Semivariogram methods for modeling Whittle–Matérn priors in Bayesian inverse problems
From MaRDI portal
Publication:5000601
DOI10.1088/1361-6420/ab762ezbMath1475.62120arXiv1811.09446OpenAlexW3102747650MaRDI QIDQ5000601
Richard D. Brown, Johnathan M. Bardsley, Tiangang Cui
Publication date: 14 July 2021
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.09446
boundary conditionsinverse problemsstochastic partial differential equationsvariogramBayesian methodsGaussian fieldWhittle-Matérn
Bayesian inference (62F15) Image analysis in multivariate analysis (62H35) Ill-posedness and regularization problems in numerical linear algebra (65F22) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items
Optimization-Based Markov Chain Monte Carlo Methods for Nonlinear Hierarchical Statistical Inverse Problems, Hybrid projection methods for large-scale inverse problems with mixed Gaussian priors
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach
- Whittle-Matérn priors for Bayesian statistical inversion with applications in electrical impedance tomography
- On Fourier transforms of radial functions and distributions
- Ten equivalent definitions of the fractional Laplace operator
- Hyperpriors for Matérn fields with applications in Bayesian inversion
- Statistical and computational inverse problems.
- Constructing continuous stationary covariances as limits of the second-order stochastic difference equations
- Studies in the history of probability and statistics XLIX On the Matérn correlation family
- An Introduction to Computational Stochastic PDEs
- Fast and Exact Simulation of Stationary Gaussian Processes through Circulant Embedding of the Covariance Matrix
- Gaussian Markov Random Fields
- Computational Methods for Inverse Problems
- Analysis of Boundary Effects on PDE-Based Sampling of Whittle--Matérn Random Fields
- Statistics for Spatial Data
- ON STATIONARY PROCESSES IN THE PLANE
