Sparse Bayesian learning for complex‐valued rational approximations

DOI10.1002/nme.7182arXiv2206.02523OpenAlexW4312117970MaRDI QIDQ6071370

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Publication date: 23 November 2023

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.02523

zbMATH Keywords

structural dynamicsrational approximationsparse Bayesian learningsurrogate modelfrequency response functionsparse models

Mathematics Subject Classification ID

Stochastic analysis (60Hxx) Numerical methods for ordinary differential equations (65Lxx) Probabilistic methods, stochastic differential equations (65Cxx)

Cites Work

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• Basis adaptation in homogeneous chaos spaces
• A weighted \(\ell_1\)-minimization approach for sparse polynomial chaos expansions
• Adaptive sparse polynomial chaos expansion based on least angle regression
• Padé-Legendre approximants for uncertainty analysis with discontinuous response surfaces
• Sparse polynomial chaos expansions using variational relevance vector machines
• Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations
• Statistical decision theory and Bayesian analysis. 2nd ed
• Structural reliability analysis of elastic-plastic structures using neural networks and Monte Carlo simulation
• Compressive sensing adaptation for polynomial chaos expansions
• PLS-based adaptation for efficient PCE representation in high dimensions
• Probability density evolution method for dynamic response analysis of structures with uncertain parameters
• Simulation and the Monte Carlo Method
• A Sparse Bayesian Approach to the Identification of Nonlinear State-Space Systems
• Stochastic finite element: a non intrusive approach by regression
• The singular value decomposition: Its computation and some applications
• 10.1162/15324430152748236
• Bayesian Compressive Sensing
• The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
• Unconstrained Optimization of Real Functions in Complex Variables
• Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark
• DIMENSIONALITY REDUCTION FOR COMPLEX MODELS VIA BAYESIAN COMPRESSIVE SENSING
• Remarks on a Multivariate Transformation
• A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

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