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Variable selection represents an irreplaceable tool in the analysis of high-dimensional data, preventing numerous approaches of multivariate statistics and data mining from overfitting the data or even from being computationally infeasible due to the curse of dimensionality.
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Hard modeling approaches of fitting multivariate response data are based on mathematical relationships, which describe the measurements quantitatively [14]‐[16].
These are typical problems when bivariate approaches are used instead of multivariate approaches.
Globally, χ, SU, and IG, representatives of univariate approaches, and RF, representative of multivariate approaches, seem to best satisfy the objective of jointly optimized stability and effectiveness of selected biomarkers.
In the selection approach of the multivariate models, we assessed an extensive list of potential confounders, including demographic variables, diet, lifestyle factors, treatment, clinicopathologic, and a series of molecular predictors.
Our approach to GWAS of multivariate highLDLhighTG identified 15 SNPs in six genes (PAK7, C20orf103, NRIP1, BCL2, TRPM3, and NAV1).
A novel approach to multivariate evaluation of separation electrolytes for micellar electrokinetic chromatography is presented.
This paper describes extensions of this approach to multivariate frailty distributions, modifications for application to pedigree and case-control studies, some simulation results, and applications to studies of breast cancer in twins and of lung cancer in relation to family smoking habits.
There are two main approaches of univariate and multivariate analyses in forecasting financial time series where ANNs can be used in both (Cao and Tay 2001).
A natural extension of the previous approach for multivariate data is to extract the intersection among inverse images of multiple function values first, and then track the topological changes inherent in that intersection with respect to the multivariate function value changes.
On the other hand, chemometrices, as a group of multivariate approaches, is more powerful than the univariate approach.
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