Abstract

Finding statistically significant high-order inter actions in predictive modeling is important but challenging task because the possible number of high-order interactions is extremely large (e.g., > In this paper we study feature selection and statistical inference for sparse highorder interaction models. Our main contribution is to extend recently developed selective inference framework for linear models to high-order interaction models by developing a novel algorithm for efficiently characterizing the selection event for the selective inference of high-order in teractions. We demonstrate the effectiveness of the proposed algorithm by applying it to an HIV drug response prediction problem.