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Sensitivity-enhanced generalized polynomial chaos for efficient uncertainty quantification
16 references·1 citing·27 second hop
Sensitivity-enhanced generalized polynomial chaos for efficient uncertainty quantification (2023)Sensitivity-enhanced generalized polynomi…Sparse polynomial chaos expansions via compressed sensing and D-optimal design (2018)Sparse polynomial chaos expan…Least squares polynomial chaos expansion: A review of sampling strategies (2017)Least squares polynomial chao…A robust and efficient stepwise regression method for building sparse polynomial chaos expansions (2016)A robust and efficient stepwi…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 …A new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry (2015)A new surrogate modeling tech…Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies (2014)Compressive sampling of polyn…Spectral Methods for Uncertainty Quantification (2010)Spectral Methods for Uncertai…Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Adaptive sparse polynomial ch…Efficient Uncertainty Quantification Using Gradient-Enhanced Kriging (2009)Efficient Uncertainty Quantif…An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)An adaptive algorithm to buil…Sparse grid collocation schemes for stochastic natural convection problems (2007)Sparse grid collocation schem…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 …Efficient Sensitivity/Uncertainty Analysis Using the Combined Stochastic Response Surface Method and Automated Differentiation: Application to Environmental and Biological Systems (2000)Efficient Sensitivity/Uncerta…Polynomial Chaos in Stochastic Finite Elements (1990)Polynomial Chaos in Stochasti…Nonparametric formulation of polynomial chaos expansion based on least-square support-vector machines (2024)Nonparametric formulation of …Stochastic Finite Elements: A Spectral Approach (1991)Surrogate-assisted global sensitivity analysis: an overview (2020)Design and Analysis of Computer Experiments (1989)Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates (2001)Surrogate models for uncertainty quantification: An overview (2017)A Survey on High-dimensional Gaussian Process Modeling with Application to Bayesian Optimization (2022)Stochastic Finite Element Expansion for Random Media (1989)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Probability density evolution method for dynamic response analysis of structures with uncertain parameters (2004)Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables (2007)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Efficient computation of global sensitivity indices using sparse polynomial chaos expansions (2010)UQLab: A Framework for Uncertainty Quantification in Matlab (2014)POLYNOMIAL-CHAOS-BASED KRIGING (2015)A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output (1999)Sensitivity analysis of environmental models: A systematic review with practical workflow (2016)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)Stochastic finite element methods for partial differential equations with random input data (2014)Structural Reliability Methods (1996)Reliability-based design optimization using kriging surrogates and subset simulation (2011)A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2012)LIF: A new Kriging based learning function and its application to structural reliability analysis (2016)Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients (2011)An Introduction to Computational Stochastic PDEs (2014)Modern Monte Carlo methods for efficient uncertainty quantification and propagation: A survey (2020)Metamodel-Based Sensitivity Analysis: Polynomial Chaos Expansions and Gaussian Processes (2015)
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References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 2010Adaptive sparse polynomial chaos expansion based on least angle regression1,507 cited
  • 2010Spectral Methods for Uncertainty Quantification953 cited
  • 2009An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis834 cited
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  • 2007Sparse grid collocation schemes for stochastic natural convection problems401 cited
  • 2015A new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry248 cited
  • 2014Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies212 cited
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  • 2015Coherence motivated sampling and convergence analysis of least squares polynomial Chaos regression134 cited
  • 2016A robust and efficient stepwise regression method for building sparse polynomial chaos expansions114 cited
  • 2018Sparse polynomial chaos expansions via compressed sensing and D-optimal design

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113 cited
  • 2000Efficient Sensitivity/Uncertainty Analysis Using the Combined Stochastic Response Surface Method and Automated Differentiation: Application to Environmental and Biological Systems105 cited
  • 2009Efficient Uncertainty Quantification Using Gradient-Enhanced Kriging96 cited
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    • 2024Nonparametric formulation of polynomial chaos expansion based on least-square support-vector machines14 cited