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Enhancing sparsity of Hermite polynomial expansions by iterative rotations
16 references·4 citing·29 second hop
Enhancing sparsity of Hermite polynomial expansions by iterative rotations (2015)Enhancing sparsity of Hermite polynomial …Enhancing ℓ1 -minimization estimates of polynomial chaos expansions using basis selection (2015)Enhancing ℓ1 -minimization es…Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies (2014)Compressive sampling of polyn…Active Subspace Methods in Theory and Practice: Applications to Kriging Surfaces (2014)Active Subspace Methods in Th…Reweighted minimization method for stochastic elliptic differential equations (2013)Reweighted minimization metho…DIMENSIONALITY REDUCTION FOR COMPLEX MODELS VIA BAYESIAN COMPRESSIVE SENSING (2013)DIMENSIONALITY REDUCTION FOR …Adaptive ANOVA decomposition of stochastic incompressible and compressible flows (2011)Adaptive ANOVA decomposition …A non-adapted sparse approximation of PDEs with stochastic inputs (2011)A non-adapted sparse approxim…An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations (2010)An adaptive high-dimensional …A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)A Stochastic Collocation Meth…An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)An adaptive hierarchical spar…The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications (2008)The multi-element probabilist…A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Stochastic Collocation Meth…High-Order Collocation Methods for Differential Equations with Random Inputs (2005)High-Order Collocation Method…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …An efficient method for parametric uncertainty analysis of numerical geophysical models (1997)An efficient method for param…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Conditional Karhunen-Loève expansion for uncertainty quantification and active learning in partial differential equation models (2020)Conditional Karhunen-Loève ex…Regression-based sparse polynomial chaos for uncertainty quantification of subsurface flow models (2019)Regression-based sparse polyn…Systematic parameter inference in stochastic mesoscopic modeling (2016)Systematic parameter inferenc…Compressive Sampling Methods for Sparse Polynomial Chaos Expansions (2015)Compressive Sampling Methods …Stochastic Differential Equations: An Introduction with Applications. 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References

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  • 2015

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Enhancing ℓ1 -minimization estimates of polynomial chaos expansions using basis selection
174 cited
  • 2011Adaptive ANOVA decomposition of stochastic incompressible and compressible flows127 cited
  • 2013Reweighted minimization method for stochastic elliptic differential equations108 cited
  • Cited by

    • 2019Regression-based sparse polynomial chaos for uncertainty quantification of subsurface flow models26 cited
    • 2016Systematic parameter inference in stochastic mesoscopic modeling22 cited
    • 2020Conditional Karhunen-Loève expansion for uncertainty quantification and active learning in partial differential equation models21 cited
    • 2015Compressive Sampling Methods for Sparse Polynomial Chaos Expansions17 cited