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Article

A Two-Stage Feature Screening Framework for Ultrahigh-Dimensional Survival Data

by
Xinyi Min
1,
Wenbo Wu
2,* and
Baoying Yang
1
1
Department of Statistics, College of Mathematics, Southwest Jiaotong University, Chengdu 611756, China
2
Department of Operations and Analytics, The University of Texas at San Antonio, San Antonio, TX 78249, USA
*
Author to whom correspondence should be addressed.
Mathematics 2026, 14(1), 93; https://doi.org/10.3390/math14010093 (registering DOI)
Submission received: 16 November 2025 / Revised: 17 December 2025 / Accepted: 21 December 2025 / Published: 26 December 2025

Abstract

Identifying important features associated with right-censored survival time in ultrahigh-dimensional survival data is a challenging task due to the curse of dimensionality and information loss caused by censoring. To address these challenges, we propose a two-stage feature screening framework consisting of an imputation step and a feature screening step. The use of Buckley–James imputation leverages information from censoring and can therefore enhance the overall screening performance, particularly when the censoring rate is relatively high. We establish the sure screening properties of the two screening procedures proposed under this framework and illustrate their advantages through simulations. A real-world example is also provided to demonstrate the practical usefulness of the proposed approach.
Keywords: Buckley–James imputation; feature screening; right-censoring Buckley–James imputation; feature screening; right-censoring

Share and Cite

MDPI and ACS Style

Min, X.; Wu, W.; Yang, B. A Two-Stage Feature Screening Framework for Ultrahigh-Dimensional Survival Data. Mathematics 2026, 14, 93. https://doi.org/10.3390/math14010093

AMA Style

Min X, Wu W, Yang B. A Two-Stage Feature Screening Framework for Ultrahigh-Dimensional Survival Data. Mathematics. 2026; 14(1):93. https://doi.org/10.3390/math14010093

Chicago/Turabian Style

Min, Xinyi, Wenbo Wu, and Baoying Yang. 2026. "A Two-Stage Feature Screening Framework for Ultrahigh-Dimensional Survival Data" Mathematics 14, no. 1: 93. https://doi.org/10.3390/math14010093

APA Style

Min, X., Wu, W., & Yang, B. (2026). A Two-Stage Feature Screening Framework for Ultrahigh-Dimensional Survival Data. Mathematics, 14(1), 93. https://doi.org/10.3390/math14010093

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