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报告题目：Adaptive Selection for False Discovery Rate Control Leveraging Symmetry

主讲人：许王莉教授（中国人民大学）

时间：2025年4月24日（周四）9:00 a.m.

地点：北院卓远楼305会议室

主办单位：统计与数学学院

摘要：Controlling the false discovery rate (FDR) in high-dimensional multiple testing has recently been advanced through mirror statistics via knockoff and data splitting. However, these approaches primarily emphasize the symmetry structure of the one-dimensional summary statistics while inadvertently overlooking the distribution information from non-null features when determining the rejection region, potentially causing a power loss. To tackle this challenge, we present a novel framework termed symmetry-based adaptive selection (SAS), which leverages the symmetry property of the two-dimensional statistics associated with the null features to estimate the local FDR and thereby determine the rejection region. We provide theoretical evidence for the asymptotic validity of controlling the FDR and emphasize the superior power performance of our proposed SAS. Extensive numerical results from both synthetic experiments and two real-world datasets demonstrate that the proposed SAS achieves satisfactory FDR control and significant power improvements over existing methods.

主讲人简介：

许王莉，中国人民大学教授，博士生导师。许王莉，中国人民大学吴玉章讲席教授，博士生导师。先后主持4项国家自然科学基金，北京市自然科学基金重点研究专题，足球比分网人文社会科学重点研究基地重大项目和足球比分网人文社科基金等多项科研课题。 2010年先后入选“新世纪优秀人才计划”和“北京市科技新星计划”，先后获得中国第十二届北京市统计科研优秀成果奖一等奖(2014)，第一届统计科学技术进步二等奖（2021）。