2019
DOI: 10.1109/tap.2019.2911645
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A Statistical Parsimony Method for Uncertainty Quantification of FDTD Computation Based on the PCA and Ridge Regression

Abstract: The non-intrusive polynomial chaos (NIPC) expansion method is one of the most frequently used methods for uncertainty quantification (UQ) due to its high computational efficiency and accuracy. However, the number of polynomial bases is known to substantially grow as the number of random parameters increases, leading to excessive computational cost. Various sparse schemes such as the least angle regression method have been utilised to alleviate such a problem. Nevertheless, the computational cost associated wit… Show more

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Cited by 20 publications
(4 citation statements)
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References 60 publications
(64 reference statements)
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“…The proposed attention-panel mechanism imitates such a situation, in which each panel member represents a participant of the subjection evaluation and judges the image quality from a different perspective. This way, the model can achieve a comprehensive evaluation of the image quality, thus reducing the prediction uncertainty (Hu et al 2019).…”
Section: Attention-panel Mechanismmentioning
confidence: 99%
“…The proposed attention-panel mechanism imitates such a situation, in which each panel member represents a participant of the subjection evaluation and judges the image quality from a different perspective. This way, the model can achieve a comprehensive evaluation of the image quality, thus reducing the prediction uncertainty (Hu et al 2019).…”
Section: Attention-panel Mechanismmentioning
confidence: 99%
“…The excessive number of high-level features we learn by cls token in the transformer will affect the role of low level in quality assessment. We here use the least angle regression (LARS) method to select those influential high-level features and thus reduce the dimension of the high-level features [39].…”
Section: Least Angle Regression For Adaptive Feature Selectionmentioning
confidence: 99%
“…The RR uses a regularization method (L2 regularization) to estimate the magnitude of the coefficient of multiple regression models when independent antenna variables (features) are highly correlated. This technique lowers the standard errors by introducing some bias into the usual linear regression for antenna parameter prediction [15].…”
Section: Ridge Regressionmentioning
confidence: 99%