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Sparse polynomial chaos expansions via compressed sensing and D-optimal design
16 references·16 citing·27 second hopsampled
Sparse polynomial chaos expansions via compressed sensing and D-optimal design (2018)Sparse polynomial chaos expansions via co…Handbook of Uncertainty Quantification (2016)Handbook of Uncertainty Quant…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…Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Adaptive sparse polynomial ch…Optimum Experimental Designs, with SAS (2007)Optimum Experimental Designs,…Statistics for Experimenters: Design, Innovation, and Discovery (2006)Statistics for Experimenters:…Statistics for experimenters: design, innovation, and discovery (2006)Statistics for experimenters:…Optimal Design of Experiments (2006)Optimal Design of ExperimentsThe Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Optimal design of experiments (1993)Optimal design of experimentsStochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Theory of Optimal Experiments. (1972)Theory of Optimal Experiments.Theory of optimal experiments (1972)Theory of optimal experimentsThe Sequential Generation of $D$-Optimum Experimental Designs (1970)The Sequential Generation of …Rules for Ordering Uncertain Prospects (1969)Rules for Ordering Uncertain …Dimensional decomposition-aided metamodels for uncertainty quantification and optimization in engineering: A review (2024)Dimensional decomposition-aid…Polynomial chaos expansion approximation for dimension-reduction model-based reliability analysis method and application to industrial robots (2023)Polynomial chaos expansion ap…Optimal sparse polynomial chaos expansion for arbitrary probability distribution and its application on global sensitivity analysis (2022)Optimal sparse polynomial cha…Novel algorithm for flexible multibody systems with hybrid uncertainties (2022)Novel algorithm for flexible …Deep adaptive arbitrary polynomial chaos expansion: A mini-data-driven semi-supervised method for uncertainty quantification (2022)Deep adaptive arbitrary polyn…Consistency regularization-based deep polynomial chaos neural network method for reliability analysis (2022)Consistency regularization-ba…Variance-based adaptive sequential sampling for Polynomial Chaos Expansion (2021)Variance-based adaptive seque…Structural reliability analysis by a Bayesian sparse polynomial chaos expansion (2021)Structural reliability analys…AUTOMATIC SELECTION OF BASIS-ADAPTIVE SPARSE POLYNOMIAL CHAOS EXPANSIONS FOR ENGINEERING APPLICATIONS (2021)AUTOMATIC SELECTION OF BASIS-…Surrogate modeling of high-dimensional problems via data-driven polynomial chaos expansions and sparse partial least square (2020)Surrogate modeling of high-di…Variance-based sensitivity analysis for time-dependent processes (2019)Variance-based sensitivity an…Multi-level multi-fidelity sparse polynomial chaos expansion based on Gaussian process regression (2019)Multi-level multi-fidelity sp…High-Dimensional Uncertainty Quantification of Electronic and Photonic IC With Non-Gaussian Correlated Process Variations (2019)High-Dimensional Uncertainty …An efficient and robust adaptive sampling method for polynomial chaos expansion in sparse Bayesian learning framework (2019)An efficient and robust adapt…Adaptive weighted least-squares polynomial chaos expansion with basis adaptivity and sequential adaptive sampling (2019)Adaptive weighted least-squar…Active Polynomial Chaos Expansion for Reliability-Based Design Optimization (2019)Active Polynomial Chaos Expan…On the measurement of inequality (1970)On Economic Inequality (1973)A theory of anticipated utility (1982)Theory of games and economic behavior (2019)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)Optimum Experimental Designs (1993)Uniform Design: Theory and Application (2000)State-of-the-Art Review: A User’s Guide to the Brave New World of Designing Simulation Experiments (2005)Making and Evaluating Point Forecasts (2011)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Experimental design in chromatography: A tutorial review (2012)Experimental design of supercritical fluid extraction – A review (2013)Why so many published sensitivity analyses are false: A systematic review of sensitivity analysis practices (2019)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)Response surface design evaluation and comparison (2008)Simulation-based optimal Bayesian experimental design for nonlinear systems (2012)Least squares polynomial chaos expansion: A review of sampling strategies (2017)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Bayesian Experimental Design: A Review (1995)Response surface methodology (2010)Constructing Experimental Designs for Discrete-Choice Experiments: Report of the ISPOR Conjoint Analysis Experimental Design Good Research Practices Task Force (2013)
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 1972Theory of optimal experiments2,093 cited
  • 1972Theory of Optimal Experiments.1,896 cited
  • 1969Rules for Ordering Uncertain Prospects1,757 cited
  • 2006Statistics for experimenters: design, innovation, and discovery1,644 cited
  • 1993Optimal design of experiments1,539 cited
  • 2010Adaptive sparse polynomial chaos expansion based on least angle regression1,507 cited
  • 2007Optimum Experimental Designs, with SAS1,268 cited
  • 2010Numerical Methods for Stochastic Computations: A Spectral Method Approach1,107 cited
  • 2006Statistics for Experimenters: Design, Innovation, and Discovery787 cited
  • 2006Optimal Design of Experiments684 cited
  • 2016Handbook of Uncertainty Quantification588 cited
  • 2010Spectral methods for uncertainty quantification : with applications to computational fluid dynamics572 cited
  • 1970The Sequential Generation of $D$-Optimum Experimental Designs465 cited
  • 2011A non-adapted sparse approximation of PDEs with stochastic inputs

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436 cited

Cited by

  • 2024Dimensional decomposition-aided metamodels for uncertainty quantification and optimization in engineering: A review70 cited
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  • 2020Surrogate modeling of high-dimensional problems via data-driven polynomial chaos expansions and sparse partial least square55 cited
  • 2021Variance-based adaptive sequential sampling for Polynomial Chaos Expansion53 cited
  • 2023Polynomial chaos expansion approximation for dimension-reduction model-based reliability analysis method and application to industrial robots47 cited
  • 2019Adaptive weighted least-squares polynomial chaos expansion with basis adaptivity and sequential adaptive sampling46 cited
  • 2022Deep adaptive arbitrary polynomial chaos expansion: A mini-data-driven semi-supervised method for uncertainty quantification44 cited
  • 2019Multi-level multi-fidelity sparse polynomial chaos expansion based on Gaussian process regression44 cited
  • 2019Active Polynomial Chaos Expansion for Reliability-Based Design Optimization44 cited
  • 2019An efficient and robust adaptive sampling method for polynomial chaos expansion in sparse Bayesian learning framework34 cited
  • 2021AUTOMATIC SELECTION OF BASIS-ADAPTIVE SPARSE POLYNOMIAL CHAOS EXPANSIONS FOR ENGINEERING APPLICATIONS33 cited
  • 2019High-Dimensional Uncertainty Quantification of Electronic and Photonic IC With Non-Gaussian Correlated Process Variations31 cited
  • 2021Structural reliability analysis by a Bayesian sparse polynomial chaos expansion31 cited
  • 2022Consistency regularization-based deep polynomial chaos neural network method for reliability analysis30 cited
  • 2022Novel algorithm for flexible multibody systems with hybrid uncertainties27 cited