2017
DOI: 10.1109/tmtt.2017.2689742
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Accurate Reduced Dimensional Polynomial Chaos for Efficient Uncertainty Quantification of Microwave/RF Networks

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Cited by 34 publications
(14 citation statements)
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“…This paper presents an alternative technique for the UQ in high-dimensional problems [18]- [20], such as the partial least squares (PLS) regression [21]. The PLS regression allows to build a surrogate model of an output depending on many uncertain parameters.…”
Section: Introductionmentioning
confidence: 99%
“…This paper presents an alternative technique for the UQ in high-dimensional problems [18]- [20], such as the partial least squares (PLS) regression [21]. The PLS regression allows to build a surrogate model of an output depending on many uncertain parameters.…”
Section: Introductionmentioning
confidence: 99%
“…As a result, they are easier to implement, comparing to intrusive methods [9]. For problems with higher dimensions, non-intrusive hierarchical sparse PC approaches have been used, which the PC expansion terms are reduced based form of conventional full-blown PC expansions in general [10][11][12][13][14]. For eliminating the computational cost of model construction due to the large size of PC expansions, in [14], a new approach has been presented, which ends up in lower PC expansion with keeping the model accurate.…”
Section: Introductionmentioning
confidence: 99%
“…Although this technique has been satisfactorily employed in many examples, it suffers when the input dimensionality of the problem significantly increases, since the computational cost of the numerical model rapidly grows. To face this problem, referred to as the curse of dimensionality, few approaches have been lately introduced in the context of high-speed circuits [8,9]. In the field of probabilistic engineering mechanics, another approach named the sparse PC and based on the Least Angle Regression (LARS) algorithm [10] has been successfully used in order to quantify uncertainties in high-dimensional problems.…”
Section: Introductionmentioning
confidence: 99%