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Multi-Fidelity, Gradient-enhanced, and Locally Optimized Sparse Polynomial Chaos and Kriging Surrogate Models Applied to Benchmark Problems
14 references·0 citing·41 second hop
Multi-Fidelity, Gradient-enhanced, and Locally Optimized Sparse Polynomial Chaos and Kriging Surrogate Models Applied to Benchmark Problems (2020)Multi-Fidelity, Gradient-enhanced, and Lo…Multifidelity Sparse Polynomial Chaos Surrogate Models Applied to Flutter Databases (2019)Multifidelity Sparse Polynomi…Efficient uncertainty quantification of stochastic CFD problems using sparse polynomial chaos and compressed sensing (2017)Efficient uncertainty quantif…All-at-once approach to multifidelity polynomial chaos expansion surrogate modeling (2017)All-at-once approach to multi…Multi-fidelity non-intrusive polynomial chaos based on regression (2016)Multi-fidelity non-intrusive …Multi-fidelity robust aerodynamic design optimization under mixed uncertainty (2015)Multi-fidelity robust aerodyn…Enhancing ℓ1 -minimization estimates of polynomial chaos expansions using basis selection (2015)Enhancing ℓ1 -minimization es…Multifidelity Uncertainty Propagation for Optimization Under Uncertainty (2012)Multifidelity Uncertainty Pro…A non-adapted sparse approximation of PDEs with stochastic inputs (2011)A non-adapted sparse approxim…Polynomial Regression Approaches Using Derivative Information for Uncertainty Quantification (2010)Polynomial Regression Approac…Adaptive sparse polynomial chaos expansion based on least angle regression (2010)Adaptive sparse polynomial ch…Adaptive reduction of random variables using global sensitivity in reliability-based optimisation (2006)Adaptive reduction of random …Efficient Sensitivity/Uncertainty Analysis Using the Combined Stochastic Response Surface Method and Automated Differentiation: Application to Environmental and Biological Systems (2000)Efficient Sensitivity/Uncerta…9 Computer experiments (1996)9 Computer experimentsThe origins of kriging (1990)The origins of krigingDesign and Analysis of Computer Experiments (1989)Statistics for Spatial Data. (1993)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)An overview of the design and analysis of simulation experiments for sensitivity analysis (2004)Design of computer experiments: space filling and beyond (2011)Design of computer experiments: A review (2017)Stochastic Finite Element Expansion for Random Media (1989)Stochastic Finite Elements: A Spectral Approach (1991)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Gradient-based methods for uncertainty quantification in hypersonic flows (2012)Gradient-Enhanced Universal Kriging for Uncertainty Propagation (2012)On polynomial chaos expansion via gradient-enhanced ℓ1-minimization (2016)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Global sensitivity analysis using polynomial chaos expansions (2007)Metamodel-Based Sensitivity Analysis: Polynomial Chaos Expansions and Gaussian Processes (2015)Sparse polynomial chaos expansions via compressed sensing and D-optimal design (2018)Surrogate-assisted global sensitivity analysis: an overview (2020)STIGLER'S LAW OF EPONYMY* (1980)STATISTICS FOR SPATIAL DATA (1992)Covariance Tapering for Interpolation of Large Spatial Datasets (2006)Fixed Rank Kriging for Very Large Spatial Data Sets (2008)Recent Advances in Bayesian Optimization (2023)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Challenge problems: uncertainty in system response given uncertain parameters (2004)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)Review of Robust Aerodynamic Design Optimization for Air Vehicles (2018)Optimum aerodynamic shape design under uncertainty by utility theory and metamodeling (2019)Empirical Model Building and Response Surfaces (1988)A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization (2018)Multi-level multi-fidelity sparse polynomial chaos expansion based on Gaussian process regression (2019)Higher-order Taylor series expansion for uncertainty quantification with efficient local sensitivity (2022)Sensitivity Analysis in Multicriteria Spatial Decision-Making: A Review (2004)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 new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry (2015)Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark (2021)Monte Carlo Information-Reuse Approach to Aircraft Conceptual Design Optimization Under Uncertainty (2015)Global sensitivity analysis via multi-fidelity polynomial chaos expansion (2017)An adaptive polynomial chaos expansion for high-dimensional reliability analysis (2020)
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References

  • 1990The origins of kriging1,763 cited
  • 2010Adaptive sparse polynomial chaos expansion based on least angle regression1,507 cited
  • 2011A non-adapted sparse approximation of PDEs with stochastic inputs436 cited
  • 19969 Computer experiments378 cited
  • 2015Enhancing ℓ1 -minimization estimates of polynomial chaos expansions using basis selection174 cited
  • 2000Efficient Sensitivity/Uncertainty Analysis Using the Combined Stochastic Response Surface Method and Automated Differentiation: Application to Environmental and Biological Systems105 cited
  • 2010Polynomial Regression Approaches Using Derivative Information for Uncertainty Quantification88 cited
  • 2016Multi-fidelity non-intrusive polynomial chaos based on regression83 cited
  • 2015Multi-fidelity robust aerodynamic design optimization under mixed uncertainty70 cited
  • 2017All-at-once approach to multifidelity polynomial chaos expansion surrogate modeling44 cited
  • 2017Efficient uncertainty quantification of stochastic CFD problems using sparse polynomial chaos and compressed sensing43 cited
  • 2006Adaptive reduction of random variables using global sensitivity in reliability-based optimisation38 cited
  • 2019Multifidelity Sparse Polynomial Chaos Surrogate Models Applied to Flutter Databases24 cited
  • 2012Multifidelity Uncertainty Propagation for Optimization Under Uncertainty

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