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Extended Polynomial Dimensional Decomposition for Arbitrary Probability Distributions

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2018A polynomial chaos expansion in dependent random variables52 cited
2011ORTHOGONAL POLYNOMIAL EXPANSIONS FOR SOLVING RANDOM EIGENVALUE PROBLEMS46 cited
2014Adaptive-sparse polynomial dimensional decomposition methods for high-dimensional stochastic computing45 cited
2014A Generalized ANOVA Dimensional Decomposition for Dependent Probability Measures37 cited
2015Reliability-based design optimization by adaptive-sparse polynomial dimensional decomposition33 cited
2016The $f$-Sensitivity Index33 cited

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2013

Robust design optimization by polynomial dimensional decomposition

33 cited

2013Karhunen–Loève decomposition of random fields based on a hierarchical matrix approach27 cited

2018Mathematical Properties of Polynomial Dimensional Decomposition26 cited

2009Statistical Moments of Polynomial Dimensional Decomposition26 cited

2018Uncertainty quantification under dependent random variables by a generalized polynomial dimensional decomposition25 cited

2021A hybrid method for analysing stationary random vibration of structures with uncertain parameters24 cited

2014Novel computational methods for high‐dimensional stochastic sensitivity analysis24 cited

2020Practical uncertainty quantification analysis involving statistically dependent random variables23 cited