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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

Gaussian processes are one of the dominant approaches in Bayesian learning. Although the approach has been applied to numerous problems with great success, it has a few fundamental limitations. Multiple methods in literature have addressed…

机器学习 · 计算机科学 2021-06-24 Kalvik Jakkala

In decision-making systems, it is important to have classifiers that have calibrated uncertainties, with an optimisation objective that can be used for automated model selection and training. Gaussian processes (GPs) provide uncertainty…

机器学习 · 统计学 2020-03-05 Vincent Dutordoir , Mark van der Wilk , Artem Artemev , James Hensman

The composition of multiple Gaussian Processes as a Deep Gaussian Process (DGP) enables a deep probabilistic nonparametric approach to flexibly tackle complex machine learning problems with sound quantification of uncertainty. Existing…

机器学习 · 统计学 2017-03-02 Kurt Cutajar , Edwin V. Bonilla , Pietro Michiardi , Maurizio Filippone

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

Gaussian processes (GP) are powerful tools for probabilistic modeling purposes. They can be used to define prior distributions over latent functions in hierarchical Bayesian models. The prior over functions is defined implicitly by the mean…

Gaussian process (GP) is a Bayesian model which provides several advantages for regression tasks in machine learning such as reliable quantitation of uncertainty and improved interpretability. Their adoption has been precluded by their…

机器学习 · 计算机科学 2023-06-26 Jonathan Parkinson , Wei Wang

Gaussian Processes (GPs) are flexible, nonparametric Bayesian models widely used for regression and classification because of their ability to capture complex data patterns and quantify predictive uncertainty. However, the O(n^3)…

机器学习 · 计算机科学 2026-01-14 Hua Huang , Tianshi Xu , Yuanzhe Xi , Edmond Chow

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

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

The growing popularity of generative flow networks (GFlowNets or GFNs) from a range of researchers with diverse backgrounds and areas of expertise necessitates a library that facilitates the testing of new features (e.g., training losses…

机器学习 · 计算机科学 2026-03-23 Joseph D. Viviano , Omar G. Younis , Sanghyeok Choi , Victor Schmidt , Yoshua Bengio , Salem Lahlou

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

In this work, we use Deep Gaussian Processes (DGPs) as statistical surrogates for stochastic processes with complex distributions. Conventional inferential methods for DGP models can suffer from high computational complexity as they require…

机器学习 · 统计学 2023-05-02 Liang Ding , Rui Tuo , Shahin Shahrampour

Deep feedforward neural networks (DFNNs) are a powerful tool for functional approximation. We describe flexible versions of generalized linear and generalized linear mixed models incorporating basis functions formed by a DFNN. The…

统计计算 · 统计学 2018-05-28 Minh-Ngoc Tran , Nghia Nguyen , David Nott , Robert Kohn

Gaussian Processes (GPs), as a nonparametric learning method, offer flexible modeling capabilities and calibrated uncertainty quantification for function approximations. Additionally, GPs support online learning by efficiently incorporating…

机器学习 · 计算机科学 2025-11-18 Zewen Yang , Dongfa Zhang , Xiaobing Dai , Fengyi Yu , Chi Zhang , Bingkun Huang , Hamid Sadeghian , Sami Haddadin

Gaussian Processes (GPs) are powerful non-parametric Bayesian regression models that allow exact posterior inference, but exhibit high computational and memory costs. In order to improve scalability of GPs, approximate posterior inference…

机器学习 · 计算机科学 2020-04-28 Martin Trapp , Robert Peharz , Franz Pernkopf , Carl E. Rasmussen

Machine learning is now widely applied across various domains, including industry, engineering, and research. While numerous mature machine learning models have been open-sourced on platforms like GitHub, their deployment often requires…

机器学习 · 计算机科学 2024-12-19 Xiaobing Dai , Zewen Yang

Deep Gaussian processes (DGPs) are increasingly popular as predictive models in machine learning (ML) for their non-stationary flexibility and ability to cope with abrupt regime changes in training data. Here we explore DGPs as surrogates…

统计方法学 · 统计学 2021-08-27 Annie Sauer , Robert B. Gramacy , David Higdon

Recent advances in Deep Gaussian Processes (DGPs) show the potential to have more expressive representation than that of traditional Gaussian Processes (GPs). However, there exists a pathology of deep Gaussian processes that their learning…

机器学习 · 计算机科学 2020-12-22 Anh Tong , Jaesik Choi

We present the GPry algorithm for fast Bayesian inference of general (non-Gaussian) posteriors with a moderate number of parameters. GPry does not need any pre-training, special hardware such as GPUs, and is intended as a drop-in…

宇宙学与河外天体物理 · 物理学 2025-03-25 Jonas El Gammal , Nils Schöneberg , Jesús Torrado , Christian Fidler