Bayesian model inversion using stochastic spectral embedding
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Publication:2131057
DOI10.1016/j.jcp.2021.110141OpenAlexW3024020114WikidataQ128176593 ScholiaQ128176593MaRDI QIDQ2131057
Bruno Sudret, Stefano Marelli, Paul-Remo Wagner
Publication date: 25 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.07380
inverse problemspolynomial chaos expansionsBayesian model inversionsampling-free inversionspectral likelihood expansionsstochastic spectral likelihood embedding
Statistics (62-XX) Parametric inference (62Fxx) Probabilistic methods, stochastic differential equations (65Cxx)
Related Items (4)
Bayesian inversion using adaptive polynomial chaos kriging within subset simulation ⋮ An hp‐adaptive multi‐element stochastic collocation method for surrogate modeling with information re‐use ⋮ Multielement polynomial chaos kriging-based metamodelling for Bayesian inference of non-smooth systems ⋮ Uncertainty Quantification and Experimental Design for Large-Scale Linear Inverse Problems under Gaussian Process Priors
Uses Software
Cites Work
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- Ensemble samplers with affine invariance
- Adaptive sparse polynomial chaos expansion based on least angle regression
- Approximate Bayesian computational methods
- Bayesian inference with optimal maps
- Enhancing \(\ell_1\)-minimization estimates of polynomial chaos expansions using basis selection
- Spectral likelihood expansions for Bayesian inference
- Stochastic spectral methods for efficient Bayesian solution of inverse problems
- Inference from iterative simulation using multiple sequences
- Adaptive multi-fidelity polynomial chaos approach to Bayesian inference in inverse problems
- Data-driven polynomial chaos expansion for machine learning regression
- Bayesian Calibration of Computer Models
- Nonadaptive Quasi-Optimal Points Selection for Least Squares Linear Regression
- Adaptive Construction of Surrogates for the Bayesian Solution of Inverse Problems
- Data-driven model reduction for the Bayesian solution of inverse problems
- Multilevel higher-order quasi-Monte Carlo Bayesian estimation
- Higher-Order Quasi-Monte Carlo for Bayesian Shape Inversion
- Bayesian Inference
- Divergence measures based on the Shannon entropy
- Accurate Approximations for Posterior Moments and Marginal Densities
- Approximate marginal densities of nonlinear functions
- Probability Theory
- Sequential Design of Experiment for Sparse Polynomial Chaos Expansions
- Parallel Local Approximation MCMC for Expensive Models
- Inverse Problem Theory and Methods for Model Parameter Estimation
- Fully Exponential Laplace Approximations to Expectations and Variances of Nonpositive Functions
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark
- STOCHASTIC SPECTRAL EMBEDDING
- Handbook of Approximate Bayesian Computation
- Adaptive Bayesian Inference for Discontinuous Inverse Problems, Application to Hyperbolic Conservation Laws
- Remarks on a Multivariate Transformation
- An invariant form for the prior probability in estimation problems
- An adaptive Metropolis algorithm
- Model selection for small sample regression
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