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Related papers: Bayesian Latent Variable Co-kriging Model in Remot…

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Big datasets are gathered daily from different remote sensing platforms. Recently, statistical co-kriging models, with the help of scalable techniques, have been able to combine such datasets by using spatially varying bias corrections. The…

Computation · Statistics 2023-11-15 Si Cheng , Bledar A. Konomi , Georgos Karagiannis , Emily L. Kang

Recent advancements in remote sensing technology and the increasing size of satellite constellations allows massive geophysical information to be gathered daily on a global scale by numerous platforms of different fidelity. The…

Computation · Statistics 2021-05-11 Si Cheng , Bledar A. Konomi , Jessica L. Matthews , Georgios Karagiannis , Emily L. Kang

Motivated by the maneuvering target tracking with sensors such as radar and sonar, this paper considers the joint and recursive estimation of the dynamic state and the time-varying process noise covariance in nonlinear state space models.…

Systems and Control · Electrical Eng. & Systems 2023-05-09 Hua Lan , Jinjie Hu , Zengfu Wang , Qiang Cheng

We propose a multi-fidelity Bayesian emulator for the analysis of the Weather Research and Forecasting (WRF) model when the available simulations are not generated based on hierarchically nested experimental design. The proposed procedure,…

Methodology · Statistics 2019-10-18 Bledar A. Konomi , Georgios Karagiannis

This paper deals with the Gaussian process based approximation of a code which can be run at different levels of accuracy. This method, which is a particular case of co-kriging, allows us to improve a surrogate model of a complex computer…

Statistics Theory · Mathematics 2012-09-25 Loic Le Gratiet

Spatial concurrent linear models, in which the model coefficients are spatial processes varying at a local level, are flexible and useful tools for analyzing spatial data. One approach places stationary Gaussian process priors on the…

Applications · Statistics 2012-02-03 Zuofeng Shang , Murray K. Clayton

We propose a Bayesian model for mixed ordinal and continuous multivariate data to evaluate a latent spatial Gaussian process. Our proposed model can be used in many contexts where mixed continuous and discrete multivariate responses are…

Methodology · Statistics 2013-05-22 Erin M. Schliep , Jennifer A. Hoeting

Due to the significant air pollution problem, monitoring and prediction for air quality have become increasingly necessary. To provide real-time fine-grained air quality monitoring and prediction in urban areas, we have established our own…

Signal Processing · Electrical Eng. & Systems 2018-11-07 Zixuan Bai , Zhiwen Hu , Kaigui Bian , Lingyang Song

A variational inference-based framework for training a multi-output Gaussian process latent variable model, specifically tailored to the tails-up spatio-temporal stream network, is developed. Training, given a censored observational data…

Methodology · Statistics 2026-05-21 Marno Basson , Tobias M. Louw , Theresa R. Smith

This work develops a multivariate extension of the Fixed Rank Kriging (FRK) framework for spatial prediction in settings where multiple spatial processes may provide complementary information. The goal is to preserve the computational…

Methodology · Statistics 2026-03-24 Gaia Caringi , Piercesare Secchi

Many geosciences data are imprecise due to various limitations and uncertainties in the measuring process. One way to preserve this imprecision in a geostatistical mapping framework is to characterize the measurements as intervals rather…

Methodology · Statistics 2019-11-22 Brennan Bean , Yan Sun , Marc Maguire

Modeling incompatible spatial data, i.e., data with different spatial resolutions, is a pervasive challenge in remote sensing data analysis. Typical approaches to addressing this challenge aggregate information to a common coarse…

Methodology · Statistics 2024-08-19 Lu Zhang , Andrew O. Finley , Arne Nothdurft , Sudipto Banerjee

A new discrete-time shot noise Cox process for spatiotemporal data is proposed. The random intensity is driven by a dependent sequence of latent gamma random measures. Some properties of the latent process are derived, such as an…

Methodology · Statistics 2023-08-17 Federico Bassetti , Roberto Casarin , Matteo Iacopini

Kriging is an established methodology for predicting spatial data in geostatistics. Current kriging techniques can handle linear dependencies on spatially referenced covariates. Although splines have shown promise in capturing nonlinear…

Methodology · Statistics 2025-09-16 Bryan Sumalinab , Oswaldo Gressani , Niel Hens , Christel Faes

Satellite remote sensing of trace gases such as carbon dioxide (CO$_2$) has increased our ability to observe and understand Earth's climate. However, these remote sensing data, specifically~Level 2 retrievals, tend to be irregular in space…

Applications · Statistics 2018-02-08 Andrew Zammit-Mangion , Noel Cressie , Clint Shumack

In this paper we address a classification problem where two sources of labels with different levels of fidelity are available. Our approach is to combine data from both sources by applying a co-kriging schema on latent functions, which…

Machine Learning · Computer Science 2019-10-22 Nikita Klyuchnikov , Evgeny Burnaev

In this paper, we address the estimation of a time-varying spatial field of received signal strength (RSS) by relying on measurements from randomly placed and not very accurate sensors. We employ a radio propagation model where the path…

Signal Processing · Electrical Eng. & Systems 2019-03-27 Irene Santos , Juan José Murillo-Fuentes , Petar M. Djurić

Circular data arise in many areas of application. Recently, there has been interest in looking at circular data collected separately over time and over space. Here, we extend some of this work to the spatio-temporal setting, introducing…

Methodology · Statistics 2017-04-18 Gianluca Mastrantonio , Giovanna Jona Lasinio , Alan E. Gelfand

We put forward a new Bayesian modeling strategy for spatiotemporal count data that enables efficient posterior sampling. Most previous models for such data decompose logarithms of the response Poisson rates into fixed effects and spatial…

Methodology · Statistics 2025-07-29 Yifan Cheng , Cheng Li

Detecting early warning signals in climatic time series is essential for anticipating critical transitions and tipping points. Common statistical indicators include increased variance and lag-one autocorrelation prior to bifurcation points.…

Methodology · Statistics 2026-02-11 Sigrunn H. Sørbye , Eirik Myrvoll-Nilsen , Håvard Rue
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