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To scale Gaussian processes (GPs) to large data sets we introduce the robust Bayesian Committee Machine (rBCM), a practical and scalable product-of-experts model for large-scale distributed GP regression. Unlike state-of-the-art sparse GP…

机器学习 · 统计学 2015-05-25 Marc Peter Deisenroth , Jun Wei Ng

Multi-output Gaussian Processes provide principled uncertainty-aware learning of vector-valued fields but are difficult to deploy in large-scale, distributed, and streaming settings due to their computational and centralized nature. This…

机器学习 · 计算机科学 2026-04-14 Yogesh Prasanna Kumar Rao , Tamas Keviczky , Raj Thilak Rajan

Gaussian processes (GPs) are non-linear probabilistic models popular in many applications. However, na\"ive GP realizations require quadratic memory to store the covariance matrix and cubic computation to perform inference or evaluate the…

统计计算 · 统计学 2021-05-03 Amanda Muyskens , Benjamin Priest , Imène Goumiri , Michael Schneider

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

This paper presents a simple and efficient method to convolve an image with a Gaussian kernel. The computation is performed in a constant number of operations per pixel using running sums along the image rows and columns. We investigate the…

计算机视觉与模式识别 · 计算机科学 2011-07-26 Elhanan Elboher , Michael Werman

Deep Gaussian processes (DGP) have appealing Bayesian properties, can handle variable-sized data, and learn deep features. Their limitation is that they do not scale well with the size of the data. Existing approaches address this using a…

机器学习 · 计算机科学 2019-05-20 Issam H. Laradji , Mark Schmidt , Vladimir Pavlovic , Minyoung Kim

Remote sensing scene classification has experienced a paradigmatic transformation from traditional handcrafted feature methods to sophisticated artificial intelligence systems that now form the backbone of modern Earth observation…

计算机视觉与模式识别 · 计算机科学 2026-03-31 Qionghao Huang , Can Hu

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

This paper presents a new supervised classification algorithm for remotely sensed hyperspectral image (HSI) which integrates spectral and spatial information in a unified Bayesian framework. First, we formulate the HSI classification…

计算机视觉与模式识别 · 计算机科学 2018-03-14 Xiangyong Cao , Feng Zhou , Lin Xu , Deyu Meng , Zongben Xu , John Paisley

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 present a practical way of introducing convolutional structure into Gaussian processes, making them more suited to high-dimensional inputs like images. The main contribution of our work is the construction of an inter-domain inducing…

机器学习 · 统计学 2017-09-07 Mark van der Wilk , Carl Edward Rasmussen , James Hensman

This paper proposes a new algorithm for Gaussian process classification based on posterior linearisation (PL). In PL, a Gaussian approximation to the posterior density is obtained iteratively using the best possible linearisation of the…

机器学习 · 计算机科学 2019-04-19 Ángel F. García-Fernández , Filip Tronarp , Simo Särkkä

Large-scale Gaussian process models are becoming increasingly important and widely used in many areas, such as, computer experiments, stochastic optimization via simulation, and machine learning using Gaussian processes. The standard…

统计方法学 · 统计学 2018-08-02 Yongxiang Li , Qiang Zhou , Kwok Leung Tsui , Javier Cabrera

Gaussian Process Regression (GPR) is a popular regression method, which unlike most Machine Learning techniques, provides estimates of uncertainty for its predictions. These uncertainty estimates however, are based on the assumption that…

机器学习 · 计算机科学 2024-08-29 Harris Papadopoulos

Scene classification is a key problem in the interpretation of high-resolution remote sensing imagery. Many state-of-the-art methods, e.g. bag-of-visual-words model and its variants, the topic models as well as deep learning-based…

计算机视觉与模式识别 · 计算机科学 2015-08-03 Jingwen Hu , Gui-Song Xia , Fan Hu , Liangpei Zhang

In order to scale standard Gaussian process (GP) regression to large-scale datasets, aggregation models employ factorized training process and then combine predictions from distributed experts. The state-of-the-art aggregation models,…

机器学习 · 统计学 2018-06-05 Haitao Liu , Jianfei Cai , Yi Wang , Yew-Soon Ong

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

Scalable Gaussian Process methods are computationally attractive, yet introduce modeling biases that require rigorous study. This paper analyzes two common techniques: early truncated conjugate gradients (CG) and random Fourier features…

机器学习 · 计算机科学 2021-06-30 Andres Potapczynski , Luhuan Wu , Dan Biderman , Geoff Pleiss , John P. Cunningham

Computational models providing accurate estimates of their uncertainty are crucial for risk management associated with decision making in healthcare contexts. This is especially true since many state-of-the-art systems are trained using the…

机器学习 · 计算机科学 2022-06-09 Hongshu Liu , Nabeel Seedat , Julia Ive

To improve the classification performance in the context of hyperspectral image processing, many works have been developed based on two common strategies, namely the spatial-spectral information integration and the utilization of neural…

计算机视觉与模式识别 · 计算机科学 2020-06-24 Yi Liang , Xin Zhao , Alan J. X. Guo , Fei Zhu
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