A novel sparse polynomial chaos expansion technique with high adaptiveness for surrogate modelling
From MaRDI portal
Publication:6072781
DOI10.1016/j.apm.2023.05.005zbMath1525.65009MaRDI QIDQ6072781
Publication date: 13 October 2023
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
sequential samplingadaptive basis selectionsurrogate modelsparse polynomial chaos expansionBayesian compressive sensing
Cites Work
- Compressive sampling of polynomial chaos expansions: convergence analysis and sampling strategies
- Hierarchical stochastic metamodels based on moving least squares and polynomial chaos expansion: application to the multiobjective reliability-based optimization of space truss structures
- Sparse Legendre expansions via \(\ell_1\)-minimization
- The stochastic finite element method: past, present and future
- Enhancing \(\ell_1\)-minimization estimates of polynomial chaos expansions using basis selection
- Response surface design evaluation and comparison
- Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos
- Sparse polynomial chaos expansions via compressed sensing and D-optimal design
- An efficient and robust adaptive sampling method for polynomial chaos expansion in sparse Bayesian learning framework
- An efficient adaptive forward-backward selection method for sparse polynomial chaos expansion
- Adaptive weighted least-squares polynomial chaos expansion with basis adaptivity and sequential adaptive sampling
- Compressive sensing adaptation for polynomial chaos expansions
- Some greedy algorithms for sparse polynomial chaos expansions
- A hybrid sequential sampling strategy for sparse polynomial chaos expansion based on compressive sampling and Bayesian experimental design
- A stochastic spectral finite element method for wave propagation analyses with medium uncertainties
- Natural frequency analysis of functionally graded material beams with axially varying stochastic properties
- Divide and conquer: an incremental sparsity promoting compressive sampling approach for polynomial chaos expansions
- Least squares polynomial chaos expansion: a review of sampling strategies
- Sequential experimental design based generalised ANOVA
- Basis adaptive sample efficient polynomial chaos (BASE-PC)
- Beyond Wiener-Askey expansions: handling arbitrary PDFs
- Sequential Bayesian Polynomial Chaos Model Selection for Estimation of Sensitivity Indices
- From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images
- Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark
- Automatic selection of basis-adaptive sparse polynomial chaos expansions for engineering applications
- Bayesian Compressive Sensing Using Laplace Priors