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High-dimensional feature selection is routinely required to balance statistical power with strict control of multiple-error metrics such as the k-Family-Wise Error Rate (k-FWER) and the False Discovery Proportion (FDP), yet some existing…

统计方法学 · 统计学 2026-03-03 Xuelin Zhang , Jingxuan Liang , Xinyue Liu , Hong Chen , Biqin Song

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 attempt to recover an $n$-dimensional vector observed in white noise, where $n$ is large and the vector is known to be sparse, but the degree of sparsity is unknown. We consider three different ways of defining sparsity of a vector:…

统计理论 · 数学 2007-06-13 Felix Abramovich , Yoav Benjamini , David L. Donoho , Iain M. Johnstone

We show that the control of the false discovery rate (FDR) for a multiple testing procedure is implied by two coupled simple sufficient conditions. The first one, which we call ``self-consistency condition'', concerns the algorithm itself,…

统计理论 · 数学 2008-10-21 Gilles Blanchard , Etienne Roquain

The recent e-Benjamini-Hochberg (e-BH) procedure for multiple hypothesis testing is known to control the false discovery rate (FDR) under arbitrary dependence between the input e-values. This paper points out an important subtlety when…

统计方法学 · 统计学 2025-08-06 Hongjian Wang , Sanjit Dandapanthula , Aaditya Ramdas

Large-scale multiple testing is a fundamental problem in high dimensional statistical inference. It is increasingly common that various types of auxiliary information, reflecting the structural relationship among the hypotheses, are…

统计方法学 · 统计学 2021-10-07 Hongyuan Cao , Jun Chen , Xianyang Zhang

Integrating data from multiple sources expands research opportunities at low cost. However, due to different data collection processes and privacy constraints, unique identifiers are unavailable. Record Linkage (RL) algorithms address this…

统计方法学 · 统计学 2025-10-07 Kayané Robach , Michel H. Hof , Mark A. van de Wiel

Algorithms that ensure reproducible findings from large-scale, high-dimensional data are pivotal in numerous signal processing applications. In recent years, multivariate false discovery rate (FDR) controlling methods have emerged,…

统计方法学 · 统计学 2024-01-31 Jasin Machkour , Michael Muma , Daniel P. Palomar

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

Penalized regression methods are an attractive tool for high-dimensional data analysis, but their widespread adoption has been hampered by the difficulty of applying inferential tools. In particular, the question "How reliable is the…

统计理论 · 数学 2026-05-13 Patrick Breheny

Conformal selection (CS) uses calibration data to identify test inputs whose unobserved outcomes are likely to satisfy a pre-specified minimal quality requirement, while controlling the false discovery rate (FDR). Existing methods fix the…

机器学习 · 计算机科学 2026-04-20 Meiyi Zhu , Osvaldo Simeone

This paper continues the line of research initiated in Liu et. al. (2016) on developing a novel framework for multiple testing of hypotheses grouped in a one-way classified form using hypothesis-specific local false discovery rates…

统计方法学 · 统计学 2022-11-22 Sanat K. Sarkar , Zhigen Zhao

In many applications of multiple hypothesis testing where more than one false rejection can be tolerated, procedures controlling error rates measuring at least $k$ false rejections, instead of at least one, for some fixed $k\ge 1$ can…

统计理论 · 数学 2008-12-18 Sanat K. Sarkar

In modern scientific research, the objective is often to identify which variables are associated with an outcome among a large class of potential predictors. This goal can be achieved by selecting variables in a manner that controls the the…

统计方法学 · 统计学 2023-10-10 Yushu Shi , Michael Martens

MaxT is a highly popular resampling-based multiple testing procedure, which controls the Familywise Error Rate (FWER) and is powerful under dependence. This paper generalizes maxT to what we term ``multi-resolution'' False Discovery…

统计方法学 · 统计学 2026-05-05 Jesse Hemerik

Effectively controlling the false discovery rate (FDR) in high-dimensional variable selection is a fundamental statistical problem that has garnered significant research interest. In this paper, we propose a novel, user-friendly, and…

统计方法学 · 统计学 2026-04-28 Yujia Wu , Panxu Yuan , Binyan Jiang

We develop a technique to improve the power of any e-value by a simple randomization involving one independent uniform random variable. Using this framework, we show that two procedures for false discovery rate (FDR) control -- the…

统计方法学 · 统计学 2025-12-15 Ziyu Xu , Aaditya Ramdas

The large bulk of work in multiple testing has focused on specifying procedures that control the false discovery rate (FDR), with relatively less attention being paid to the corresponding Type II error known as the false non-discovery rate…

统计理论 · 数学 2020-05-11 Max Rabinovich , Michael I. Jordan , Martin J. Wainwright

In this paper, a noisy version of the stochastic block model (NSBM) is introduced and we investigate the three following statistical inferences in this model: estimation of the model parameters, clustering of the nodes and identification of…

统计理论 · 数学 2019-07-25 Tabea Rebafka , Etienne Roquain , Fanny Villers

Many approaches for multiple testing begin with the assumption that all tests in a given study should be combined into a global false-discovery-rate analysis. But this may be inappropriate for many of today's large-scale screening problems,…

统计方法学 · 统计学 2014-06-10 James G. Scott , Ryan C. Kelly , Matthew A. Smith , Pengcheng Zhou , Robert E. Kass
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