A preconditioning approach for improved estimation of sparse polynomial chaos expansions
Sign Up to like & getrecommendations! Published in 2018 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2018.08.005
Abstract: Abstract Compressive sampling has been widely used for sparse polynomial chaos (PC) approximation of stochastic functions. The recovery accuracy of compressive sampling highly depends on the incoherence properties of the measurement matrix. In this paper,… read more here.
Keywords: accuracy; chaos expansions; chaos; sparse polynomial ... See more keywords
An active-learning algorithm that combines sparse polynomial chaos expansions and bootstrap for structural reliability analysis
Sign Up to like & getrecommendations! Published in 2018 at "Structural Safety"
DOI: 10.1016/j.strusafe.2018.06.003
Abstract: Polynomial chaos expansions (PCE) have seen widespread use in the context of uncertainty quantification. However, their application to structural reliability problems has been hindered by the limited performance of PCE in the tails of the… read more here.
Keywords: active learning; algorithm; chaos expansions; structural reliability ... See more keywords
Rational Polynomial Chaos Expansions for the Stochastic Macromodeling of Network Responses
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Circuits and Systems I: Regular Papers"
DOI: 10.1109/tcsi.2019.2942109
Abstract: This paper introduces rational polynomial chaos expansions for the stochastic modeling of the frequency-domain responses of linear electrical networks. The proposed method models stochastic network responses as a ratio of polynomial chaos expansions, rather than… read more here.
Keywords: rational polynomial; polynomial chaos; chaos expansions; network responses ... See more keywords