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The recently proposed fixed-X knockoff is a powerful variable selection procedure that controls the false discovery rate (FDR) in any finite-sample setting, yet its theoretical insights are difficult to show beyond Gaussian linear models.…

Methodology · Statistics 2023-11-28 Han Su , Panxu Yuan , Qingyang Sun , Mengxi Yi , Gaorong Li

Selecting important features that have substantial effects on the response with provable type-I error rate control is a fundamental concern in statistics, with wide-ranging practical applications. Existing knockoff filters, although shown…

Methodology · Statistics 2024-02-29 Jiaqi Gu , Zihuai He

Controlling the False Discovery Rate (FDR) in a variable selection procedure is critical for reproducible discoveries, and it has been extensively studied in sparse linear models. However, it remains largely open in scenarios where the…

Methodology · Statistics 2023-11-16 Yang Cao , Xinwei Sun , Yuan Yao

We present a novel necessary and sufficient principle for False Discovery Rate (FDR) control. This e-Partitioning Principle says that a procedure controls FDR if and only if it is a special case of a general e-Partitioning procedure. By…

Statistics Theory · Mathematics 2025-09-15 Jelle Goeman , Rianne de Heide , Aldo Solari

Controlling the False Discovery Rate (FDR) is critical for reproducible variable selection, especially given the prevalence of complex predictive modeling. The recent Split Knockoff method, an extension of the canonical Knockoffs framework,…

Methodology · Statistics 2025-09-05 Yang Cao , Hangyu Lin , Xinwei Sun , Yuan Yao

We tackle the problem of selecting from among a large number of variables those that are 'important' for an outcome. We consider situations where groups of variables are also of interest in their own right. For example, each variable might…

Methodology · Statistics 2018-08-13 Eugene Katsevich , Chiara Sabatti

False discovery rate (FDR) controlling procedures provide important statistical guarantees for the replicability in signal identification based on multiple hypotheses testing. In many fields of study, FDR controlling procedures are used in…

Methodology · Statistics 2022-10-04 Ran Dai , Cheng Zheng

In many scientific fields, researchers are interested in discovering features with substantial effect on the response from a large number of features while controlling the proportion of false discoveries. By incorporating the knockoff…

Methodology · Statistics 2023-02-28 Jiaqi Gu , Guosheng Yin

In many scientific applications, hypotheses are generated and tested continuously in a stream. We develop a framework for improving online multiple testing procedures with false discovery rate (FDR) control under arbitrary dependence. Our…

Methodology · Statistics 2026-03-27 Ziyu Xu , Lasse Fischer , Aaditya Ramdas

E-values have gained attention as potential alternatives to p-values as measures of uncertainty, significance and evidence. In brief, e-values are realized by random variables with expectation at most one under the null; examples include…

Statistics Theory · Mathematics 2021-12-16 Ruodu Wang , Aaditya Ramdas

Conformal selection (CS) uses calibration data to identify test inputs whose unobserved outcomes are likely to satisfy a pre-specified minimal quality requirement, while controlling the false discovery rate (FDR). Existing methods fix the…

Machine Learning · Computer Science 2026-04-20 Meiyi Zhu , Osvaldo Simeone

In many multiple testing applications in genetics, the signs of test statistics provide useful directional information, such as whether genes are potentially up- or down-regulated between two experimental conditions. However, most existing…

Methodology · Statistics 2025-07-22 Zhaoyang Tian , Kun Liang , Pengfei Li

Multiple resolutions arise across a range of explanatory features due to domain-specific structures, leading to the formation of feature groups. It follows that the simultaneous detection of significant features and groups aimed at a…

Methodology · Statistics 2025-12-23 Chengyao Yu , Ruixing Ming , Min Xiao , Zhanfeng Wang , Bingyi Jing

We consider the problem of assessing the importance of multiple variables or factors from a dataset when side information is available. In principle, using side information can allow the statistician to pay attention to variables with a…

Methodology · Statistics 2020-01-23 Zhimei Ren , Emmanuel Candès

The recent proliferation of high-dimensional data, such as electronic health records and genetics data, offers new opportunities to find novel predictors of outcomes. Presented with a large set of candidate features, interest often lies in…

Methodology · Statistics 2024-09-24 Michael J. Martens , Anjishnu Banerjee , Xinran Qi , Yushu Shi

Model-X knockoff has garnered significant attention among various feature selection methods due to its guarantees for controlling the false discovery rate (FDR). Since its introduction in parametric design, knockoff techniques have evolved…

Machine Learning · Computer Science 2024-11-11 Hongyu Shen , Yici Yan , Zhizhen Zhao

In many applications, we need to study a linear regression model that consists of a response variable and a large number of potential explanatory variables and determine which variables are truly associated with the response. In 2015,…

Methodology · Statistics 2019-07-23 Jiajie Chen , Anthony Hou , Thomas Y. Hou

In many research fields, researchers aim to identify significant associations between a set of explanatory variables and a response while controlling the FDR. The Knockoff filter has been recently proposed in the frequentist paradigm to…

Methodology · Statistics 2026-04-22 Lorenzo Focardi-Olmi , Anna Gottard , Michele Guindani , Marina Vannucci

We propose a novel multiple testing methodology for controlling the false discovery rate (FDR) in high-dimensional linear models that integrates model-X knockoff techniques with debiased penalized regression estimators. At the foundation of…

Methodology · Statistics 2026-03-17 Jinyuan Chang , Chenlong Li , Cheng Yong Tang , Zhengtian Zhu

We propose one-at-a-time knockoffs (OATK), a new methodology for detecting important explanatory variables in linear regression models while controlling the false discovery rate (FDR). For each explanatory variable, OATK generates a…

Methodology · Statistics 2025-02-27 Charlie K. Guan , Zhimei Ren , Daniel W. Apley