Variable selection via a multi-stage strategy

Jing Chang and Herbert K.H. Lee

Journal of Applied Statistics, 2015, vol. 42, issue 4, 762-774

Abstract: Variable selection for nonlinear regression is a complex problem, made even more difficult when there are a large number of potential covariates and a limited number of datapoints. We propose herein a multi-stage method that combines state-of-the-art techniques at each stage to best discover the relevant variables. At the first stage, an extension of the Bayesian Additive Regression tree is adopted to reduce the total number of variables to around 30. At the second stage, sensitivity analysis in the treed Gaussian process is adopted to further reduce the total number of variables. Two stopping rules are designed and sequential design is adopted to make best use of previous information. We demonstrate our approach on two simulated examples and one real data set.

Date: 2015
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DOI: 10.1080/02664763.2014.985640

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