Weighted Approximate Fekete Points: Sampling for Least-Squares Polynomial Approximation (Q4603503)

scientific article; zbMATH DE number 6841484

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English	Weighted Approximate Fekete Points: Sampling for Least-Squares Polynomial Approximation	scientific article; zbMATH DE number 6841484

Statements

instance of

scholarly article

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title

Weighted Approximate Fekete Points: Sampling for Least-Squares Polynomial Approximation (English)

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SIAM Journal on Scientific Computing

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publication date

21 February 2018

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full work available at URL

https://arxiv.org/abs/1708.01296

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zbMATH Keywords

uncertainty quantification

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least-squares approximations

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Fekete points

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QR decomposition

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MaRDI profile type

MaRDI publication profile

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cites work

Geometric weakly admissible meshes, discrete least squares approximations and approximate Fekete points

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Computing Multivariate Fekete and Leja Points by Numerical Linear Algebra

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On the calculation of approximate fekete points: the univariate case

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Uniform approximation by discrete least squares polynomials

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Discrete least squares polynomial approximation with random evaluations − application to parametric and stochastic elliptic PDEs

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High-dimensional adaptive sparse polynomial interpolation and applications to parametric PDEs

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On the stability and accuracy of least squares approximations

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Optimal weighted least-squares methods

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A non-adapted sparse approximation of PDEs with stochastic inputs

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A class of orthogonal polynomials

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Sparse grid collocation schemes for stochastic natural convection problems

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Q3997987

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Compressive sampling of polynomial chaos expansions: convergence analysis and sampling strategies

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Generation and application of multivariate polynomial quadrature rules

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A Generalized Sampling and Preconditioning Scheme for Sparse Approximation of Polynomial Chaos Expansions

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Multivariate Markov-type and Nikolskii-type inequalities for polynomials associated with downward closed multi-index sets

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Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

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Analysis of discrete $L^2$ projection on polynomial spaces with random evaluations

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Computation of induced orthogonal polynomial distributions

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Adaptive Leja Sparse Grid Constructions for Stochastic Collocation and High-Dimensional Approximation

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A Christoffel function weighted least squares algorithm for collocation approximations

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Stochastic Collocation Methods on Unstructured Grids in High Dimensions via Interpolation

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Stochastic Collocation on Unstructured Multivariate Meshes

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An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data

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Nonadaptive Quasi-Optimal Points Selection for Least Squares Linear Regression

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Computing approximate Fekete points by QR factorizations of Vandermonde matrices

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Q4061445

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On Discrete Least-Squares Projection in Unbounded Domain with Random Evaluations and its Application to Parametric Uncertainty Quantification

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High-Order Collocation Methods for Differential Equations with Random Inputs

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The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations

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On Sparse Interpolation and the Design of Deterministic Interpolation Points

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STOCHASTIC COLLOCATION ALGORITHMS USING l1-MINIMIZATION

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Minimizing the Condition Number to Construct Design Points for Polynomial Regression Models

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Weighted discrete least-squares polynomial approximation using randomized quadratures

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Identifiers

zbMATH Open document ID

1382.41005

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DOI

10.1137/17M1140960

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4603503