Error-based Knockoffs Inference for Controlled Feature Selection

Xuebin Zhao; Hong Chen; Yingjie Wang; Weifu Li; Tieliang Gong; Yulong Wang; Feng Zheng

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arXiv · 2203.04483

Error-based Knockoffs Inference for Controlled Feature Selection

Xuebin Zhao·Hong Chen·Yingjie Wang·Weifu Li·Tieliang Gong·Yulong Wang·Feng Zheng

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Abstract

Recently, the scheme of model-X knockoffs was proposed as a promising solution to address controlled feature selection under high-dimensional finite-sample settings. However, the procedure of model-X knockoffs depends heavily on the coefficient-based feature importance and only concerns the control of false discovery rate (FDR). To further improve its adaptivity and flexibility, in this paper, we propose an error-based knockoff inference method by integrating the knockoff features, the error-based feature importance statistics, and the stepdown procedure together. The proposed inference procedure does not require specifying a regression model and can handle feature selection with theoretical guarantees on controlling false discovery proportion (FDP), FDR, or k-familywise error rate (k-FWER). Empirical evaluations demonstrate the competitive performance of our approach on both simulated and real data.

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Xuebin Zhao, Hong Chen, Yingjie Wang, Weifu Li, Tieliang Gong, Yulong Wang, Feng Zheng. 2022-03-09. Error-based Knockoffs Inference for Controlled Feature Selection. https://arxiv.org/abs/2203.04483

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