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Sensitivity Analysis of Random and Interval Uncertain Variables Based on Polynomial Chaos Expansion Method
16 references·0 citing·32 second hop
Sensitivity Analysis of Random and Interval Uncertain Variables Based on Polynomial Chaos Expansion Method (2019)Sensitivity Analysis of Random and Interv…Polynomial chaos expansions for uncertainty propagation and moment independent sensitivity analysis of seawater intrusion simulations (2014)Polynomial chaos expansions f…Global Sensitivity Analysis for multivariate output using Polynomial Chaos Expansion (2014)Global Sensitivity Analysis f…Computing derivative-based global sensitivity measures using polynomial chaos expansions (2014)Computing derivative-based gl…A new uncertain analysis method and its application in vehicle dynamics (2014)A new uncertain analysis meth…Separating the contributions of variability and parameter uncertainty in probability distributions (2012)Separating the contributions …Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Data-driven uncertainty quant…Sampling-based RBDO using the stochastic sensitivity analysis and Dynamic Kriging method (2011)Sampling-based RBDO using the…Moment Independent Importance Measures: New Results and Analytical Test Cases (2010)Moment Independent Importance…Efficient computation of global sensitivity indices using sparse polynomial chaos expansions (2010)Efficient computation of glob…Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems (2010)Adaptive-sparse polynomial ch…Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index (2009)Variance based sensitivity an…Polynomial chaos expansion for sensitivity analysis (2008)Polynomial chaos expansion fo…Global Sensitivity Analysis. The Primer (2007)Global Sensitivity Analysis. …Global sensitivity analysis using polynomial chaos expansions (2007)Global sensitivity analysis u…An effective screening design for sensitivity analysis of large models (2007)An effective screening design…Polynomial Chaos Expansion with Latin Hypercube Sampling for Estimating Response Variability (2004)Polynomial Chaos Expansion wi…Stochastic Finite Elements: A Spectral Approach (1991)A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output (1999)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)UQLab: A Framework for Uncertainty Quantification in Matlab (2014)An Introduction to Copulas (1999)Time-variant reliability assessment through equivalent stochastic process transformation (2016)Bayesian sparse polynomial chaos expansion for global sensitivity analysis (2017)Modeling, analysis, and optimization under uncertainties: a review (2021)Design and Analysis of Computer Experiments (1989)Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates (2001)How to avoid a perfunctory sensitivity analysis (2010)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions (2017)Sensitivity and uncertainty analysis for flexoelectric nanostructures (2018)Factorial Sampling Plans for Preliminary Computational Experiments (1991)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)POLYNOMIAL-CHAOS-BASED KRIGING (2015)An active-learning algorithm that combines sparse polynomial chaos expansions and bootstrap for structural reliability analysis (2018)Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark (2021)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)On The Quantitative Definition of Risk (1981)Model emulation and moment-independent sensitivity analysis: An application to environmental modelling (2011)Efficient sampling methods for global reliability sensitivity analysis (2012)Generalized hoeffding-sobol decomposition for dependent variables -application to sensitivity analysis (2015)Sensitivity analysis of environmental models: A systematic review with practical workflow (2016)SALib: An open-source Python library for Sensitivity Analysis (2017)An introduction to sensitivity assessment of simulation models (2015)Review of Polynomial Chaos-Based Methods for Uncertainty Quantification in Modern Integrated Circuits (2018)Reliability analysis with stratified importance sampling based on adaptive Kriging (2020)Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations (2009)Least squares polynomial chaos expansion: A review of sampling strategies (2017)
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References

  • 2007Global Sensitivity Analysis. The Primer6,425 cited
  • 2009Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index3,567 cited
  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 2007An effective screening design for sensitivity analysis of large models2,024 cited
  • 2008Polynomial chaos expansion for sensitivity analysis747 cited
  • 2012Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion451 cited
  • 2010Efficient computation of global sensitivity indices using sparse polynomial chaos expansions383 cited
  • 2004Polynomial Chaos Expansion with Latin Hypercube Sampling for Estimating Response Variability218 cited
  • 2010Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems183 cited
  • 2010Moment Independent Importance Measures: New Results and Analytical Test Cases176 cited
  • 2014A new uncertain analysis method and its application in vehicle dynamics166 cited
  • 2011Sampling-based RBDO using the stochastic sensitivity analysis and Dynamic Kriging method158 cited
  • 2012Separating the contributions of variability and parameter uncertainty in probability distributions120 cited
  • 2014Global Sensitivity Analysis for multivariate output using Polynomial Chaos Expansion

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117 cited
  • 2014Computing derivative-based global sensitivity measures using polynomial chaos expansions116 cited
  • 2014Polynomial chaos expansions for uncertainty propagation and moment independent sensitivity analysis of seawater intrusion simulations115 cited
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