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Some effort has been undertaken over the last decade to provide conditions for the control of the false discovery rate by the linear step-up procedure (LSU) for testing $n$ hypotheses when test statistics are dependent. In this paper we…

Statistics Theory · Mathematics 2007-10-18 Helmut Finner , Thorsten Dickhaus , Markus Roters

We propose a novel multiple testing methodology for controlling the false discovery rate (FDR) in high-dimensional linear models that integrates model-X knockoff techniques with debiased penalized regression estimators. At the foundation of…

Methodology · Statistics 2026-03-17 Jinyuan Chang , Chenlong Li , Cheng Yong Tang , Zhengtian Zhu

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

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

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

The problem of large-scale spatial multiple testing is often encountered in various scientific research fields, where the signals are usually enriched on some regions while sparse on others. To integrate spatial structure information from…

Methodology · Statistics 2023-09-28 Pengfei Wang , Pengyu Yan , Canhui Li

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,…

Methodology · Statistics 2024-01-31 Jasin Machkour , Michael Muma , Daniel P. Palomar

This article proposes novel rules for false discovery rate control (FDRC) geared towards online anomaly detection in time series. Online FDRC rules allow to control the properties of a sequence of statistical tests. In the context of…

Machine Learning · Statistics 2021-12-07 Quentin Rebjock , Barış Kurt , Tim Januschowski , Laurent Callot

Consider the problem of testing multiple null hypotheses. A classical approach to dealing with the multiplicity problem is to restrict attention to procedures that control the familywise error rate ($FWER$), the probability of even one…

Statistics Theory · Mathematics 2007-06-13 Joseph P. Romano , Azeem M. Shaikh

The positive false discovery rate (pFDR) is a useful overall measure of errors for multiple hypothesis testing, especially when the underlying goal is to attain one or more discoveries. Control of pFDR critically depends on how much…

Statistics Theory · Mathematics 2011-11-09 Zhiyi Chi

Multivariate statistics are often available as well as necessary in hypothesis tests. We study how to use such statistics to control not only false discovery rate (FDR) but also positive FDR (pFDR) with good power. We show that FDR can be…

Statistics Theory · Mathematics 2008-05-21 Zhiyi Chi

Quantitative tools are increasingly appealing for decision support in healthcare, driven by the growing capabilities of advanced AI systems. However, understanding the predictive uncertainties surrounding a tool's output is crucial for…

Computer Vision and Pattern Recognition · Computer Science 2025-10-20 Roel Hulsman , Valentin Comte , Lorenzo Bertolini , Tobias Wiesenthal , Antonio Puertas Gallardo , Mario Ceresa

Out of the participants in a randomized experiment with anticipated heterogeneous treatment effects, is it possible to identify which subjects have a positive treatment effect? While subgroup analysis has received attention, claims about…

Methodology · Statistics 2024-05-14 Boyan Duan , Larry Wasserman , Aaditya Ramdas

The problem of selecting a handful of truly relevant variables in supervised machine learning algorithms is a challenging problem in terms of untestable assumptions that must hold and unavailability of theoretical assurances that selection…

Methodology · Statistics 2023-11-10 Mehdi Rostami , Olli Saarela

We consider a multiple hypothesis testing setting where the hypotheses are ordered and one is only permitted to reject an initial contiguous block, H_1,\dots,H_k, of hypotheses. A rejection rule in this setting amounts to a procedure for…

Statistics Theory · Mathematics 2015-03-25 Max Grazier G'Sell , Stefan Wager , Alexandra Chouldechova , Robert Tibshirani

This research deals with massive multiple hypothesis testing. First regarding multiple tests as an estimation problem under a proper population model, an error measurement called Erroneous Rejection Ratio (ERR) is introduced and related to…

Statistics Theory · Mathematics 2007-06-13 Cheng Cheng

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…

Methodology · Statistics 2026-03-03 Xuelin Zhang , Jingxuan Liang , Xinyue Liu , Hong Chen , Biqin Song

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…

Statistics Theory · Mathematics 2015-02-18 Philipp Heesen , Arnold Janssen

Consistency regularization-based methods are prevalent in semi-supervised learning (SSL) algorithms due to their exceptional performance. However, they mainly depend on domain-specific data augmentations, which are not usable in domains…

Machine Learning · Computer Science 2023-09-29 Matin Moezzi

The uncertainty quantification and error control of classifiers are crucial in many high-consequence decision-making scenarios. We propose a selective classification framework that provides an indecision option for any observations that…

Methodology · Statistics 2022-10-11 Bowen Gang , Yuantao Shi , Wenguang Sun