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Coherence motivated sampling and convergence analysis of least squares polynomial Chaos regression
14 references·16 citing·26 second hop
Coherence motivated sampling and convergence analysis of least squares polynomial Chaos regression (2015)Coherence motivated sampling and converge…Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies (2014)Compressive sampling of polyn…Uncertainty Quantification: Theory, Implementation, and Applications (2013)Uncertainty Quantification: T…A non-adapted sparse approximation of PDEs with stochastic inputs (2011)A non-adapted sparse approxim…Spectral methods for uncertainty quantification : with applications to computational fluid dynamics (2010)Spectral methods for uncertai…Numerical Methods for Stochastic Computations: A Spectral Method Approach (2010)Numerical Methods for Stochas…Probabilistic collocation method for flow in porous media: Comparisons with other stochastic methods (2007)Probabilistic collocation met…A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)A Stochastic Collocation Meth…Stochastic finite element: a non intrusive approach by regression (2006)Stochastic finite element: a …A Non-Intrusive Polynomial Chaos Method For Uncertainty Propagation in CFD Simulations (2006)A Non-Intrusive Polynomial Ch…Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure (2004)Physical Systems with Random …Multi-resolution analysis of Wiener-type uncertainty propagation schemes (2004)Multi-resolution analysis of …A Stochastic Collocation Algorithm for Uncertainty Analysis (2003)A Stochastic Collocation Algo…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…Variance-based adaptive sequential sampling for Polynomial Chaos Expansion (2021)Variance-based adaptive seque…Stochastic Oblique Impact on Composite Laminates: A Concise Review and Characterization of the Essence of Hybrid Machine 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with random coefficients (2011)Stochastic finite element methods for partial differential equations with random input data (2014)Chaospy: An open source tool for designing methods of uncertainty quantification (2015)Simulation-based optimal Bayesian experimental design for nonlinear systems (2012)Fast Numerical Methods for Stochastic Computations: A Review (2009)On the convergence of generalized polynomial chaos expansions (2011)Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)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)A unified framework for stochastic optimization (2018)Modern Monte Carlo methods for efficient uncertainty quantification and propagation: A survey (2020)A state-of-the-art review on uncertainty 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this work references cited by second hop

References

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  • 2013Uncertainty Quantification: Theory, Implementation, and Applications1,147 cited
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  • 2007Probabilistic collocation method for flow in porous media: Comparisons with other stochastic methods253 cited
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148 cited

Cited by

  • 2018Review of Polynomial Chaos-Based Methods for Uncertainty Quantification in Modern Integrated Circuits121 cited
  • 2018Sparse polynomial chaos expansions via compressed sensing and D-optimal design113 cited
  • 2016Spacecraft Uncertainty Propagation Using Gaussian Mixture Models and Polynomial Chaos Expansions89 cited
  • 2017Sequential Design of Experiment for Sparse Polynomial Chaos Expansions83 cited
  • 2016On polynomial chaos expansion via gradient-enhanced ℓ1-minimization72 cited
  • 2019PLS-based adaptation for efficient PCE representation in high dimensions66 cited
  • 2020An adaptive polynomial chaos expansion for high-dimensional reliability analysis59 cited
  • 2021Variance-based adaptive sequential sampling for Polynomial Chaos Expansion53 cited
  • 2018Review of Robust Aerodynamic Design Optimization for Air Vehicles51 cited
  • 2020Stochastic Oblique Impact on Composite Laminates: A Concise Review and Characterization of the Essence of Hybrid Machine Learning Algorithms47 cited
  • 2017Time‐dependent global sensitivity analysis with active subspaces for a lithium ion battery model46 cited
  • 2019Multi-level multi-fidelity sparse polynomial chaos expansion based on Gaussian process regression44 cited
  • 2017Efficient Bayesian Experimentation Using an Expected Information Gain Lower Bound44 cited
  • 2018Basis adaptive sample efficient polynomial chaos (BASE-PC)42 cited
  • 2015A response surface approach for reliability analysis of 2.5D C/SiC composites turbine blade36 cited
  • 2016An overview of uncertainty quantification techniques with application to oceanic and oil‐spill simulations35 cited