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A multi-fidelity polynomial chaos-greedy Kaczmarz approach for resource-efficient uncertainty quantification on limited budget
16 references·1 citing·25 second hop
A multi-fidelity polynomial chaos-greedy Kaczmarz approach for resource-efficient uncertainty quantification on limited budget (2021)A multi-fidelity polynomial chaos-greedy …Enhancing ℓ1 -minimization estimates of polynomial chaos expansions using basis selection (2015)Enhancing ℓ1 -minimization es…Coherence motivated sampling and convergence analysis of least squares polynomial Chaos regression (2015)Coherence motivated sampling …Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies (2014)Compressive sampling of polyn…Active Subspace Methods in Theory and Practice: Applications to Kriging Surfaces (2014)Active Subspace Methods in Th…Adaptive Smolyak Pseudospectral Approximations (2013)Adaptive Smolyak Pseudospectr…Sequential Design and Analysis of High-Accuracy and Low-Accuracy Computer Codes (2012)Sequential Design and Analysi…Multifidelity Uncertainty Quantification Using Non-Intrusive Polynomial Chaos and Stochastic Collocation (2012)Multifidelity Uncertainty Qua…A non-adapted sparse approximation of PDEs with stochastic inputs (2011)A non-adapted sparse approxim…Spectral methods for uncertainty quantification : with applications to computational fluid dynamics (2010)Spectral methods for uncertai…Numerical Methods for Stochastic Computations: A Spectral Method Approach (2010)Numerical Methods for Stochas…Multi-element probabilistic collocation method in high dimensions (2009)Multi-element probabilistic c…An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)An adaptive hierarchical spar…Stochastic model reduction for chaos representations (2007)Stochastic model reduction fo…Global sensitivity analysis using polynomial chaos expansions (2007)Global sensitivity analysis u…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Fast Uncertainty Quantification by Sparse Data Learning From Multiphysics Systems (2023)Fast Uncertainty Quantificati…Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Least squares polynomial chaos expansion: A review of sampling strategies (2017)Surrogate-assisted global sensitivity analysis: an overview (2020)Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates (2001)Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems (2010)An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations (2010)A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output (1999)UQLab: A Framework for Uncertainty Quantification in Matlab (2014)Sensitivity analysis of environmental models: A systematic review with practical workflow (2016)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)A new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry (2015)POLYNOMIAL-CHAOS-BASED KRIGING (2015)Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark (2021)Stochastic Differential Equations: An Introduction with Applications. (1987)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Global Sensitivity Analysis. The Primer (2007)Global Sensitivity Analysis: The Primer by Andrea Saltelli, Marco Ratto, Terry Andres, Francesca Campolongo, Jessica Cariboni, Debora Gatelli, Michaela Saisana, Stefano Tarantola (2008)Exploiting active subspaces to quantify uncertainty in the numerical simulation of the HyShot II scramjet (2015)Global sensitivity metrics from active subspaces (2017)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients (2011)Stochastic finite element methods for partial differential equations with random input data (2014)Chaospy: An open source tool for designing methods of uncertainty quantification (2015)Simulation-based optimal Bayesian experimental design for nonlinear systems (2012)
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References

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  • 2014Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies212 cited
  • 2009Multi-element probabilistic collocation method in high dimensions203 cited
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  • 2013Adaptive Smolyak Pseudospectral Approximations169 cited
  • 2012Multifidelity Uncertainty Quantification Using Non-Intrusive Polynomial Chaos and Stochastic Collocation162 cited

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  • 2015Coherence motivated sampling and convergence analysis of least squares polynomial Chaos regression134 cited
  • 2012Sequential Design and Analysis of High-Accuracy and Low-Accuracy Computer Codes130 cited
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    • 2023Fast Uncertainty Quantification by Sparse Data Learning From Multiphysics Systems10 cited