Ranking-Based Variable Selection for high-dimensional data
Ranking-Based Variable Selection for high-dimensional data
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DOI:
10.5705/ss.202017.0139
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发表时间:
2020
影响因子:
1.4
通讯作者:
R. Baranowski;Yining Chen;P. Fryzlewicz
中科院分区:
文献类型:
--
作者:
R. Baranowski;Yining Chen;P. Fryzlewicz
We propose a ranking-based variable selection (RBVS) technique that identifies important variables influencing the response in high-dimensional data. RBVS uses subsampling to identify the covariates that appear nonspuriously at the top of a chosen variable ranking. We study the conditions under which such a set is unique, and show that it can be recovered successfully from the data by our procedure. Unlike many existing high-dimensional variable selection techniques, among all relevant variables, RBVS distinguishes between important and unimportant variables, and aims to recover only the important ones. Moreover, RBVS does not require model restrictions on the relationship between the response and the covariates, and, thus, is widely applicable in both parametric and nonparametric contexts. Lastly, we illustrate the good practical performance of the proposed technique by means of a comparative simulation study. The RBVS algorithm is implemented in rbvs, a publicly available R package.