Accelerating uncertainty quantification of groundwater flow modelling using a deep neural network proxy

Soil electrical conductivity imaging using a neural network-based forward solver: Applied to large-scale Bayesian electromagnetic inversion

(2020) Davood Moghadas et al.   JOURNAL OF APPLIED GEOPHYSICS

Accounting for model error in Bayesian solutions to hydrogeophysical inverse problems using a local basis approach

(2018) Corinna Köpke et al.   ADVANCES IN WATER RESOURCES

Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization

(2018) Benjamin Peherstorfer et al.   SIAM REVIEW

Random field simulation over curved surfaces: Applications to computational structural mechanics

(2018) Carl Scarth et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Efficient Monte Carlo sampling of inverse problems using a neural network-based forward—applied to GPR crosshole traveltime inversion

(2017) T M Hansen et al.   GEOPHYSICAL JOURNAL INTERNATIONAL

Structural geologic modeling as an inference problem: A Bayesian perspective

(2016) Miguel de la Varga et al.   Interpretation-A Journal of Subsurface Characterization

A Hierarchical Multilevel Markov Chain Monte Carlo Algorithm with Applications to Uncertainty Quantification in Subsurface Flow

(2015) T. J. Dodwell et al.   SIAM-ASA Journal on Uncertainty Quantification

Accounting for imperfect forward modeling in geophysical inverse problems — Exemplified for crosshole tomography

(2014) Thomas Mejer Hansen et al.   GEOPHYSICS

Learning about physical parameters: the importance of model discrepancy

(2014) Jenný Brynjarsdóttir et al.   INVERSE PROBLEMS

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

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

Efficient posterior exploration of a high-dimensional groundwater model from two-stage Markov chain Monte Carlo simulation and polynomial chaos expansion

(2013) Eric Laloy et al.   WATER RESOURCES RESEARCH

Bayesian calibration of a large-scale geothermal reservoir model by a new adaptive delayed acceptance Metropolis Hastings algorithm

(2011) T. Cui et al.   WATER RESOURCES RESEARCH

Bayesian uncertainty quantification for flows in heterogeneous porous media using reversible jump Markov chain Monte Carlo methods

(2010) A. Mondal et al.   ADVANCES IN WATER RESOURCES

Bayesian inverse problem and optimization with iterative spatial resampling

(2010) Grégoire Mariethoz et al.   WATER RESOURCES RESEARCH

Examples of Adaptive MCMC

(2009) Gareth O. Roberts et al.   JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS

Efficient uncertainty quantification techniques in inverse problems for Richards’ equation using coarse-scale simulation models

(2008) P. Dostert et al.   ADVANCES IN WATER RESOURCES

Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems

(2008) Youssef M. Marzouk et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Geometric insight into the challenges of solving high-dimensional reliability problems

(2008) L.S. Katafygiotis et al.   PROBABILISTIC ENGINEERING MECHANICS

Issues in characterizing heterogeneity and connectivity in non-multiGaussian media

(2007) Jaouher Kerrou et al.   ADVANCES IN WATER RESOURCES