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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

Deep Gaussian processes (DGPs) can model complex marginal densities as well as complex mappings. Non-Gaussian marginals are essential for modelling real-world data, and can be generated from the DGP by incorporating uncorrelated variables…

机器学习 · 统计学 2019-05-15 Hugh Salimbeni , Vincent Dutordoir , James Hensman , Marc Peter Deisenroth

Deep Learning Gaussian Processes (DL-GP) are proposed as a methodology for analyzing (approximating) computer models that produce heteroskedastic and high-dimensional output. Computer simulation models have many areas of applications,…

应用统计 · 统计学 2022-09-07 Laura Schultz , Vadim Sokolov

Gaussian Processes (GPs) are a powerful tool for probabilistic modeling, but their performance is often constrained in complex, large-scale real-world domains due to the limited expressivity of classical kernels. Quantum computing offers…

多智能体系统 · 计算机科学 2026-05-13 Meet Gandhi , George P. Kontoudis

This paper explores a federated learning approach that automatically selects the number of latent processes in multi-output Gaussian processes (MGPs). The MGP has seen great success as a transfer learning tool when data is generated from…

机器学习 · 统计学 2024-07-25 Jingyi Gao , Seokhyun Chung

Deep Gaussian Processes (DGPs) combine the expressiveness of Deep Neural Networks (DNNs) with quantified uncertainty of Gaussian Processes (GPs). Expressive power and intractable inference both result from the non-Gaussian distribution over…

机器学习 · 计算机科学 2020-02-26 Chi-Ken Lu , Scott Cheng-Hsin Yang , Xiaoran Hao , Patrick Shafto

Transformed Gaussian Processes (TGPs) are stochastic processes specified by transforming samples from the joint distribution from a prior process (typically a GP) using an invertible transformation; increasing the flexibility of the base…

机器学习 · 计算机科学 2023-11-03 Francisco Javier Sáez-Maldonado , Juan Maroñas , Daniel Hernández-Lobato

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

Propagating input uncertainty through non-linear Gaussian process (GP) mappings is intractable. This hinders the task of training GPs using uncertain and partially observed inputs. In this paper we refer to this task as "semi-described…

机器学习 · 统计学 2015-09-04 Andreas Damianou , Neil D. Lawrence

Although Gaussian processes (GPs) with deep kernels have been successfully used for meta-learning in regression tasks, its uncertainty estimation performance can be poor. We propose a meta-learning method for calibrating deep kernel GPs for…

机器学习 · 统计学 2023-12-14 Tomoharu Iwata , Atsutoshi Kumagai

Gaussian processes (GPs) are a good choice for function approximation as they are flexible, robust to over-fitting, and provide well-calibrated predictive uncertainty. Deep Gaussian processes (DGPs) are multi-layer generalisations of GPs,…

机器学习 · 统计学 2017-11-15 Hugh Salimbeni , Marc Deisenroth

This paper is concerned with a state-space approach to deep Gaussian process (DGP) regression. We construct the DGP by hierarchically putting transformed Gaussian process (GP) priors on the length scales and magnitudes of the next level of…

机器学习 · 统计学 2021-09-24 Zheng Zhao , Muhammad Emzir , Simo Särkkä

Deep Gaussian Processes (DGPs) compose GP layers to warp inputs, enabling improved emulation of computer models with nonstationary input-output behavior compared with ordinary GPs. In contrast to GPs, the predictive uncertainty for DGP…

统计计算 · 统计学 2026-05-12 Yiming Yang , Deyu Ming , Serge Guillas

Gaussian processes (GPs) are ubiquitously used in sciences and engineering as metamodels. Standard GPs, however, can only handle numerical or quantitative variables. In this paper, we introduce latent map Gaussian processes (LMGPs) that…

机器学习 · 统计学 2021-10-13 Nicholas Oune , Ramin Bostanabad

Despite the effectiveness of multitask deep neural network (MTDNN), there is a limited theoretical understanding on how the information is shared across different tasks in MTDNN. In this work, we establish a formal connection between MTDNN…

机器学习 · 计算机科学 2019-12-13 Karthikeyan K , Shubham Kumar Bharti , Piyush Rai

We introduce Latent Gaussian Process Regression which is a latent variable extension allowing modelling of non-stationary multi-modal processes using GPs. The approach is built on extending the input space of a regression problem with a…

机器学习 · 统计学 2017-09-19 Erik Bodin , Neill D. F. Campbell , Carl Henrik Ek

Deep Gaussian processes (DGPs) provide a Bayesian non-parametric alternative to standard parametric deep learning models. A DGP is formed by stacking multiple GPs resulting in a well-regularized composition of functions. The Bayesian…

机器学习 · 统计学 2018-06-06 Vinayak Kumar , Vaibhav Singh , P. K. Srijith , Andreas Damianou

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…

机器学习 · 统计学 2013-10-28 Roman Garnett , Michael A. Osborne , Philipp Hennig

Multi-task Gaussian process (MTGP) is a well-known non-parametric Bayesian model for learning correlated tasks effectively by transferring knowledge across tasks. But current MTGPs are usually limited to the multi-task scenario defined in…

机器学习 · 统计学 2024-10-28 Haitao Liu , Kai Wu , Yew-Soon Ong , Chao Bian , Xiaomo Jiang , Xiaofang Wang

Aggregated data is commonplace in areas such as epidemiology and demography. For example, census data for a population is usually given as averages defined over time periods or spatial resolutions (cities, regions or countries). In this…

机器学习 · 统计学 2020-02-20 Fariba Yousefi , Michael Thomas Smith , Mauricio A. Álvarez