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False discovery rate (FDR) has been widely used as an error measure in large scale multiple testing problems, but most research in the area has been focused on procedures for controlling the FDR based on independent test statistics or the…

统计方法学 · 统计学 2009-09-29 Weihua Tang , Cun-Hui Zhang

False discovery rate (FDR) is a cornerstone of modern multiple testing. However, it often fails to guarantee the reliability of "marginal" discoveries that lie at the boundary of the rejection set, which are often crucial in high-precision…

统计方法学 · 统计学 2026-05-12 Yifan Zhang , Wentao Zhang , Changliang Zou , Haojie Ren

Controlling the false discovery rate (FDR) in variable selection becomes challenging when predictors are correlated, as existing methods often exclude all members of correlated groups and consequently perform poorly for prediction. We…

统计方法学 · 统计学 2026-03-03 Sarah Organ , Toby Kenney , Hong Gu

Multiple hypothesis testing is a central topic in statistics, but despite abundant work on the false discovery rate (FDR) and the corresponding Type-II error concept known as the false non-discovery rate (FNR), a fine-grained understanding…

统计理论 · 数学 2017-05-17 Maxim Rabinovich , Aaditya Ramdas , Michael I. Jordan , Martin J. Wainwright

Barber and Cand\`es (2015) control of the FDR in feature selection relies on estimating the FDR by the number of knockoff wins +1 divided by the number of original wins. We study the necessity of the +1 in general settings.

统计方法学 · 统计学 2024-12-10 Andrew Rajchert , Uri Keich

We describe a series of algorithms that efficiently implement Gaussian model-X knockoffs to control the false discovery rate on large scale feature selection problems. Identifying the knockoff distribution requires solving a large scale…

机器学习 · 计算机科学 2020-06-17 Armin Askari , Quentin Rebjock , Alexandre d'Aspremont , Laurent El Ghaoui

This paper introduces the sequential CRT, which is a variable selection procedure that combines the conditional randomization test (CRT) and Selective SeqStep+. Valid p-values are constructed via the flexible CRT, which are then ordered and…

统计方法学 · 统计学 2022-04-08 Shuangning Li , Emmanuel J. Candès

The simultaneous analysis of many statistical tests is ubiquitous in applications. Perhaps the most popular error rate used for avoiding type one error inflation is the false discovery rate (FDR). However, most theoretical and software…

统计计算 · 统计学 2019-04-04 Guillermo Durand , Florian Junge , Sebastian Döhler , Etienne Roquain

Knockoffs provide a general framework for controlling the false discovery rate when performing variable selection. Much of the Knockoffs literature focuses on theoretical challenges and we recognize a need for bringing some of the current…

统计方法学 · 统计学 2020-10-28 Matthias Kormaksson , Luke J. Kelly , Xuan Zhu , Sibylle Haemmerle , Luminita Pricop , David Ohlssen

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

This paper proposes new methodologies for conducting practical differentially private (DP) estimation and inference in high-dimensional linear regression. We first introduce a DP Bayesian Information Criterion (DP-BIC) for selecting the…

统计方法学 · 统计学 2026-04-13 Zhanrui Cai , Sai Li , Xintao Xia , Linjun Zhang

We develop a flexible feature selection framework based on deep neural networks that approximately controls the false discovery rate (FDR), a measure of Type-I error. The method applies to architectures whose first layer is fully connected.…

机器学习 · 统计学 2026-02-10 Kazuma Sawaya

In hypothesis testing, a false discovery occurs when a hypothesis is incorrectly rejected due to noise in the sample. When adaptively testing multiple hypotheses, the probability of a false discovery increases as more tests are performed.…

机器学习 · 统计学 2020-10-22 Wanrong Zhang , Gautam Kamath , Rachel Cummings

We develop an extension of the Knockoff Inference procedure, introduced by Barber and Candes (2015). This new method, called Aggregation of Multiple Knockoffs (AKO), addresses the instability inherent to the random nature of Knockoff-based…

To find interesting items in genome-wide association studies or next generation sequencing data, a crucial point is to design powerful false discovery rate (FDR) controlling procedures that suitably combine discrete tests (typically…

统计理论 · 数学 2017-09-18 Sebastian Döhler , Guillermo Durand , Etienne Roquain

Predictive modeling often uses black box machine learning methods, such as deep neural networks, to achieve state-of-the-art performance. In scientific domains, the scientist often wishes to discover which features are actually important…

机器学习 · 统计学 2020-08-03 Mukund Sudarshan , Wesley Tansey , Rajesh Ranganath

Differential Privacy (DP) is a probabilistic framework that protects privacy while preserving data utility. To protect the privacy of the individuals in the dataset, DP requires adding a precise amount of noise to a statistic of interest;…

统计计算 · 统计学 2025-05-05 Yu-Wei Chen , Pranav Sanghi , Jordan Awan

False discovery rate (FDR) is a common way to control the number of false discoveries in multiple testing. There are a number of approaches available for controlling FDR. However, for functional test statistics, which are discretized into…

统计方法学 · 统计学 2024-12-03 Tomáš Mrkvička , Mari Myllymäki

We propose the Terminating-Random Experiments (T-Rex) selector, a fast variable selection method for high-dimensional data. The T-Rex selector controls a user-defined target false discovery rate (FDR) while maximizing the number of selected…

统计方法学 · 统计学 2024-03-14 Jasin Machkour , Michael Muma , Daniel P. Palomar

We propose new methods to obtain simultaneous false discovery proportion bounds for knockoff-based approaches. We first investigate an approach based on Janson and Su's $k$-familywise error rate control method and interpolation. We then…

统计方法学 · 统计学 2024-02-27 Jinzhou Li , Marloes H. Maathuis , Jelle J. Goeman