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The effective utilization of structural information in data while ensuring statistical validity poses a significant challenge in false discovery rate (FDR) analyses. Conformal inference provides rigorous theory for grounding complex machine…

Methodology · Statistics 2024-06-18 Zinan Zhao , Wenguang Sun

In 2015, Barber and Candes introduced a new variable selection procedure called the knockoff filter to control the false discovery rate (FDR) and prove that this method achieves exact FDR control. Inspired by the work of Barber and Candes…

Methodology · Statistics 2019-07-23 Jiajie Chen , Anthony Hou , Thomas Y. Hou

This paper studies the semi-supervised novelty detection problem where a set of "typical" measurements is available to the researcher. Motivated by recent advances in multiple testing and conformal inference, we propose AdaDetect, a…

Methodology · Statistics 2023-10-26 Ariane Marandon , Lihua Lei , David Mary , Etienne Roquain

In high dimensional variable selection problems, statisticians often seek to design multiple testing procedures that control the False Discovery Rate (FDR), while concurrently identifying a greater number of relevant variables. Model-X…

Statistics Theory · Mathematics 2023-07-25 Taejoo Ahn , Licong Lin , Song Mei

In many scenarios such as genome-wide association studies where dependences between variables commonly exist, it is often of interest to infer the interaction effects in the model. However, testing pairwise interactions among millions of…

Methodology · Statistics 2022-09-02 Jingyi Duan , Yang Ning , Xi Chen , Yong Chen

Motivation: While the analysis of a single RNA sequencing (RNAseq) dataset has been well described in the literature, modern research workflows often have additional complexity in that related RNAseq experiments are performed sequentially…

Quantitative Methods · Quantitative Biology 2022-06-07 Lathan Liou , Milena Hornburg , David S. Robertson

Differentially private multiple testing procedures can protect the information of individuals used in hypothesis tests while guaranteeing a small fraction of false discoveries. In this paper, we propose a differentially private adaptive FDR…

Machine Learning · Statistics 2023-06-01 Xintao Xia , Zhanrui Cai

Online testing procedures assume that hypotheses are observed in sequence, and allow the significance thresholds for upcoming tests to depend on the test statistics observed so far. Some of the most popular online methods include alpha…

Methodology · Statistics 2022-02-11 Aaron Fisher

This paper presents a powerful methodology for flexible full-data nonparametric novelty detection that offers distribution-free false discovery rate (FDR) control guarantees. Building on the full conformal inference framework and the…

Methodology · Statistics 2026-04-21 Junu Lee , Ilia Popov , Zhimei Ren

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 large scale multiple testing, the use of an empirical null distribution rather than the theoretical null distribution can be critical for correct inference. This paper proposes a ``mode matching'' method for fitting an empirical null…

Applications · Statistics 2009-01-27 Armin Schwartzman

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

Distribution-free predictive inference beyond the construction of prediction sets has gained a lot of interest in recent applications. One such application is the selection task, where the objective is to design a reliable selection rule to…

Methodology · Statistics 2025-01-07 Yonghoon Lee , Zhimei Ren

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

Controlling the False Discovery Rate (FDR) is critical for reproducible variable selection, especially given the prevalence of complex predictive modeling. The recent Split Knockoff method, an extension of the canonical Knockoffs framework,…

Methodology · Statistics 2025-09-05 Yang Cao , Hangyu Lin , Xinwei Sun , Yuan Yao

A systematic multiple hypothesis testing approach is applied to the search for astrophysical sources of high energy neutrinos. The method is based on the maximisation of the detection power maintaining the control of the confidence level of…

Instrumentation and Methods for Astrophysics · Physics 2010-11-24 Bruny Baret , Mathieu Labare , Daniel Bertrand

Conformal methods provide prediction sets for outcomes with confidence guarantees. We study their use in a selective inference setting, where inference is performed only when the prediction set is informative. The analyst may consider as…

Methodology · Statistics 2026-05-22 Israela Solomon , Etienne Roquain , Saharon Rosset , Ruth Heller

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…

Machine Learning · Computer Science 2026-04-20 Meiyi Zhu , Osvaldo Simeone

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

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…

Methodology · Statistics 2014-06-30 Anish Acharya