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The false discovery rate (FDR)---the expected fraction of spurious discoveries among all the discoveries---provides a popular statistical assessment of the reproducibility of scientific studies in various disciplines. In this work, we…

Machine Learning · Statistics 2015-11-10 Weijie Su , Junyang Qian , Linxi Liu

In high dimensional variable selection problems, statisticians often seek to design multiple testing procedures that control the False Discovery Rate (FDR), while concurrently identifying a greater number of relevant variables. Model-X…

Statistics Theory · Mathematics 2023-07-25 Taejoo Ahn , Licong Lin , Song Mei

A resurgence of interest in multiple hypothesis testing has occurred in the last decade. Motivated by studies in genomics, microarrays, DNA sequencing, drug screening, clinical trials, bioassays, education and psychology, statisticians have…

Statistics Theory · Mathematics 2007-06-13 Arthur Cohen , Harold B. Sackrowitz

In a multiple testing task, finding an appropriate estimator of the proportion $\pi_0$ of non-signal in the data to boost power of false discovery rate (FDR) controlling procedures is a long-standing research theme, sometimes referred to as…

Methodology · Statistics 2026-03-19 Gao Zijun , Roquain Etienne

The highly influential two-group model in testing a large number of statistical hypotheses assumes that the test statistics are drawn independently from a mixture of a high probability null distribution and a low probability alternative.…

Methodology · Statistics 2020-12-08 Ruth Heller , Saharon Rosset

Recently, Barber and Cand\`es laid the theoretical foundation for a general framework for false discovery rate (FDR) control based on the notion of "knockoffs." A closely related FDR control methodology has long been employed in the…

Methodology · Statistics 2022-03-15 Dong Luo , Arya Ebadi , Yilun He , Kristen Emery , William Stafford Noble , Uri Keich

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

The positive false discovery rate (pFDR) is a useful overall measure of errors for multiple hypothesis testing, especially when the underlying goal is to attain one or more discoveries. Control of pFDR critically depends on how much…

Statistics Theory · Mathematics 2011-11-09 Zhiyi Chi

False discovery rate (FDR) is commonly used for correction for multiple testing in neuroimaging studies. However, when using two-tailed tests, making directional inferences about the results can lead to a vastly inflated error rate, even…

Methodology · Statistics 2025-12-16 Anderson M. Winkler , Paul A. Taylor , Thomas E. Nichols , Chris Rorden

This paper studies the classical problem of estimating the locations of signal occurrences in a noisy measurement. Based on a multiple hypothesis testing scheme, we design a K-sample statistical test to control the false discovery rate…

Signal Processing · Electrical Eng. & Systems 2022-09-26 Uriel Shiterburd , Tamir Bendory , Amichai Painsky

Feature screening for ultrahigh-dimension, in general, proceeds with two essential steps. The first step is measuring and ranking the marginal dependence between response and covariates, and the second is determining the threshold. We…

Methodology · Statistics 2022-07-28 Linsui Deng , Yilin Zhang

This paper studies the estimation of high dimensional Gaussian graphical model (GGM). Typically, the existing methods depend on regularization techniques. As a result, it is necessary to choose the regularized parameter. However, the…

Methodology · Statistics 2013-06-06 Weidong Liu

Multiple testing is an important research area with widespread scientific applications, including in biology and neuroscience. Among popularly adopted multiple testing procedures, many are based on p-values or Local false discovery rate…

Methodology · Statistics 2025-06-26 Shenghao Qin , Bowen Gang , Yin Xia

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

False discovery rate (FDR) control methods are essential for voxel-wise multiple testing in neuroimaging data analysis, where hundreds of thousands or even millions of tests are conducted to detect brain regions associated with…

Machine Learning · Statistics 2025-05-30 Taehyo Kim , Qiran Jia , Mony J. de Leon , Hai Shu

Simultaneously performing variable selection and inference in high-dimensional regression models is an open challenge in statistics and machine learning. The increasing availability of vast amounts of variables requires the adoption of…

Methodology · Statistics 2025-05-08 Marco Molinari , Magne Thoresen

Multiple testing has been a popular topic in statistical research. Although vast works have been done, controlling the false discoveries remains a challenging task when the corresponding test statistics are dependent. Various methods have…

Statistics Theory · Mathematics 2022-07-05 Meng Mei , Tao Yu , Yuan Jiang

We consider problems where many, somewhat redundant, hypotheses are tested and we are interested in reporting the most precise rejections, with false discovery rate (FDR) control. This is the case, for example, when researchers are…

Methodology · Statistics 2024-04-23 Paula Gablenz , Chiara Sabatti

In many scientific settings there is a need for adaptive experimental design to guide the process of identifying regions of the search space that contain as many true positives as possible subject to a low rate of false discoveries (i.e.…

Machine Learning · Statistics 2020-08-18 Lalit Jain , Kevin Jamieson

We propose a new empirical Bayes method for covariate-assisted multiple testing with false discovery rate (FDR) control, where we model the local false discovery rate for each hypothesis as a function of both its covariates and p-value. Our…

Methodology · Statistics 2021-07-01 Patrick Chao , William Fithian
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