Selective Inference for Sparse High-Order Interaction Models

Finding statistically significant high-order interactions in predictive modeling is important but challenging task because the possible number of high-order interactions is extremely large (e. g. , $> 10^{17}$). In this paper we study feature selection and statistical inference for sparse high-order 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 interactions. We demonstrate the effectiveness of the proposed algorithm by applying it to an HIV drug response prediction problem.

Authors

• Shinya Suzumura
• Kazuya Nakagawa
• Yuta Umezu
• Koji Tsuda
• Ichiro Takeuchi

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