Approximate Bayesian model inversion for PDEs with heterogeneous and state-dependent coefficients

Keyphrases

• PDE 100%
• State-dependent Coefficient 100%
• Approximate Bayesian Computation 100%
• Bayesian Model Inversion 100%
• Evidence Lower Bound 100%
• Doubly Stochastic Variational Inference 100%
• Laplace 66%
• Unknown Function 66%
• Physics-based Model 66%
• Gaussian Prior 66%
• Posterior Density 66%
• Partial Differential Equation Model 66%
• Effective Alternative 33%
• Parameter Estimation 33%
• Diffusion Coefficient 33%
• Marginal Likelihood 33%
• Kullback-Leibler Divergence 33%
• Hessian 33%
• Inference Algorithms 33%
• Backpropagation 33%
• Gradient-based 33%
• Expectation-maximization Algorithm 33%
• Bayesian Inference Method 33%
• Model States 33%
• State Parameter 33%
• Nonlinear Diffusion Equation 33%
• Monte Carlo Sampling 33%
• Markov Chain Monte Carlo Simulation 33%
• Stochastic Optimization 33%
• Space-dependent 33%
• Hyperparameters 33%
• Space State 33%
• Sparse Observation 33%
• EM Method 33%
• Laplace Approximation 33%
• Linear Diffusion Equations 33%
• EB Method 33%
• Approximate Bayesian Inference 33%
• Multivariate Gaussian Density 33%

Mathematics

• Stochastics 100%
• Gaussian Distribution 100%
• Approximates 100%
• Partial Differential Equation 100%
• Bayesian Model 100%
• Unknown Function 50%
• Differential Equation Model 50%
• Parameter Estimation 25%
• Monte Carlo 25%
• Diffusion Equation 25%
• Marginal Likelihood 25%
• Kullback-Leibler Divergence 25%
• Markov Chain Monte Carlo 25%
• Bayesian Inference 25%
• Inference Method 25%
• Expectation-Maximization Algorithm 25%
• Laplace Method 25%
• Laplace Approximation 25%

Earth and Planetary Sciences

• Parameter Estimation 100%
• Expectation-Maximization Algorithm 100%
• Markov Chain Monte Carlo 100%