Bayesian nonstationary and nonparametric covariance estimation for large spatial data (with discussion)

B Kidd, M Katzfuss - Bayesian Analysis, 2022 - projecteuclid.org
In spatial statistics, it is often assumed that the spatial field of interest is stationary and its
covariance has a simple parametric form, but these assumptions are not appropriate in …

Efficient Large-scale Nonstationary Spatial Covariance Function Estimation Using Convolutional Neural Networks

P Nag, Y Hong, S Abdulah, GA Qadir… - … of Computational and …, 2024 - Taylor & Francis
Spatial processes observed in various fields, such as climate and environmental science,
often occur at large-scale and demonstrate spatial nonstationarity. However, fitting a …

Modeling and Predicting Spatio-temporal Dynamics of PM Concentrations Through Time-evolving Covariance Models

GA Qadir, Y Sun - arXiv preprint arXiv:2202.12121, 2022 - arxiv.org
Fine particulate matter (PM $ _ {2.5} $) has become a great concern worldwide due to its
adverse health effects. PM $ _ {2.5} $ concentrations typically exhibit complex spatio …

Assessing Spatial Stationarity and Segmenting Spatial Processes into Stationary Components

SL Tzeng, BY Chen, HC Huang - Journal of Agricultural, Biological and …, 2024 - Springer
In this research, we propose a novel technique for visualizing nonstationarity in geostatistics,
particularly when confronted with a single realization of data at irregularly spaced locations …

Directed Graphs and Applications

BJ Kidd - 2022 - oaktrust.library.tamu.edu
Directed graphs have widespread applicability, so there is continued need for both
computational and theoretical improvements. We extend the standard methodology in three …

Flexible Covariance Models for Spatio-Temporal and Multivariate Spatial Random Fields

GA Qadir - 2021 - repository.kaust.edu.sa
The modeling of spatio-temporal and multivariate spatial random fields has been an
important and growing area of research due to the increasing availability of spacetime …