Optimized sparse polynomial chaos expansion with entropy regularization [PDF]
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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Stochastic Finite Element Analysis using Polynomial Chaos [PDF]
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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Polynomial Chaos Expansion Approach to Interest Rate Models [PDF]
Journal of Probability and Statistics, 2015 The Polynomial Chaos Expansion (PCE) technique allows us to recover a finite second-order random variable exploiting suitable linear combinations of orthogonal polynomials which are functions of a given stochastic quantity ξ, hence acting as a kind of ...
Luca Di Persio +2 more
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Global Reliability Sensitivity Analysis Based on Maximum Entropy and 2-Layer Polynomial Chaos Expansion [PDF]
Entropy, 2018 To optimize contributions of uncertain input variables on the statistical parameter of given model, e.g., reliability, global reliability sensitivity analysis (GRSA) provides an appropriate tool to quantify the effects.
Jianyu Zhao +3 more
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Construction of bootstrap confidence intervals on sensitivity indices computed by polynomial chaos expansion [PDF]
Reliability Engineering and System Safety, 2014 Sensitivity analysis aims at quantifying influence of input parameters dispersion on the output dispersion of a numerical model. When the model evaluation is time consuming, the computation of Sobol' indices based on Monte Carlo method is not applicable ...
Berveiller, Marc +3 more
exaly +6 more sources
Best Practices in Developing a Workflow for Uncertainty Quantification for Modeling the Biodegradation of Mg‐Based Implants [PDF]
Advanced ScienceComputational models of electrochemical biodegradation of magnesium (Mg)‐based implants are uncertain. To quantify the model uncertainty, iterative evaluations are needed.
Tamadur AlBaraghtheh +2 more
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Study on precision reliability evaluation method of harmonic drive based on NIPCE considering wear [PDF]
Scientific ReportsA dynamic reliability evaluation method for precision of harmonic drive considering wear is proposed to estimate the precision reliability of harmonic drive precisely for precision degradation failure prediction and proactive maintenance.
Xian Zhang +4 more
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Full-cycle prediction of crack healing in self-healing concrete using generalized polynomial chaos expansion [PDF]
Communications EngineeringThe crack healing capacity of self-healing concrete is crucial for enhancing structural durability, especially in aggressive environments where the dynamic progression of healing depth directly influences service life.
Changhao Fu +6 more
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HIERARCHICAL ADAPTIVE POLYNOMIAL CHAOS EXPANSIONS [PDF]
Proceedings of the 1st International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECOMP 2015), 2015 Polynomial chaos expansions (PCE) are widely used in the framework of uncertainty quantification. However, when dealing with high dimensional complex problems, challenging issues need to be faced. For instance, high-order polynomials may be required, which leads to a large polynomial basis whereas usually only a few of the basis functions are in fact ...
Mai, Chu V., Sudret, Bruno
openaire +5 more sources
Mathematics, 2023 The evaluation of objective functions and component reliability in the optimisation of structural-acoustic systems with random and interval variables is computationally expensive, especially when strong nonlinearity exhibits between the response and ...
Shengwen Yin +3 more
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