Citation map · Study

SZodixStudyAcademic Library

Shelves Open access

Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated

A Generalized ANOVA Dimensional Decomposition for Dependent Probability Measures

16 references·8 citing·41 second hop

FromToDepth

this work references cited by second hop

References

2001Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates6,377 cited
2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
1999General foundations of high‐dimensional model representations905 cited
2003Theorems and examples on high dimensional model representation450 cited
2004A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics441 cited
2001Solution of stochastic partial differential equations using Galerkin finite element techniques414 cited
2011Estimation of global sensitivity indices for models with dependent variables347 cited
2009Implementation and evaluation of nonparametric regression procedures for sensitivity analysis of computationally demanding models327 cited
2005Random balance designs for the estimation of first order global sensitivity indices319 cited
2010Global Sensitivity Analysis for Systems with Independent and/or Correlated Inputs242 cited
2007State Dependent Parameter metamodelling and sensitivity analysis217 cited
2008A polynomial dimensional decomposition for stochastic computing140 cited
2015Generalized hoeffding-sobol decomposition for dependent variables -application to sensitivity analysis140 cited
2011General formulation of HDMR component functions with independent and correlated variables

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

129 cited

2009Extended Polynomial Dimensional Decomposition for Arbitrary Probability Distributions72 cited

2011Global sensitivity analysis by polynomial dimensional decomposition56 cited

Cited by

2017Relationship between sensitivity indices defined by variance- and covariance-based methods35 cited
2018Addressing global uncertainty and sensitivity in first-principles based microkinetic models by an adaptive sparse grid approach34 cited
2016The $f$-Sensitivity Index33 cited
2018Mathematical Properties of Polynomial Dimensional Decomposition26 cited
2018Uncertainty quantification under dependent random variables by a generalized polynomial dimensional decomposition25 cited
2019A Shapley--Owen Index for Interaction Quantification18 cited
2022A Spline Dimensional Decomposition for Uncertainty Quantification in High Dimensions16 cited
2018Functional ANOVA with Multiple Distributions: Implications for the Sensitivity Analysis of Computer Experiments14 cited