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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…

机器学习 · 统计学 2015-11-10 Weijie Su , Junyang Qian , Linxi Liu

This paper revisits the following open question in simultaneous testing of multivariate normal means against two-sided alternatives: Can the method of Benjamini and Hochberg (BH, 1995) control the false discovery rate (FDR) without imposing…

统计理论 · 数学 2023-04-12 Sanat K. Sarkar

Differentially private multiple testing procedures can protect the information of individuals used in hypothesis tests while guaranteeing a small fraction of false discoveries. In this paper, we propose a differentially private adaptive FDR…

机器学习 · 统计学 2023-06-01 Xintao Xia , Zhanrui Cai

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

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

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

Applying Benjamini and Hochberg (B-H) method to multiple Student's $t$ tests is a popular technique in gene selection in microarray data analysis. Because of the non-normality of the population, the true p-values of the hypothesis tests are…

统计方法学 · 统计学 2013-10-17 Weidong Liu , Qi-Man Shao

We propose a general and flexible procedure for testing multiple hypotheses about sequential (or streaming) data that simultaneously controls both the false discovery rate (FDR) and false nondiscovery rate (FNR) under minimal assumptions…

统计方法学 · 统计学 2019-01-14 Jay Bartroff , Jinlin Song

In modern scientific experiments, we frequently encounter data that have large dimensions, and in some experiments, such high dimensional data arrive sequentially rather than full data being available all at a time. We develop multiple…

统计方法学 · 统计学 2023-06-09 Rahul Roy , Shyamal K. De , Subir Kumar Bhandari

Multiple hypotheses testing is a core problem in statistical inference and arises in almost every scientific field. Given a sequence of null hypotheses $\mathcal{H}(n) = (H_1,..., H_n)$, Benjamini and Hochberg…

统计方法学 · 统计学 2015-03-05 Adel Javanmard , Andrea Montanari

When testing a number of statistical hypotheses using data from location families, it is often useful to control the false discovery rate (FDR) not just for hypotheses of the null values but also of other parameter values that are deemed…

统计方法学 · 统计学 2026-05-12 Zijun Gao , Wenjie Hu , Qingyuan Zhao

Most anomaly detection systems output scores rather than calibrated decisions, leaving practitioners to choose thresholds heuristically and without clear statistical interpretation. Conformal anomaly detection addresses this limitation by…

机器学习 · 统计学 2026-05-14 Oliver Hennhöfer , Maximilian Kirsch , Christine Preisach

With the rapid growth of crowdsourcing platforms it has become easy and relatively inexpensive to collect a dataset labeled by multiple annotators in a short time. However due to the lack of control over the quality of the annotators, some…

机器学习 · 统计学 2016-06-17 Qianqian Xu , Jiechao Xiong , Xiaochun Cao , Yuan Yao

The Benjamini-Hochberg (BH) procedure is widely used to control the false detection rate (FDR) in multiple testing. Applications of this control abound in drug discovery, forensics, anomaly detection, and, in particular, machine learning,…

统计理论 · 数学 2025-01-08 Louis L Chen , Roberto Szechtman , Matan Seri

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…

统计理论 · 数学 2023-02-22 Jingxuan Liang , Hong Chen , Xuelin Zhang , Weifu Li , Xin Tang

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 2011-11-16 Jianqing Fan , Xu Han , Weijie Gu

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…

统计方法学 · 统计学 2025-05-08 Marco Molinari , Magne Thoresen

This paper presents a systematic framework for controlling false discovery rate in learning time-varying correlation networks from high-dimensional, non-linear, non-Gaussian and non-stationary time series with an increasing number of…

统计方法学 · 统计学 2025-12-16 Bufan Li , Lujia Bai , Weichi Wu

In modern multiple hypothesis testing, the availability of covariate information alongside the primary test statistics has motivated the development of more powerful and adaptive inference methods. However, most existing approaches rely on…

统计方法学 · 统计学 2025-11-20 Taehyoung Kim , Seohwa Hwang , Junyong Park

False discovery rates (FDR) are typically estimated from a mixture of a null and an alternative distribution. Here, we study a complementary approach proposed by Rice and Spiegelhalter (2008) that uses as primary quantities the null model…

统计方法学 · 统计学 2011-08-03 Bernd Klaus , Korbinian Strimmer