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相关论文: Controlling the False Discovery Rate via Competiti…

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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

In the online multiple testing problem, p-values corresponding to different null hypotheses are observed one by one, and the decision of whether or not to reject the current hypothesis must be made immediately, after which the next p-value…

统计方法学 · 统计学 2017-10-03 Aaditya Ramdas , Fanny Yang , Martin J. Wainwright , Michael I. Jordan

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 knockoff filter, recently developed by Barber and Candes, is an effective procedure to perform variable selection with a controlled false discovery rate (FDR). We propose a private version of the knockoff filter by incorporating…

机器学习 · 统计学 2022-02-01 Mehrdad Pournaderi , Yu Xiang

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…

统计方法学 · 统计学 2023-11-16 Yang Cao , Xinwei Sun , Yuan Yao

In multiple hypothesis testing, it is well known that adaptive procedures can enhance power via incorporating information about the number of true nulls present. Under independence, we establish that two adaptive false discovery rate (FDR)…

统计方法学 · 统计学 2024-01-25 Dennis Leung , Ninh Tran

In the context of high-dimensional Gaussian linear regression for ordered variables, we study the variable selection procedure via the minimization of the penalized least-squares criterion. We focus on model selection where the penalty…

统计理论 · 数学 2024-07-01 Perrine Lacroix , Marie-Laure Martin

A previously proved theorem gives sufficient conditions for an estimator of the false discovery rate (FDR) to conservatively converge to the FDR with probability 1 as the number of hypothesis tests increases, even for small sample sizes. It…

基因组学 · 定量生物学 2007-05-23 David R. Bickel

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

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

The false discovery rate (FDR) and false nondiscovery rate (FNDR) have received considerable attention in the literature on multiple testing. These performance measures are also appropriate for classification, and in this work we develop…

统计理论 · 数学 2009-01-28 Clayton Scott , Gowtham Bellala , Rebecca Willett

This paper is a review of the popular Benjamini Hochberg Method and other related useful methods of Multiple Hypothesis testing. This is written with the purpose of serving a short but complete easy to understand review of the main article…

统计方法学 · 统计学 2014-06-30 Anish Acharya

Testing for differences in features between clusters in various applications often leads to inflated false positives when practitioners use the same dataset to identify clusters and then test features, an issue commonly known as ``double…

统计方法学 · 统计学 2024-10-10 Lijun Wang , Yingxin Lin , Hongyu Zhao

This paper proposes a model-free and data-adaptive feature screening method for ultra-high dimensional datasets. The proposed method is based on the projection correlation which measures the dependence between two random vectors. This…

统计方法学 · 统计学 2021-02-16 Wanjun Liu , Yuan Ke , Jingyuan Liu , Runze Li

The knockoff filter of Barber and Candes (arXiv:1404.5609) is a flexible framework for multiple testing in supervised learning models, based on introducing synthetic predictor variables to control the false discovery rate (FDR). Using the…

统计方法学 · 统计学 2024-11-26 Yixiang Luo , William Fithian , Lihua Lei

Controlled variable selection is an important analytical step in various scientific fields, such as brain imaging or genomics. In these high-dimensional data settings, considering too many variables leads to poor models and high costs,…

统计方法学 · 统计学 2023-10-17 Alexandre Blain , Bertrand Thirion , Olivier Grisel , Pierre Neuvial

We consider the problem of identifying whether findings replicate from one study of high dimension to another, when the primary study guides the selection of hypotheses to be examined in the follow-up study as well as when there is no…

统计方法学 · 统计学 2014-01-28 Marina Bogomolov , Ruth Heller

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

The local false discovery rate (lfdr) of Efron et al. (2001) enjoys major conceptual and decision-theoretic advantages over the false discovery rate (FDR) as an error criterion in multiple testing, but is only well-defined in Bayesian…

统计理论 · 数学 2025-02-25 Daniel Xiang , Jake A. Soloff , William Fithian

We propose the use of a new false discovery rate (FDR) controlling procedure as a model selection penalized method, and compare its performance to that of other penalized methods over a wide range of realistic settings: nonorthogonal design…

应用统计 · 统计学 2009-05-19 Yoav Benjamini , Yulia Gavrilov