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相关论文: Conditioning Gaussian Processes on Almost Anything

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We construct flexible likelihoods for multi-output Gaussian process models that leverage neural networks as components. We make use of sparse variational inference methods to enable scalable approximate inference for the resulting class of…

机器学习 · 统计学 2019-06-03 Martin Jankowiak , Jacob Gardner

Estimating causal effects in quasi-experiments with spatio-temporal panel data often requires adjusting for unmeasured confounding that varies across space and time. Gaussian Processes (GPs) offer a flexible, nonparametric modeling approach…

统计方法学 · 统计学 2025-07-08 Sofia L. Vega , Rachel C. Nethery

Gaussian processes (GPs) are a mature and widely-used component of the ML toolbox. One of their desirable qualities is automatic hyperparameter selection, which allows for training without user intervention. However, in many realistic…

机器学习 · 计算机科学 2024-02-16 Sebastian W. Ober , Artem Artemev , Marcel Wagenländer , Rudolfs Grobins , Mark van der Wilk

Multivariate Gaussian distributions enjoy Gaussian conditional distributions that makes conditioning easy: conditioning boils down to implementing analytical formulae for conditional means and covariances. For more general distributions,…

统计方法学 · 统计学 2026-03-26 Antoine Faul , David Ginsbourger , Ben Spycher

Gaussian processes (GPs) provide a probabilistic nonparametric representation of functions in regression, classification, and other problems. Unfortunately, exact learning with GPs is intractable for large datasets. A variety of approximate…

机器学习 · 计算机科学 2012-03-19 Yuan , Qi , Ahmed H. Abdel-Gawad , Thomas P. Minka

Gaussian processes (GPs) enable principled computation of model uncertainty, making them attractive for safety-critical applications. Such scenarios demand that GP decisions are not only accurate, but also robust to perturbations. In this…

机器学习 · 计算机科学 2021-04-08 Andrea Patane , Arno Blaas , Luca Laurenti , Luca Cardelli , Stephen Roberts , Marta Kwiatkowska

Gaussian processes are a flexible Bayesian nonparametric modelling approach that has been widely applied but poses computational challenges. To address the poor scaling of exact inference methods, approximation methods based on sparse…

机器学习 · 统计学 2021-06-01 Rui Meng , Herbert Lee , Soper Braden , Priyadip Ray

Gaussian Processes (\textbf{GPs}) are flexible non-parametric models with strong probabilistic interpretation. While being a standard choice for performing inference on time series, GPs have few techniques to work in a streaming setting.…

机器学习 · 统计学 2021-07-22 Théo Galy-Fajou , Manfred Opper

Deep Gaussian Processes learn probabilistic data representations for supervised learning by cascading multiple Gaussian Processes. While this model family promises flexible predictive distributions, exact inference is not tractable.…

机器学习 · 统计学 2020-10-23 Jakob Lindinger , David Reeb , Christoph Lippert , Barbara Rakitsch

Gaussian process (GP) predictors are an important component of many Bayesian approaches to machine learning. However, even a straightforward implementation of Gaussian process regression (GPR) requires O(n^2) space and O(n^3) time for a…

机器学习 · 统计学 2012-11-06 Krzysztof Chalupka , Christopher K. I. Williams , Iain Murray

The standard Gaussian Process (GP) only considers a single output sample per input in the training set. Datasets for subjective tasks, such as spoken language assessment, may be annotated with output labels from multiple human raters per…

计算与语言 · 计算机科学 2024-01-29 Jeremy H. M. Wong , Huayun Zhang , Nancy F. Chen

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

Established techniques for simulation and prediction with Gaussian process (GP) dynamics often implicitly make use of an independence assumption on successive function evaluations of the dynamics model. This can result in significant error…

机器学习 · 计算机科学 2020-05-05 Lukas Hewing , Elena Arcari , Lukas P. Fröhlich , Melanie N. Zeilinger

We propose a new method for simplification of Gaussian process (GP) models by projecting the information contained in the full encompassing model and selecting a reduced number of variables based on their predictive relevance. Our results…

统计方法学 · 统计学 2017-12-18 Juho Piironen , Aki Vehtari

A multi-output Gaussian process (GP) is introduced as a model for the joint posterior distribution of the local predictive ability of set of models and/or experts, conditional on a vector of covariates, from historical predictions in the…

统计方法学 · 统计学 2024-10-08 Oscar Oelrich , Mattias Villani

Automatic forecasting is the task of receiving a time series and returning a forecast for the next time steps without any human intervention. Gaussian Processes (GPs) are a powerful tool for modeling time series, but so far there are no…

机器学习 · 统计学 2023-04-27 Giorgio Corani , Alessio Benavoli , Marco Zaffalon

Gaussian processes (GPs) are non-parametric probabilistic regression models that are popular due to their flexibility, data efficiency, and well-calibrated uncertainty estimates. However, standard GP models assume homoskedastic Gaussian…

机器学习 · 计算机科学 2025-01-08 Sebastian Ament , Elizabeth Santorella , David Eriksson , Ben Letham , Maximilian Balandat , Eytan Bakshy

We introduce a novel algorithm for controlling linear time invariant systems in a tracking problem. The controller is based on a Gaussian Process (GP) whose realizations satisfy a system of linear ordinary differential equations with…

最优化与控制 · 数学 2025-08-01 Jörn Tebbe , Andreas Besginow , Markus Lange-Hegermann

Gaussian Processes (GPs) has experienced tremendous success in geoscience in general and for bio-geophysical parameter retrieval in the last years. GPs constitute a solid Bayesian framework to formulate many function approximation problems…