone

Gaussian processes (GP) for machine learning have been studied systematically over the past two decades and they are by now widely used in a number of diverse applications. However, GP kernel design and the associated hyper-parameter…

机器学习 · 计算机科学 2020-10-28 Feng Yin , Lishuo Pan , Xinwei He , Tianshi Chen , Sergios Theodoridis , Zhi-Quan , Luo

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

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…

最优化与控制 · 数学 2026-05-12 Giannis Badakis , Mircea Lazar , Roland Toth