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In many applications, the process of identifying a specific feature of interest often involves testing multiple hypotheses for their joint statistical significance. Examples include mediation analysis which simultaneously examines the…

Methodology · Statistics 2023-05-30 Linsui Deng , Kejun He , Xianyang Zhang

The identification of the dependent components in multiple data sets is a fundamental problem in many practical applications. The challenge in these applications is that often the data sets are high-dimensional with few observations or…

Methodology · Statistics 2023-06-02 Martin Gölz , Tanuj Hasija , Michael Muma , Abdelhak M. Zoubir

In the online false discovery rate (FDR) problem, one observes a possibly infinite sequence of $p$-values $P_1,P_2,\dots$, each testing a different null hypothesis, and an algorithm must pick a sequence of rejection thresholds…

Methodology · Statistics 2019-07-12 Aaditya Ramdas , Tijana Zrnic , Martin Wainwright , Michael Jordan

Controlling the false discovery rate (FDR) is a critical challenge in large-scale data analysis, particularly in the presence of outliers. A common practice involves imposing a Student-$t$ distribution to eliminate the influence of…

Methodology · Statistics 2026-04-01 Yoshiko Hayashi

There is recent interest in estimating the false discovery rate (FDR) with published p-values. However, there is little formal research that addresses the manner and extent to which the presumed selection, or publication, bias model impacts…

Methodology · Statistics 2026-03-03 Tianyu Cao , Sangyoon Yi , Joshua Habiger

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…

Methodology · Statistics 2026-04-28 Yujia Wu , Panxu Yuan , Binyan Jiang

Motivation: In microarray analysis, special consideration must be given to the issues of multiple statistical tests and typically p-values are adjusted to control family-wise error rate (FWER) or false discovery rate (FDR). FDR metrics have…

Quantitative Methods · Quantitative Biology 2007-05-23 Rishi L. Khan , Rajanikanth Vadigepalli , Guang Gao , James S. Schwaber

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…

Statistics Theory · Mathematics 2020-05-11 Max Rabinovich , Michael I. Jordan , Martin J. Wainwright

The concept of $k$-FWER has received much attention lately as an appropriate error rate for multiple testing when one seeks to control at least $k$ false rejections, for some fixed $k\ge 1$. A less conservative notion, the $k$-FDR, has been…

Statistics Theory · Mathematics 2009-06-18 Sanat K. Sarkar , Wenge Guo

We study online multiple testing with feedback, where decisions are made sequentially and the true state of the hypothesis is revealed after the decision has been made, either instantly or with a delay. We propose GAIF, a feedback-enhanced…

Methodology · Statistics 2026-04-14 Lin Lu , Yuyang Huo , Haojie Ren , Zhaojun Wang , Changliang Zou

High-dimensional sparse generalized linear models (GLMs) have emerged in the setting that the number of samples and the dimension of variables are large, and even the dimension of variables grows faster than the number of samples. False…

Statistics Theory · Mathematics 2021-05-04 Chang Cui , Jinzhu Jia , Yijun Xiao , Huiming Zhang

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…

Methodology · Statistics 2025-08-06 Hongjian Wang , Sanjit Dandapanthula , Aaditya Ramdas

In many large scale multiple testing applications, the hypotheses often have a known graphical structure, such as gene ontology in gene expression data. Exploiting this graphical structure in multiple testing procedures can improve power as…

Methodology · Statistics 2018-12-04 Wenge Guo , Gavin Lynch , Joseph P. Romano

The complexity of deep neural networks (DNNs) makes them powerful but also makes them challenging to interpret, hindering their applicability in error-intolerant domains. Existing methods attempt to reason about the internal mechanism of…

Machine Learning · Computer Science 2023-09-28 Winston Chen , William Stafford Noble , Yang Young Lu

In contemporary research, online error control is often required, where an error criterion, such as familywise error rate (FWER) or false discovery rate (FDR), shall remain under control while testing an a priori unbounded sequence of…

Methodology · Statistics 2024-09-13 Lasse Fischer , Marta Bofill Roig , Werner Brannath

This paper proposes novel inferential procedures for discovering the network Granger causality in high-dimensional vector autoregressive models. In particular, we mainly offer two multiple testing procedures designed to control the false…

Methodology · Statistics 2024-11-14 Yoshimasa Uematsu , Takashi Yamagata

We present false discovery rate smoothing, an empirical-Bayes method for exploiting spatial structure in large multiple-testing problems. FDR smoothing automatically finds spatially localized regions of significant test statistics. It then…

Methodology · Statistics 2016-11-15 Wesley Tansey , Oluwasanmi Koyejo , Russell A. Poldrack , James G. Scott

This analysis report presents an in-depth exploration of multiple hypothesis testing in the context of Genomics RNA-seq differential expression (DE) analysis, with a primary focus on techniques designed to control the false discovery rate…

Methodology · Statistics 2025-07-01 Shyam Gupta

Crowdsourcing has arisen as a new problem-solving paradigm for tasks that are difficult for computers but easy for humans. However, since the answers collected from the recruited participants (workers) may contain sensitive information,…

Cryptography and Security · Computer Science 2018-08-27 Haipei Sun , Boxiang Dong , Hui , Wang , Ting Yu , Zhan Qin

This work concerns controlling the false discovery rate (FDR) in networks under communication constraints. We present sample-and-forward, a flexible and communication-efficient version of the Benjamini-Hochberg (BH) procedure for multihop…

Signal Processing · Electrical Eng. & Systems 2023-05-17 Mehrdad Pournaderi , Yu Xiang
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