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Systematic parameter inference in stochastic mesoscopic modeling
16 references·1 citing·22 second hop
Systematic parameter inference in stochastic mesoscopic modeling (2016)Systematic parameter inference in stochas…Reweighted minimization method for stochastic elliptic differential equations (2013)Reweighted minimization metho…Uncertainty Quantification in MD Simulations. Part II: Bayesian Inference of Force-Field Parameters (2012)Uncertainty Quantification in…Uncertainty Quantification in MD Simulations. Part I: Forward Propagation (2012)Uncertainty Quantification in…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 …Multi-element probabilistic collocation method in high dimensions (2009)Multi-element probabilistic c…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…An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)An Anisotropic Sparse Grid St…Sparse grid collocation schemes for stochastic natural convection problems (2007)Sparse grid collocation schem…A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Stochastic Collocation Meth…Stochastic spectral methods for efficient Bayesian solution of inverse problems (2006)Stochastic spectral methods f…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 …Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…A data-driven framework for sparsity-enhanced surrogates with arbitrary mutually dependent randomness (2019)A data-driven framework for s…Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005)A Stochastic Collocation Approach to Bayesian Inference in Inverse Problems (2009)Simulation-based optimal Bayesian experimental design for nonlinear systems (2012)Active Subspace Methods in Theory and Practice: Applications to Kriging Surfaces (2014)Stochastic Differential Equations: An Introduction with Applications. (1987)Stochastic Differential Equations (2003)Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems (2010)Time-dependent generalized polynomial chaos (2010)Large Sample Properties of Simulations Using Latin Hypercube Sampling (1987)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis (2009)Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization (2018)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)A new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry (2015)POLYNOMIAL-CHAOS-BASED KRIGING (2015)Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark (2021)Efficient computation of global sensitivity indices using sparse polynomial chaos expansions (2010)Stochastic finite element methods for partial differential equations with random input data (2014)
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 2008An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data494 cited
  • 2006Stochastic spectral methods for efficient Bayesian solution of inverse problems471 cited
  • 2009An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations447 cited
  • 2011A non-adapted sparse approximation of PDEs with stochastic inputs436 cited
  • 2007Sparse grid collocation schemes for stochastic natural convection problems401 cited
  • 2008The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications214 cited
  • 2010An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations205 cited
  • 2009Multi-element probabilistic collocation method in high dimensions203 cited
  • 2011Adaptive ANOVA decomposition of stochastic incompressible and compressible flows127 cited
  • 2013

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Reweighted minimization method for stochastic elliptic differential equations
108 cited
  • 2012Uncertainty Quantification in MD Simulations. Part II: Bayesian Inference of Force-Field Parameters79 cited
  • 2012Uncertainty Quantification in MD Simulations. Part I: Forward Propagation65 cited
  • Cited by

    • 2019A data-driven framework for sparsity-enhanced surrogates with arbitrary mutually dependent randomness8 cited