Model-free sure screening via maximum correlation
Qiming Huang and
Yu Zhu
Journal of Multivariate Analysis, 2016, vol. 148, issue C, 89-106
Abstract:
For screening features in an ultrahigh-dimensional setting, we develop a maximum correlation-based sure independence screening (MC-SIS) procedure, and show that MC-SIS possesses the sure screen property without imposing model or distributional assumptions on the response and predictor variables. MC-SIS is a model-free method in contrast with some other existing model-based sure independence screening methods in the literature. Simulation examples and a real data application are used to demonstrate the performance of MC-SIS and to compare MC-SIS with other existing sure screening methods. The results show that MC-SIS can outperform those methods when their model assumptions are violated, and remain competitive when the model assumptions are satisfied.
Keywords: B-spline; Distance correlation; Optimal transformation; Sure screening property; Variable selection (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:jmvana:v:148:y:2016:i:c:p:89-106
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DOI: 10.1016/j.jmva.2016.02.014
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