30 Years of space–time covariance functions

E Porcu, R Furrer, D Nychka - Wiley Interdisciplinary Reviews …, 2021 - Wiley Online Library
In this article, we provide a comprehensive review of space–time covariance functions. As
for the spatial domain, we focus on either the d‐dimensional Euclidean space or on the unit …

The SPDE approach for Gaussian and non-Gaussian fields: 10 years and still running

F Lindgren, D Bolin, H Rue - Spatial Statistics, 2022 - Elsevier
Gaussian processes and random fields have a long history, covering multiple approaches to
representing spatial and spatio-temporal dependence structures, such as covariance …

[图书][B] Random fields for spatial data modeling

DT Hristopulos - 2020 - Springer
The series aims to: present current and emerging innovations in GIScience; describe new
and robust GIScience methods for use in transdisciplinary problem solving and decision …

[PDF][PDF] Density estimation in besov spaces zyxwvutsrqponmlkjihgfedcbazyxwvut

G Kerkyacharian, D Picard - Statistics & probability letters, 1992 - academia.edu
One can slightly modify the usual L, differentiability constraints of Sobolev types on densities
with the help of Besov norms. This has the advantage, using the wavelets characterization of …

[HTML][HTML] Isotropic covariance functions on spheres: Some properties and modeling considerations

J Guinness, M Fuentes - Journal of Multivariate Analysis, 2016 - Elsevier
Introducing flexible covariance functions is critical for interpolating spatial data since the
properties of interpolated surfaces depend on the covariance function used for Kriging. An …

Modeling temporally evolving and spatially globally dependent data

E Porcu, A Alegria, R Furrer - International Statistical Review, 2018 - Wiley Online Library
The last decades have seen an unprecedented increase in the availability of data sets that
are inherently global and temporally evolving, from remotely sensed networks to climate …

Artificial generation of representative single Li-ion electrode particle architectures from microscopy data

O Furat, L Petrich, DP Finegan, D Diercks… - npj Computational …, 2021 - nature.com
Accurately capturing the architecture of single lithium-ion electrode particles is necessary for
understanding their performance limitations and degradation mechanisms through multi …

Stationary kernels and gaussian processes on lie groups and their homogeneous spaces i: the compact case

I Azangulov, A Smolensky, A Terenin… - arXiv preprint arXiv …, 2022 - arxiv.org
Gaussian processes are arguably the most important model class in spatial statistics. They
encode prior information about the modeled function and can be used for exact or …

Generation of virtual lithium-ion battery electrode microstructures based on spatial stochastic modeling

D Westhoff, I Manke, V Schmidt - Computational Materials Science, 2018 - Elsevier
It is well known that the microstructure of the active material in lithium-ion battery electrodes
has a strong influence on the battery's performance. In order to improve functional properties …

[HTML][HTML] Spherical process models for global spatial statistics

J Jeong, M Jun, MG Genton - Statistical science: a review journal of …, 2017 - ncbi.nlm.nih.gov
Statistical models used in geophysical, environmental, and climate science applications
must reflect the curvature of the spatial domain in global data. Over the past few decades …