Positive semidefinite kernels that are axially symmetric on the sphere and stationary in time: spectral and semi-spectral theory, and constructive approaches
Positive semidefinite kernels on spheres cross time are on demand in spatial statistics,
machine learning and numerical analysis, motivated by applications in the climate …
machine learning and numerical analysis, motivated by applications in the climate …
Strict Positive Definiteness of Convolutional and Axially Symmetric Kernels on d-Dimensional Spheres
M Buhmann, J Jäger - Journal of Fourier Analysis and Applications, 2022 - Springer
The paper introduces new sufficient conditions of strict positive definiteness for kernels on d-
dimensional spheres which are not radially symmetric but possess specific coefficient …
dimensional spheres which are not radially symmetric but possess specific coefficient …
Locally Anisotropic Nonstationary Covariance Functions on the Sphere
J Cao, J Zhang, Z Sun, M Katzfuss - Journal of Agricultural, Biological and …, 2024 - Springer
Rapid developments in satellite remote-sensing technology have enabled the collection of
geospatial data on a global scale, hence increasing the need for covariance functions that …
geospatial data on a global scale, hence increasing the need for covariance functions that …
Strictly positive definite kernels on the 2-sphere: from radial symmetry to eigenvalue block structure
M Buhmann, J Jäger - IMA Journal of Numerical Analysis, 2022 - academic.oup.com
The paper introduces a new characterization of strict positive definiteness for kernels on the
2-sphere without assuming the kernel to be radially (isotropic) or axially symmetric. The …
2-sphere without assuming the kernel to be radially (isotropic) or axially symmetric. The …
Karhunen–Loève expansions for axially symmetric Gaussian processes: modeling strategies and approximations
A Alegría, F Cuevas-Pacheco - Stochastic Environmental Research and …, 2020 - Springer
Axially symmetric processes on spheres, for which the second-order dependency structure
may substantially vary with shifts in latitude, are a prominent alternative to model the spatial …
may substantially vary with shifts in latitude, are a prominent alternative to model the spatial …
Strictly positive definite kernels on the -sphere: beyond radial symmetry
J Jäger - arXiv preprint arXiv:2005.02798, 2020 - arxiv.org
The paper introduces a new characterisation of strictly positive definiteness for kernels on
the 2-sphere without assuming the kernel to be radially (isotropic) or axially symmetric. The …
the 2-sphere without assuming the kernel to be radially (isotropic) or axially symmetric. The …