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The False Discovery Rate (FDR) is a commonly used type I error rate in multiple testing problems. It is defined as the expected False Discovery Proportion (FDP), that is, the expected fraction of false positives among rejected hypotheses.…

Statistics Theory · Mathematics 2013-10-04 Pierre Neuvial

In high-dimensional data analysis, such as financial index tracking or biomedical applications, it is crucial to select the few relevant variables while maintaining control over the false discovery rate (FDR). In these applications, strong…

Portfolio Management · Quantitative Finance 2024-01-31 Jasin Machkour , Daniel P. Palomar , Michael Muma

This paper studies the distributed conditional feature screening for massive data with ultrahigh-dimensional features. Specifically, three distributed partial correlation feature screening methods (SAPS, ACPS and JDPS methods) are firstly…

Methodology · Statistics 2024-03-12 Naiwen Pang , Xiaochao Xia

Genomics biobanks are information treasure troves with thousands of phenotypes (e.g., diseases, traits) and millions of single nucleotide polymorphisms (SNPs). The development of methodologies that provide reproducible discoveries is…

Methodology · Statistics 2024-10-08 Jasin Machkour , Michael Muma , Daniel P. Palomar

A new statistical procedure (Model-X \cite{candes2018}) has provided a way to identify important factors using any supervised learning method controlling for FDR. This line of research has shown great potential to expand the horizon of…

Methodology · Statistics 2018-10-01 Ying Liu , Cheng Zheng

Multiple testing adjustments, such as the Benjamini and Hochberg (1995) step-up procedure for controlling the false discovery rate (FDR), are typically applied to families of tests that control significance level in the classical sense: for…

Methodology · Statistics 2025-05-19 Timothy B. Armstrong

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…

Statistics Theory · Mathematics 2008-12-18 Sanat K. Sarkar

The topological gap protocol (TGP) is a statistical test designed to identify a topological phase with high confidence and without human bias. It is used to determine a promising parameter regime for operating topological qubits. The…

Mesoscale and Nanoscale Physics · Physics 2025-04-21 Morteza Aghaee , Zulfi Alam , Mariusz Andrzejczuk , Andrey E. Antipov , Mikhail Astafev , Amin Barzegar , Bela Bauer , Jonathan Becker , Umesh Kumar Bhaskar , Alex Bocharov , Srini Boddapati , David Bohn , Jouri Bommer , Leo Bourdet , Samuel Boutin , Benjamin J. Chapman , Sohail Chatoor , Anna Wulff Christensen , Patrick Codd , William S. Cole , Paul Cooper , Fabiano Corsetti , Ajuan Cui , Andreas Ekefjärd , Saeed Fallahi , Luca Galletti , Geoff Gardner , Deshan Govender , Flavio Griggio , Ruben Grigoryan , Sebastian Grijalva , Sergei Gronin , Jan Gukelberger , Marzie Hamdast , Esben Bork Hansen , Sebastian Heedt , Samantha Ho , Laurens Holgaard , Kevin Van Hoogdalem , Jinnapat Indrapiromkul , Henrik Ingerslev , Lovro Ivancevic , Thomas Jensen , Jaspreet Jhoja , Jeffrey Jones , Konstantin V. Kalashnikov , Ray Kallaher , Rachpon Kalra , Farhad Karimi , Torsten Karzig , Maren Elisabeth Kloster , Christina Knapp , Jonne Koski , Pasi Kostamo , Tom Laeven , Gijs de Lange , Thorvald Larsen , Jason Lee , Kyunghoon Lee , Grant Leum , Kongyi Li , Tyler Lindemann , Matthew Looij , Marijn Lucas , Roman Lutchyn , Morten Hannibal Madsen , Nash Madulid , Michael Manfra , Signe Brynold Markussen , Esteban Martinez , Marco Mattila , Robert McNeil , Ryan V. Mishmash , Gopakumar Mohandas , Christian Mollgaard , Michiel de Moor , Trevor Morgan , George Moussa , Chetan Nayak , William Hvidtfelt Padkær Nielsen , Jens Hedegaard Nielsen , Mike Nystrom , Eoin O'Farrell , Keita Otani , Karl Petersson , Luca Petit , Dima Pikulin , Mohana Rajpalke , Alejandro Alcaraz Ramirez , Katrine Rasmussen , David Razmadze , Yuan Ren , Ken Reneris , Ivan A. Sadovskyy , Lauri Sainiemi , Juan Carlos Estrada Saldaña , Irene Sanlorenzo , Emma Schmidgall , Cristina Sfiligoj , Sarat Sinha , Thomas Soerensen , Patrick Sohr , Tomaš Stankevič , Lieuwe Stek , Eric Stuppard , Henri Suominen , Judith Suter , Sam Teicher , Nivetha Thiyagarajah , Raj Tholapi , Mason Thomas , Emily Toomey , Josh Tracy , Michelle Turley , Shivendra Upadhyay , Ivan Urban , Dmitrii V. Viazmitinov , Dominik Vogel , John Watson , Alex Webster , Joseph Weston , Georg W. Winkler , David J. Van Woerkom , Brian Paquelet Wütz , Chung Kai Yang , Emrah Yucelen , Jesús Herranz Zamorano , Roland Zeisel , Guoji Zheng , Justin Zilke

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

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 work studies distributed multiple testing with false discovery rate (FDR) control in the presence of Byzantine attacks, where an adversary captures a fraction of the nodes and corrupts their reported p-values. We focus on two baseline…

Signal Processing · Electrical Eng. & Systems 2025-04-28 Daofu Zhang , Mehrdad Pournaderi , Yu Xiang , Pramod Varshney

In the context of multiple hypotheses testing, the proportion $\pi_0$ of true null hypotheses in the pool of hypotheses to test often plays a crucial role, although it is generally unknown a priori. A testing procedure using an implicit or…

Statistics Theory · Mathematics 2009-02-17 Gilles Blanchard , Etienne Roquain

False discovery rate (FDR) has been a key metric for error control in multiple hypothesis testing, and many methods have developed for FDR control across a diverse cross-section of settings and applications. We develop a closure principle…

Methodology · Statistics 2025-09-04 Ziyu Xu , Lasse Fischer , Aaditya Ramdas

Modern applications of conformal inference to multiple testing problems, such as outlier detection and candidate selection, often involve selecting test samples whose conformal p-values fall below a threshold. The quality of such methods is…

Methodology · Statistics 2026-05-21 Ziang Song , Ying Jin , Emmanuel J. Candès

In a one-way analysis-of-variance (ANOVA) model, the number of all pairwise comparisons can be large even when there are only a moderate number of groups. Motivated by this, we consider a regime with a growing number of groups, and prove…

Statistics Theory · Mathematics 2023-12-12 Weidong Liu , Dennis Leung , Qiman Shao

When testing multiple hypotheses, a suitable error rate should be controlled even in exploratory trials. Conventional methods to control the False Discovery Rate (FDR) assume that all p-values are available at the time point of test…

Methodology · Statistics 2021-12-21 Sonja Zehetmayer , Martin Posch , Franz Koenig

When hypotheses are tested in a stream and real-time decision-making is needed, online sequential hypothesis testing procedures are needed. Furthermore, these hypotheses are commonly partitioned into groups by their nature. For example, the…

Methodology · Statistics 2025-06-05 Runqiu Wang , Ran Dai

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…

Methodology · Statistics 2026-05-12 Zijun Gao , Wenjie Hu , Qingyuan Zhao

Voxel-based multiple testing is widely used in neuroimaging data analysis. Traditional false discovery rate (FDR) control methods often ignore the spatial dependence among the voxel-based tests and thus suffer from substantial loss of…

Machine Learning · Statistics 2024-05-06 Taehyo Kim , Hai Shu , Qiran Jia , Mony J. de Leon

This paper studies the adversarial robustness of conformal novelty detection. In particular, we focus on two powerful learning-based frameworks that come with finite-sample false discovery rate (FDR) control: one is AdaDetect (by Marandon…

Machine Learning · Statistics 2026-04-03 Daofu Zhang , Mehrdad Pournaderi , Hanne M. Clifford , Yu Xiang , Pramod K. Varshney