gaussian random fields 1hamiltonian monte carlo 1hierarchical bayesian inversion 1karhunen-loève expansion 1squared exponential kernel 1
From the 1 of 2 linked papers with an AI index.
2 papers
stat.ME2026
Hierarchical Bayesian inversion using the Karhunen-Loève expansion with analytical eigenpairs of the squared exponential kernel
Tatsuya Shibata, Michael Conrad Koch, Kazunori Fujisawa
The paper presents a computationally efficient hierarchical Bayesian inversion method that uses an analytical Karhunen‑Loève expansion for Gaussian random fields with a squared exp…
stat.AP2024
Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Loève expansion
Tatsuya Shibata, Michael Conrad Koch, Iason Papaioannou +1
Detection of abrupt spatial changes in physical properties representing unique geometric features such as buried objects, cavities, and fractures is an important problem in geophys…