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We develop a flexible feature selection framework based on deep neural networks that approximately controls the false discovery rate (FDR), a measure of Type-I error. The method applies to architectures whose first layer is fully connected.…

机器学习 · 统计学 2026-02-10 Kazuma Sawaya

This paper presents a powerful methodology for flexible full-data nonparametric novelty detection that offers distribution-free false discovery rate (FDR) control guarantees. Building on the full conformal inference framework and the…

统计方法学 · 统计学 2026-04-21 Junu Lee , Ilia Popov , Zhimei Ren

Consider the problem of testing $s$ hypotheses simultaneously. The usual approach restricts attention to procedures that control the probability of even one false rejection, the familywise error rate (FWER). If $s$ is large, one might be…

统计理论 · 数学 2007-11-06 Joseph P. Romano , Michael Wolf

Multiple hypothesis testing, a situation when we wish to consider many hypotheses, is a core problem in statistical inference that arises in almost every scientific field. In this setting, controlling the false discovery rate (FDR), which…

统计理论 · 数学 2019-03-19 Shiyun Chen , Shiva Kasiviswanathan

Multiple testing is a fundamental problem in high-dimensional statistical inference. Although many methods have been proposed to control false discoveries, it is still a challenging task when the tests are correlated to each other. To…

统计理论 · 数学 2022-07-06 Meng Mei , Yuan Jiang

Multiple hypothesis testing is a fundamental problem in high dimensional inference, with wide applications in many scientific fields. In genome-wide association studies, tens of thousands of tests are performed simultaneously to find if any…

统计方法学 · 统计学 2010-12-21 Xu Han , Weijie Gu , Jianqing Fan

Inequalities are key tools to prove FDR control of a multiple test. The present paper studies upper and lower bounds for the FDR under various dependence structures of p-values, namely independence, reverse martingale dependence and…

统计理论 · 数学 2015-02-18 Philipp Heesen , Arnold Janssen

In large scale multiple testing problems, a two-class empirical Bayes approach can be used to control the false discovery rate (Fdr) for the entire array of hypotheses under study. A sample splitting step is incorporated to modify that…

统计计算 · 统计学 2019-12-13 Paramita Chakraborty , Chong Ma , John Grego , James Lynch

In many practical applications of multiple hypothesis testing using the False Discovery Rate (FDR), the given hypotheses can be naturally partitioned into groups, and one may not only want to control the number of false discoveries (wrongly…

统计方法学 · 统计学 2016-11-01 Rina Foygel Barber , Aaditya Ramdas

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.…

统计方法学 · 统计学 2020-12-08 Ruth Heller , Saharon Rosset

There are a number of ways to test for the absence/presence of a spatial signal in a completely observed fine-resolution image. One of these is a powerful nonparametric procedure called Enhanced False Discovery Rate (EFDR). A drawback of…

统计方法学 · 统计学 2020-10-20 Hsin-Cheng Huang , Noel Cressie , Andrew Zammit-Mangion , Guowen Huang

As datasets grow richer, an important challenge is to leverage the full features in the data to maximize the number of useful discoveries while controlling for false positives. We address this problem in the context of multiple hypotheses…

统计方法学 · 统计学 2017-11-21 Fei Xia , Martin J. Zhang , James Zou , David Tse

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;…

统计方法学 · 统计学 2026-05-19 Binyamin Perets , Shie Mannor

We propose sequential multiple testing procedures which control the false discover rate (FDR) or the positive false discovery rate (pFDR) under arbitrary dependence between the data streams. This is accomplished by "optimizing" an upper…

统计方法学 · 统计学 2024-11-27 Michael Hankin , Jay Bartroff

In a context of multiple hypothesis testing, we provide several new exact calculations related to the false discovery proportion (FDP) of step-up and step-down procedures. For step-up procedures, we show that the number of erroneous…

统计理论 · 数学 2011-06-29 Etienne Roquain , Fanny Villers

Benjamini and Hochberg (1995) proposed the false discovery rate (FDR) as an alternative to the family-wise error rate in multiple testing problems, and proposed a procedure to control the FDR. For discrete data this procedure may be highly…

统计方法学 · 统计学 2014-01-28 Ruth Heller , Hadas Gur

Testing composite null hypotheses arises in various applications, such as mediation and replicability analyses. The problem becomes more challenging in high-throughput experiments where tens of thousands of features are examined…

统计方法学 · 统计学 2025-04-29 Pengfei Lyu , Xianyang Zhang , Hongyuan Cao

The generalized linear models (GLM) have been widely used in practice to model non-Gaussian response variables. When the number of explanatory features is relatively large, scientific researchers are of interest to perform controlled…

统计方法学 · 统计学 2020-07-03 Chenguang Dai , Buyu Lin , Xin Xing , Jun S. Liu

Closed testing procedures are classically used for familywise error rate (FWER) control, but they can also be used to obtain simultaneous confidence bounds for the false discovery proportion (FDP) in all subsets of the hypotheses. In this…

统计方法学 · 统计学 2019-11-15 Jelle Goeman , Rosa Meijer , Thijmen Krebs , Aldo Solari

Controlling False Discovery Rate (FDR) while leveraging the side information of multiple hypothesis testing is an emerging research topic in modern data science. Existing methods rely on the test-level covariates while ignoring metrics…

机器学习 · 统计学 2022-10-10 Lin Qiu , Nils Murrugarra-Llerena , Vítor Silva , Lin Lin , Vernon M. Chinchilli