A training set subsampling strategy for the reduced basis method (Q2666028)

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English	A training set subsampling strategy for the reduced basis method	scientific article

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scholarly article

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A training set subsampling strategy for the reduced basis method (English)

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Sridhar Chellappa

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Journal of Scientific Computing

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publication date

22 November 2021

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full work available at URL

https://arxiv.org/abs/2103.06185

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zbMATH Keywords

training set sampling

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reduced basis method

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discrete empirical interpolation method

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QR decomposition

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Approximation of Large-Scale Dynamical Systems

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Interpolatory weighted-\(\mathcal{H}_2\) model reduction

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An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations

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A Progressive Reduced Basis/Empirical Interpolation Method for Nonlinear Parabolic Problems

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Model Reduction and Approximation

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A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems

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Column subset selection via sparse approximation of SVD

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Rang revealing QR factorizations

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Nonlinear Model Reduction via Discrete Empirical Interpolation

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HESSIAN-BASED SAMPLING FOR HIGH-DIMENSIONAL MODEL REDUCTION

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Reduced Basis Methods for Uncertainty Quantification

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Active Subspace Methods in Theory and Practice: Applications to Kriging Surfaces

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A New Selection Operator for the Discrete Empirical Interpolation Method---Improved A Priori Error Bound and Extensions

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Randomized QR with Column Pivoting

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An<i>hp</i>certified reduced basis method for parametrized parabolic partial differential equations

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Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities

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Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations

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CERTIFIED REDUCED BASIS METHODS FOR NONAFFINE LINEAR TIME-VARYING AND NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS

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<i>A posteriori</i>error bounds for reduced-basis approximations of parametrized parabolic partial differential equations

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A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space

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Reduced basis method for finite volume approximations of parametrized linear evolution equations

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Certified Reduced Basis Methods for Parametrized Partial Differential Equations

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Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods

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On the use of ANOVA expansions in reduced basis methods for parametric partial differential equations

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Offline-enhanced reduced basis method through adaptive construction of the surrogate training set

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Locally Adaptive Greedy Approximations for Anisotropic Parameter Reduced Basis Spaces

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Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

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Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers' equation

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An adaptive and efficient greedy procedure for the optimal training of parametric reduced-order models

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Localized Discrete Empirical Interpolation Method

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Stability of Discrete Empirical Interpolation and Gappy Proper Orthogonal Decomposition with Randomized and Deterministic Sampling Points

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Online Adaptive Model Reduction for Nonlinear Systems via Low-Rank Updates

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Data-driven operator inference for nonintrusive projection-based model reduction

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Reduced Basis Methods for Partial Differential Equations

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Certified reduced basis approximation for parametrized partial differential equations and applications

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1 Basic ideas and tools for projection-based model reduction of parametric partial differential equations

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Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.

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Randomized Discrete Empirical Interpolation Method for Nonlinear Model Reduction

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An Efficient Output Error Estimation for Model Order Reduction of Parametrized Evolution Equations

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Identifiers

zbMATH Open document ID

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10.1007/s10915-021-01665-y

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Mathematics Subject Classification ID

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zbMATH DE Number

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Mathematics(1 entry)

mardi Publication:2666028

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