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DIMENSIONALITY REDUCTION FOR COMPLEX MODELS VIA BAYESIAN COMPRESSIVE SENSING
13 references·16 citing·30 second hop
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References

  • 2007Strictly Proper Scoring Rules, Prediction, and Estimation5,771 cited
  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2002Making best use of model evaluations to compute sensitivity indices2,225 cited
  • 2005Sensitivity Analysis in Practice: A Guide to Assessing Scientific Models1,843 cited
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  • 2010Adaptive sparse polynomial chaos expansion based on least angle regression1,507 cited
  • 2010Spectral Methods for Uncertainty Quantification953 cited
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  • 2011A non-adapted sparse approximation of PDEs with stochastic inputs436 cited
  • 2004Multi-resolution analysis of Wiener-type uncertainty propagation schemes335 cited
  • 2008Sparse polynomial chaos expansions and adaptive stochastic finite elements using a regression approach270 cited

Cited by

  • 2015Enhancing ℓ1 -minimization estimates of polynomial chaos expansions using basis selection174 cited
  • 2017

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Bayesian sparse polynomial chaos expansion for global sensitivity analysis
140 cited
  • 2015Metamodel-Based Sensitivity Analysis: Polynomial Chaos Expansions and Gaussian Processes126 cited
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  • 2021Second-order reliability methods: a review and comparative study113 cited
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  • 2019Principal component analysis and sparse polynomial chaos expansions for global sensitivity analysis and model calibration: Application to urban drainage simulation91 cited
  • 2017Uncertainty propagation of p-boxes using sparse polynomial chaos expansions72 cited
  • 2018Global sensitivity analysis in the context of imprecise probabilities (p-boxes) using sparse polynomial chaos expansions72 cited
  • 2019PLS-based adaptation for efficient PCE representation in high dimensions66 cited
  • 2018An efficient multifidelity ℓ1 -minimization method for sparse polynomial chaos46 cited
  • 2015Enhancing sparsity of Hermite polynomial expansions by iterative rotations45 cited
  • 2017Efficient uncertainty quantification of stochastic CFD problems using sparse polynomial chaos and compressed sensing43 cited
  • 2018Basis adaptive sample efficient polynomial chaos (BASE-PC)42 cited
  • 2019On Nonintrusive Uncertainty Quantification and Surrogate Model Construction in Particle Accelerator Modeling38 cited
  • 2017Uncertainty Quantification Toolkit (UQTk)38 cited