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Polynomial Chaos Expanded Gaussian Process
Machine Learning and Knowledge ExtractionIn complex and unknown processes, global models are fitted over the entire input domain but often tend to perform poorly whenever the response surface exhibits non-stationary behavior and varying smoothness.
Dominik Polke +3 more
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Physics-informed polynomial chaos expansions
Journal of Computational Physics, 2023 Surrogate modeling of costly mathematical models representing physical systems is challenging since it is typically not possible to create a large experimental design. Thus, it is beneficial to constrain the approximation to adhere to the known physics of the model.
Lukás Novák +2 more
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POLYNOMIAL-CHAOS-BASED KRIGING [PDF]
International Journal for Uncertainty Quantification, 2015 Computer simulation has become the standard tool in many engineering fields for designing and optimizing systems, as well as for assessing their reliability. To cope with demanding analysis such as optimization and reliability, surrogate models (a.k.a meta-models) have been increasingly investigated in the last decade. Polynomial Chaos Expansions (PCE)
Schoebi, R., Sudret, B., Wiart, J.
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Intrusive Polynomial Chaos for CFD Using OpenFOAM [PDF]
Computational Science – ICCS 2020, 2020 We present the formulation and implementation of a stochastic Computational Fluid Dynamics (CFD) solver based on the widely used finite volume library - OpenFOAM. The solver employs Generalized Polynomial Chaos (gPC) expansion to (a) quantify the uncertainties associated with the fluid flow simulations, and (b) study the non-linear propagation of these
Parekh J, Verstappen R.
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Polynomial chaos representation of databases on manifolds [PDF]
Journal of Computational Physics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Christian Soize, Roger G. Ghanem
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Airfoil Robust Optimization Based on Convolutional Neural Network and Polynomial Chaos Method
Hangkong gongcheng jinzhan, 2021 In conventional airfoil optimization design method, the aerodynamic performance of the optimal airfoil can deteriorate at the non-design point, so it is necessary to study the airfoil robust optimization method.An airfoil robustness design method based ...
GAO Yuan +4 more
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UNCERTAINTY EVALUATION METHOD FOR NONLINEAR SYSTEM TEST BASED ON POLYNOMIAL CHAOS EXPANSION
Jixie qiangdu, 2022 The uncertainty analysis of test results of nonlinear system shows the dispersion of test results. In this paper, an evaluation method of test uncertainty of nonlinear system based on polynomial chaos expansion is suggested.
YU HuiJie +5 more
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Stochastic Finite Element Analysis using Polynomial Chaos
Studia Geotechnica et Mechanica, 2016 This paper presents a procedure of conducting Stochastic Finite Element Analysis using Polynomial Chaos. It eliminates the need for a large number of Monte Carlo simulations thus reducing computational time and making stochastic analysis of practical ...
Drakos S., Pande G.N.
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Optimized sparse polynomial chaos expansion with entropy regularization
Advances in Aerodynamics, 2022 Sparse Polynomial Chaos Expansion (PCE) is widely used in various engineering fields to quantitatively analyse the influence of uncertainty, while alleviating the problem of dimensionality curse.
Sijie Zeng +3 more
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Data-driven sparse polynomial chaos expansion for models with dependent inputs
Journal of Safety Science and Resilience, 2023 Polynomial chaos expansions (PCEs) have been used in many real-world engineering applications to quantify how the uncertainty of an output is propagated from inputs by decomposing the output in terms of polynomials of the inputs.
Zhanlin Liu, Youngjun Choe
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