Polynomial Chaos Expanded Gaussian Process
Manuscript: 38 pages, 12 figures, 11 ...
Polke, Dominik +3 more
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Numerical Procedures for Random Differential Equations
Some methodological approaches based on generalized polynomial chaos for linear differential equations with random parameters following various types of distribution laws are proposed.
Mohamed Ben Said +2 more
doaj +1 more source
Reliability-Based Robust Design Optimization Using Data-Driven Polynomial Chaos Expansion
As the complexity of modern engineering systems continues to increase, traditional reliability analysis methods still face challenges regarding computational efficiency and reliability in scenarios where the distribution information of random variables ...
Zhaowang Li +3 more
doaj +1 more source
Analysis of the Stochastic Quarter-Five Spot Problem Using Polynomial Chaos. [PDF]
AbdelFattah H +2 more
europepmc +1 more source
Efficient sampling for polynomial chaos-based uncertainty quantification and sensitivity analysis using weighted approximate Fekete points. [PDF]
Burk KM, Narayan A, Orr JA.
europepmc +1 more source
Stochastic Optimization using Polynomial Chaos Expansions
Polynomial chaos based methods enable the efficient computation of output variability in the presence of input uncertainty in complex models. Consequently, they have been used extensively for propagating uncertainty through a wide variety of physical systems.
openaire +2 more sources
Fast uncertainty quantification for dynamic flux balance analysis using non-smooth polynomial chaos expansions. [PDF]
Paulson JA, Martin-Casas M, Mesbah A.
europepmc +1 more source
mumpce_py: A Python Implementation of the Method of Uncertainty Minimization Using Polynomial Chaos Expansions. [PDF]
Sheen DA.
europepmc +1 more source
Full-cycle prediction of crack healing in self-healing concrete using generalized polynomial chaos expansion. [PDF]
Fu C +6 more
europepmc +1 more source
A Generalized Polynomial Chaos-Based Approach to Analyze the Impacts of Process Deviations on MEMS Beams. [PDF]
Gao L, Zhou ZF, Huang QA.
europepmc +1 more source

