45 citations · 88 across the 7 of their papers we have counts for
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math.NA2014
A Generalized ANOVA Dimensional Decomposition for Dependent Probability Measures
Sharif Rahman
This article explores the generalized analysis-of-variance or ANOVA dimensional decomposition (ADD) for multivariate functions of dependent random variables. Two notable properties…
math.NA2014★ 45 cited
Adaptive-Sparse Polynomial Dimensional Decomposition Methods for High-Dimensional Stochastic Computing
Vaibhav Yadav, Sharif Rahman
This article presents two novel adaptive-sparse polynomial dimensional decomposition (PDD) methods for solving high-dimensional uncertainty quantification problems in computational…
math.NA2014
Novel Computational Methods for High-Dimensional Stochastic Sensitivity Analysis
Sharif Rahman, Xuchun Ren
This paper presents three new computational methods for calculating design sensitivities of statistical moments and reliability of high-dimensional complex systems subject to rando…