An adaptive ANOVA-based PCKF for high-dimensional nonlinear inverse modeling
From MaRDI portal
Publication:348643
DOI10.1016/j.jcp.2013.11.019zbMath1349.65025OpenAlexW2017921350MaRDI QIDQ348643
Dongxiao Zhang, Weixuan Li, Guang Lin
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2013.11.019
Inference from stochastic processes and prediction (62M20) Probabilistic models, generic numerical methods in probability and statistics (65C20) Analysis of variance and covariance (ANOVA) (62J10)
Related Items
Interface control volume finite element method for modelling multi-phase fluid flow in highly heterogeneous and fractured reservoirs, An adaptive importance sampling algorithm for Bayesian inversion with multimodal distributions, A two-stage adaptive stochastic collocation method on nested sparse grids for multiphase flow in randomly heterogeneous porous media, A Defensive Marginal Particle Filtering Method for Data Assimilation, Calibration of reduced-order model for a coupled Burgers equations based on PC-EnKF, Optimal observations-based retrieval of topography in 2D shallow water equations using PC-EnKF, Sparsity-promoting elastic net method with rotations for high-dimensional nonlinear inverse problem, Inverse regression-based uncertainty quantification algorithms for high-dimensional models: theory and practice, A Bayesian mixed shrinkage prior procedure for spatial-stochastic basis selection and evaluation of gPC expansions: applications to elliptic SPDEs, A non-intrusive reduced basis EKI for time fractional diffusion inverse problems
Uses Software
Cites Work
- Adaptive ANOVA decomposition of stochastic incompressible and compressible flows
- A stochastic collocation based Kalman filter for data assimilation
- A generalized polynomial chaos based ensemble Kalman filter with high accuracy
- Multi-element probabilistic collocation method in high dimensions
- An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations
- General foundations of high-dimensional model representations
- Modeling uncertainty in flow simulations via generalized polynomial chaos.
- Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
- Equation of State Calculations by Fast Computing Machines
- The ensemble Kalman filter for combined state and parameter estimation
- High-Order Collocation Methods for Differential Equations with Random Inputs
- High dimensional model representations generated from low dimensional data samples. I: mp-cut-HDMR