Sparse Minimum Redundancy Maximum Relevance for Feature Selection
提出一种结合特征间和特征与目标关系的特征筛选方法，通过非凸惩罚的连续mRMR过程识别不相关特征，并利用knockoff滤波器控制错误发现率，无需预设特征数量。
ABSTRACT We propose a feature screening method that integrates both feature–feature and feature–target relationships. Inactive features are identified via a penalized minimum Redundancy Maximum Relevance (mRMR) procedure, which is the continuous version of the classical mRMR penalized by a non‐convex regularizer, and where the parameters estimated as zero coefficients represent the set of inactive features. We establish the conditions under which zero coefficients are correctly identified to guarantee accurate recovery of inactive features. We introduce a multi‐stage procedure based on the knockoff filter that enables the penalized mRMR to discard inactive features while controlling the false discovery rate (FDR). Our method performs comparably to HSIC‐LASSO but is more conservative in the number of selected features. It only requires setting an FDR threshold, rather than specifying the number of features to retain. The effectiveness of the method is illustrated through simulations and real‐world datasets. The code to reproduce this work is available on the following GitHub: https://github.com/PeterJackNaylor/SmRMR .