High-dimensional uncertainty quantification for Mars atmospheric entry using adaptive generalized polynomial chaos
Sign Up to like & getrecommendations! Published in 2020 at "Aerospace Science and Technology"
DOI: 10.1016/j.ast.2020.106240
Abstract: Abstract The probabilistic uncertainties in Mars atmospheric entry degrade the entry guidance performance. The propagation law of high-dimensional uncertainty during Mars atmospheric entry is still an open problem that should be investigated. The current work… read more here.
Keywords: entry; generalized polynomial; polynomial chaos; mars atmospheric ... See more keywords
Uncertainty quantification/propagation in nonlinear models: Robust reduction – generalized polynomial chaos
Sign Up to like & getrecommendations! Published in 2017 at "Engineering Computations"
DOI: 10.1108/ec-11-2015-0363
Abstract: Purpose The purpose of this paper is to develop robust metamodels, which allow propagating parametric uncertainties, in the presence of localized nonlinearities, with reduced cost and without significant loss of accuracy. Design/methodology/approach The proposed metamodels… read more here.
Keywords: propagation; localized nonlinearities; uncertainty; generalized polynomial ... See more keywords
Uncertainty Quantification of CMOS Active Filter Circuits: A Non-Intrusive Computational Approach Based on Generalized Polynomial Chaos
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Access"
DOI: 10.1109/access.2020.3031215
Abstract: Semiconductor fabrication technologies as applies to the nanometer-era paradigms of nowadays have rendered uncertainty quantification analyses through component-level parameters compulsory and indispensable. Frequency responses of CMOS active filters are invariably observed to be affected by… read more here.
Keywords: generalized polynomial; cmos active; non intrusive; quantification ... See more keywords
Probabilistic Load Flow Based on Generalized Polynomial Chaos
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Power Systems"
DOI: 10.1109/tpwrs.2016.2543143
Abstract: An analytical method based on generalized polynomial chaos (gPC) is proposed for probabilistic load flow (PLF). The method preserves the nonlinearity of power flow equations whose rectangular formulations are adopted to facilitate the gPC expansion.… read more here.
Keywords: probabilistic load; generalized polynomial; based generalized; polynomial chaos ... See more keywords
Uncertainty Quantification Using Generalized Polynomial Chaos Expansion for Nonlinear Dynamical Systems With Mixed State and Parameter Uncertainties
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Computational and Nonlinear Dynamics"
DOI: 10.1115/1.4041473
Abstract: This paper develops a framework for propagation of uncertainties, governed by different probability distribution functions in a stochastic dynamical system. More specifically, it deals with nonlinear dynamical systems, wherein both the initial state and parametric… read more here.
Keywords: state; uncertainty; generalized polynomial; dynamical systems ... See more keywords
Generalized Polynomial Chaos With Optimized Quadrature Applied to a Turbulent Boundary Layer Forced Plate
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Computational and Nonlinear Dynamics"
DOI: 10.1115/1.4041772
Abstract: We explore the use of generalized polynomial chaos (GPC) expansion with stochastic collocation (SC) for modeling the uncertainty in the noise radiated by a plate subject to turbulent boundary layer (TBL) forcing. The SC form… read more here.
Keywords: generalized polynomial; quadrature; boundary layer; turbulent boundary ... See more keywords
Deep learning in high dimension: Neural network expression rates for generalized polynomial chaos expansions in UQ
Sign Up to like & getrecommendations! Published in 2018 at "Analysis and Applications"
DOI: 10.1142/s0219530518500203
Abstract: We estimate the expressive power of certain deep neural networks (DNNs for short) on a class of countably-parametric, holomorphic maps [Formula: see text] on the parameter domain [Formula: see text]. Dimension-independent rates of best [Formula:… read more here.
Keywords: dimension; generalized polynomial; see text; formula see ... See more keywords