Hierarchical Bayesian level set inversion

A Bayesian level set method for geometric inverse problems

(2016) Marco Iglesias et al.   INTERFACES AND FREE BOUNDARIES

A regularizing iterative ensemble Kalman method for PDE-constrained inverse problems

(2016) Marco A Iglesias   INVERSE PROBLEMS

Bayesian Spatial Modelling withR-INLA

(2015) Finn Lindgren et al.   Journal of Statistical Software

Spectral gaps for a Metropolis–Hastings algorithm in infinite dimensions

(2014) Martin Hairer et al.   ANNALS OF APPLIED PROBABILITY

Pseudo-Marginal Bayesian Inference for Gaussian Processes

(2014) Maurizio Filippone et al.   IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE

Whittle-Matérn priors for Bayesian statistical inversion with applications in electrical impedance tomography

(2014) Sari Lasanen et al.   Inverse Problems and Imaging

Excursion and contour uncertainty regions for latent Gaussian models

(2014) David Bolin et al.   JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY

Analysis of the Gibbs Sampler for Hierarchical Inverse Problems

(2014) Sergios Agapiou et al.   SIAM-ASA Journal on Uncertainty Quantification

Ensemble Kalman methods for inverse problems

(2013) Marco A Iglesias et al.   INVERSE PROBLEMS

MCMC Methods for Functions: Modifying Old Algorithms to Make Them Faster

(2013) S. L. Cotter et al.   STATISTICAL SCIENCE

Non-Gaussian statistical inverse problems. Part I: Posterior distributions

(2012) Sari Lasanen   Inverse Problems and Imaging

Riemann manifold Langevin and Hamiltonian Monte Carlo methods

(2011) Mark Girolami et al.   JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY

Inverse problems: A Bayesian perspective

(2010) A. M. Stuart   ACTA NUMERICA

Adaptive Bayesian estimation using a Gaussian random field with inverse Gamma bandwidth

(2009) A. W. van der Vaart et al.   ANNALS OF STATISTICS

Hypermodels in the Bayesian imaging framework

(2008) Daniela Calvetti et al.   INVERSE PROBLEMS

MCMC METHODS FOR DIFFUSION BRIDGES

(2008) ALEXANDROS BESKOS et al.   Stochastics and Dynamics