Hierarchical Bayesian level set inversion
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Publication:1703838
DOI10.1007/s11222-016-9704-8zbMath1384.62084arXiv1601.03605OpenAlexW2236957706WikidataQ59766735 ScholiaQ59766735MaRDI QIDQ1703838
Marco A. Iglesias, Matthew M. Dunlop, Andrew M. Stuart
Publication date: 7 March 2018
Published in: Statistics and Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.03605
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Uses Software
Cites Work
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- The Bayesian formulation of EIT: analysis and algorithms
- A Bayesian level set method for geometric inverse problems
- Non-Gaussian statistical inverse problems. Part I: Posterior distributions
- Spectral gaps for a Metropolis-Hastings algorithm in infinite dimensions
- Whittle-Matérn priors for Bayesian statistical inversion with applications in electrical impedance tomography
- Adaptive Bayesian estimation using a Gaussian random field with inverse gamma bandwidth
- The representer method for state and parameter estimation in single-phase Darcy flow
- Spatial variation. 2nd ed
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- A note on Metropolis-Hastings kernels for general state spaces
- Statistical and computational inverse problems.
- Electrical impedance tomography using level set representation and total variational regularization
- Well-posed stochastic extensions of ill-posed linear problems
- A level set method for inverse problems
- A regularizing iterative ensemble Kalman method for PDE-constrained inverse problems
- Ensemble Kalman methods for inverse problems
- Inverse problems: A Bayesian perspective
- Analysis of the Gibbs Sampler for Hierarchical Inverse Problems
- A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems
- A level-set approach for inverse problems involving obstacles Fadil SANTOSA
- Maximum likelihood estimation of models for residual covariance in spatial regression
- A Gaussian hypermodel to recover blocky objects
- Hypermodels in the Bayesian imaging framework
- MCMC METHODS FOR DIFFUSION BRIDGES
- Existence and Uniqueness for Electrode Models for Electric Current Computed Tomography
- Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
- Riemann Manifold Langevin and Hamiltonian Monte Carlo Methods
- Linear inverse problems for generalised random variables
- Linear estimators and measurable linear transformations on a Hilbert space
- Electrical impedance tomography
- Excursion and Contour Uncertainty Regions for Latent Gaussian Models
- Inconsistent Estimation and Asymptotically Equal Interpolations in Model-Based Geostatistics
- Level set methods for inverse scattering
- MCMC methods for functions: modifying old algorithms to make them faster
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