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Decentralized Gaussian process (GP) methods offer a scalable framework for multi-agent scalar-field estimation by replacing a centralized global model with multiple local models maintained by individual agents. A team of agents operates…

系统与控制 · 电气工程与系统科学 2026-04-09 Hossein Papi , Muzaffar Qureshi , Kyle Volle , Rushikesh Kamalapurkar

Gaussian processes (GPs) are instrumental in modeling spatial processes, offering precise interpolation and prediction capabilities across fields such as environmental science and biology. Recently, there has been growing interest in…

统计方法学 · 统计学 2025-09-04 Jiawen Chen , Aritra Halder , Yun Li , Sudipto Banerjee , Didong Li

The use of Gaussian processes (GPs) is a common approach to account for correlated noise in exoplanet time series, particularly for transmission and emission spectroscopy. This analysis has typically been performed for each wavelength…

地球与行星天体物理 · 物理学 2024-06-05 Mark Fortune , Neale P. Gibson , Daniel Foreman-Mackey , Thomas M. Evans-Soma , Cathal Maguire , Swaetha Ramkumar

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 2010-02-23 Yuan Qi , Ahmed H. Abdel-Gawad , Thomas P. Minka

This paper proposes a simple yet efficient high-altitude wind nowcasting pipeline. It processes efficiently a vast amount of live data recorded by airplanes over the whole airspace and reconstructs the wind field with good accuracy. It…

机器学习 · 计算机科学 2022-02-23 Arnaud Pannatier , Ricardo Picatoste , François Fleuret

The sparse pseudo-input Gaussian process (SPGP) is a new approximation method for speeding up GP regression in the case of a large number of data points N. The approximation is controlled by the gradient optimization of a small set of M…

机器学习 · 计算机科学 2012-07-02 Edward Snelson , Zoubin Ghahramani

Reconstructing open surfaces from multi-view images is vital in digitalizing complex objects in daily life. A widely used strategy is to learn unsigned distance functions (UDFs) by checking if their appearance conforms to the image…

计算机视觉与模式识别 · 计算机科学 2025-03-31 Shujuan Li , Yu-Shen Liu , Zhizhong Han

Earth observation (EO) by airborne and satellite remote sensing and in-situ observations play a fundamental role in monitoring our planet. In the last decade, machine learning and Gaussian processes (GPs) in particular has attained…

机器学习 · 计算机科学 2020-07-03 Gustau Camps-Valls , Dino Sejdinovic , Jakob Runge , Markus Reichstein

The Gaussian function (GF) is widely used to explain the behavior or statistical distribution of many natural phenomena as well as industrial processes in different disciplines of engineering and applied science. For example, the GF can be…

信号处理 · 电气工程与系统科学 2020-01-08 Ibrahim Al-Nahhal , Octavia A. Dobre , Ertugrul Basar , Cecilia Moloney , Salama Ikki

This paper presents a Gaussian process (GP) model for estimating piecewise continuous regression functions. In scientific and engineering applications of regression analysis, the underlying regression functions are piecewise continuous in…

统计方法学 · 统计学 2021-04-15 Chiwoo Park

A Gaussian Process (GP) is a prominent mathematical framework for stochastic function approximation in science and engineering applications. This success is largely attributed to the GP's analytical tractability, robustness, non-parametric…

机器学习 · 统计学 2022-05-19 Marcus M. Noack , Harinarayan Krishnan , Mark D. Risser , Kristofer G. Reyes

The ability to recognize previously mapped locations is an essential feature for autonomous systems. Unstructured planetary-like environments pose a major challenge to these systems due to the similarity of the terrain. As a result, the…

Satellite-based positioning system such as GPS often suffers from large amount of noise that degrades the positioning accuracy dramatically especially in real-time applications. In this work, we consider a data-mining approach to enhance…

机器学习 · 统计学 2019-06-05 Ming Lin , Xiaomin Song , Qi Qian , Hao Li , Liang Sun , Shenghuo Zhu , Rong Jin

Temporal variations of apparent magnitude, called light curves, are observational statistics of interest captured by telescopes over long periods of time. Light curves afford the exploration of Space Domain Awareness (SDA) objectives such…

天体物理仪器与方法 · 物理学 2022-09-01 Imène R. Goumiri , Alec M. Dunton , Amanda L. Muyskens , Benjamin W. Priest , Robert E. Armstrong

In this paper, we revisit batch state estimation through the lens of Gaussian process (GP) regression. We consider continuous-discrete estimation problems wherein a trajectory is viewed as a one-dimensional GP, with time as the independent…

机器人学 · 计算机科学 2014-12-02 Sean Anderson , Timothy D. Barfoot , Chi Hay Tong , Simo Särkkä

We study an informative path-planning problem where the goal is to minimize the time required to learn a spatially varying entity. We use Gaussian Process (GP) regression for learning the underlying field. Our goal is to ensure that the GP…

机器人学 · 计算机科学 2020-03-10 Varun Suryan , Pratap Tokekar

Gaussian processes (GPs) defined through intrinsic random fields provide a flexible framework for modeling spatial phenomena, and have been advocated in a variety of applications over the past several decades. Nevertheless, their adoption…

Gaussian process (GP) priors are non-parametric generative models with appealing modelling properties for Bayesian inference: they can model non-linear relationships through noisy observations, have closed-form expressions for training and…

机器学习 · 统计学 2020-01-31 Gonzalo Rios

This paper introduces deep Gaussian processes (DGPs) for geophysical parameter retrieval. Unlike the standard full GP model, the DGP accounts for complicated (modular, hierarchical) processes, provides an efficient solution that scales well…

Providing accurate uncertainty estimations is essential for producing reliable machine learning models, especially in safety-critical applications such as accelerator systems. Gaussian process models are generally regarded as the gold…