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Controlling the false discovery rate (FDR) in high-dimensional variable selection requires balancing rigorous error control with statistical power. Existing methods with provable guarantees are often overly conservative, creating a…

Methodology · Statistics 2026-02-06 Arnau Vilella , Jasin Machkour , Michael Muma , Daniel P. Palomar

Selecting relevant features associated with a given response variable is an important issue in many scientific fields. Quantifying quality and uncertainty of a selection result via false discovery rate (FDR) control has been of recent…

Methodology · Statistics 2020-12-17 Chenguang Dai , Buyu Lin , Xin Xing , Jun S. Liu

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

Knockoffs is a new framework for controlling the false discovery rate (FDR) in multiple hypothesis testing problems involving complex statistical models. While there has been great emphasis on Type-I error control, Type-II errors have been…

Methodology · Statistics 2017-12-19 Asaf Weinstein , Rina Barber , Emmanuel Candes

One challenge in exploratory association studies using observational data is that the associations between the predictors and the outcome are potentially weak and rare, and the candidate predictors have complex correlation structures. False…

Methodology · Statistics 2025-01-30 Runqiu Wang , Ran Dai , Hongying Dai , Evan French , Cheng Zheng

Sorted L-One Penalized Estimation (SLOPE) has shown the nice theoretical property as well as empirical behavior recently on the false discovery rate (FDR) control of high-dimensional feature selection by adaptively imposing the…

Statistics Theory · Mathematics 2023-02-22 Jingxuan Liang , Hong Chen , Xuelin Zhang , Weifu Li , Xin Tang

In this article, we propose a generalized weighted version of the well-known Benjamini-Hochberg (BH) procedure. The rigorous weighting scheme used by our method enables it to encode structural information from simultaneous multi-way…

Methodology · Statistics 2021-05-25 Shinjini Nandi , Sanat K. Sarkar

While data-driven confounder selection requires careful consideration, it is frequently employed in observational studies. Widely recognized criteria for confounder selection include the minimal-set approach, which involves selecting…

Methodology · Statistics 2025-08-21 Kazuharu Harada , Masataka Taguri

The Model-X knockoff procedure has recently emerged as a powerful approach for feature selection with statistical guarantees. The advantage of knockoff is that if we have a good model of the features X, then we can identify salient features…

Machine Learning · Statistics 2019-05-30 Jaime Roquero Gimenez , James Zou

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) is a common way to control the number of false discoveries in multiple testing. There are a number of approaches available for controlling FDR. However, for functional test statistics, which are discretized into…

Methodology · Statistics 2024-12-03 Tomáš Mrkvička , Mari Myllymäki

False discovery rates (FDR) are an essential component of statistical inference, representing the propensity for an observed result to be mistaken. FDR estimates should accompany observed results to help the user contextualize the relevance…

Methodology · Statistics 2020-10-12 Megan Hollister Murray , Jeffrey D. Blume

The knockoff-based multiple testing setup of Barber & Candes (2015) for variable selection in multiple regression where sample size is as large as the number of explanatory variables is considered. The method of Benjamini & Hochberg (1995)…

Methodology · Statistics 2021-08-20 Sanat K. Sarkar , Cheng Yong Tang

We introduce a multiple testing procedure that controls the median of the proportion of false discoveries (FDP) in a flexible way. The procedure only requires a vector of p-values as input and is comparable to the Benjamini-Hochberg method,…

Methodology · Statistics 2024-03-14 Jesse Hemerik , Aldo Solari , Jelle J Goeman

The False Discovery Rate (FDR) is a new statistical procedure to control the number of mistakes made when performing multiple hypothesis tests, i.e. when comparing many data against a given model hypothesis. The key advantage of FDR is that…

We investigate the performance of a family of multiple comparison procedures for strong control of the False Discovery Rate ($\mathsf{FDR}$). The $\mathsf{FDR}$ is the expected False Discovery Proportion ($\mathsf{FDP}$), that is, the…

Statistics Theory · Mathematics 2008-11-21 Pierre Neuvial

Controlling the false discovery rate (FDR) is a popular approach to multiple testing, variable selection, and related problems of simultaneous inference. In many contemporary applications, models are not specified by discrete variables,…

Statistics Theory · Mathematics 2024-04-16 Mateo Díaz , Venkat Chandrasekaran

Large-scale hypothesis testing is central to modern science, where controlling the False Discovery Rate (FDR) has become the standard approach to managing false positives across many simultaneous tests. Hypotheses rarely exist in isolation;…

Methodology · Statistics 2026-05-19 Binyamin Perets , Shie Mannor

Identifying which variables do influence a response while controlling false positives pervades statistics and data science. In this paper, we consider a scenario in which we only have access to summary statistics, such as the values of…

Competition-based approach to controlling the false discovery rate (FDR) recently rose to prominence when, generalizing it to sequential hypothesis testing, Barber and Cand\`es used it as part of their knockoff-filter. Control of the FDR…

Methodology · Statistics 2023-02-24 Arya Ebadi , Dong Luo , Jack Freestone , William Stafford Noble , Uri Keich