Stability-ranked feature selection for classification in high-dimensional data: combining regularization and machine learning algorithms
摘要
High-dimensional classification, where the number of features far exceeds the sample size, requires effective and stable feature selection. Penalized logistic regression is a popular choice, but it often produces unstable results that are sensitive to training data splits and tuning parameters. We propose a two-stage method, Frequency-Based Ranking and Incremental Feature Selection, to improve selection stability and classification performance. First, features are ranked by their selection frequencies over N repeated penalized logistic regressions. Second, a chosen classifier is applied using an incremental inclusion of ranked features, with performance evaluated across repeated splits. Simulation studies and real data analyses are conducted to demonstrate the finite-sample performance of the proposed method.