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Benjamini and Hochberg (1995) proposed the false discovery rate (FDR) as an alternative to the family-wise error rate in multiple testing problems, and proposed a procedure to control the FDR. For discrete data this procedure may be highly…

Methodology · Statistics 2014-01-28 Ruth Heller , Hadas Gur

Identifying areas where the signal is prominent is an important task in image analysis, with particular applications in brain mapping. In this work, we develop confidence regions for spatial excursion sets above and below a given level. We…

Methodology · Statistics 2025-04-18 Howon Ryu , Thomas Maullin-Sapey , Armin Schwartzman , Samuel Davenport

We propose sequential multiple testing procedures which control the false discover rate (FDR) or the positive false discovery rate (pFDR) under arbitrary dependence between the data streams. This is accomplished by "optimizing" an upper…

Methodology · Statistics 2024-11-27 Michael Hankin , Jay Bartroff

Multiple hypothesis testing with false discovery rate (FDR) control is a fundamental problem in statistical inference, with broad applications in genomics, drug screening, and outlier detection. In many such settings, researchers may have…

Methodology · Statistics 2026-02-19 Yonghoon Lee , Meshi Bashari , Edgar Dobriban , Yaniv Romano

In many modern applications, large-scale sensor networks are used to perform statistical inference tasks. In this paper, we propose Bayesian methods for multiple change-point detection using a sensor network in which a fusion center (FC)…

Information Theory · Computer Science 2023-07-19 Eyal Nitzan , Topi Halme , Visa Koivunen

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…

Computation · Statistics 2019-04-04 Guillermo Durand , Florian Junge , Sebastian Döhler , Etienne Roquain

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.…

Machine Learning · Statistics 2020-10-22 Wanrong Zhang , Gautam Kamath , Rachel Cummings

Multiple hypothesis testing is a fundamental problem in high dimensional inference, with wide applications in many scientific fields. In genome-wide association studies, tens of thousands of tests are performed simultaneously to find if any…

Methodology · Statistics 2010-12-21 Xu Han , Weijie Gu , Jianqing Fan

The introduction of the false discovery rate (FDR) by Benjamini and Hochberg has spurred a great interest in developing methodologies to control the FDR in various settings. The majority of existing approaches, however, address the FDR…

Methodology · Statistics 2016-06-09 Kasra Alishahi , Ahmad Reza Ehyaei , Ali Shojaie

Identifying signals that replicate across multiple studies is essential for establishing robust scientific evidence, yet existing methods for high-dimensional replicability analysis either rely on restrictive modeling assumptions, are…

Methodology · Statistics 2026-03-05 Haochen Lei , Yan Li , Hongyuan Cao

We propose a general and flexible procedure for testing multiple hypotheses about sequential (or streaming) data that simultaneously controls both the false discovery rate (FDR) and false nondiscovery rate (FNR) under minimal assumptions…

Methodology · Statistics 2019-01-14 Jay Bartroff , Jinlin Song

Analyzing large-scale, multi-experiment studies requires scientists to test each experimental outcome for statistical significance and then assess the results as a whole. We present Black Box FDR (BB-FDR), an empirical-Bayes method for…

Machine Learning · Statistics 2018-06-11 Wesley Tansey , Yixin Wang , David M. Blei , Raul Rabadan

We consider statistical hypothesis testing simultaneously over a fairly general, possibly uncountably infinite, set of null hypotheses, under the assumption that a suitable single test (and corresponding $p$-value) is known for each…

Methodology · Statistics 2014-02-10 Gilles Blanchard , Sylvain Delattre , Etienne Roquain

Despite the popularity of the false discovery rate (FDR) as an error control metric for large-scale multiple testing, its close Bayesian counterpart the local false discovery rate (lfdr), defined as the posterior probability that a…

Methodology · Statistics 2023-09-22 Jake A. Soloff , Daniel Xiang , William Fithian

Gaussian graphical models emerge in a wide range of fields. They model the statistical relationships between variables as a graph, where an edge between two variables indicates conditional dependence. Unfortunately, well-established…

Machine Learning · Statistics 2024-01-19 Taulant Koka , Jasin Machkour , Michael Muma

We propose a new method to learn the structure of a Gaussian graphical model with finite sample false discovery rate control. Our method builds on the knockoff framework of Barber and Cand\`{e}s for linear models. We extend their approach…

Methodology · Statistics 2021-04-20 Jinzhou Li , Marloes H. Maathuis

We introduce CatNet, an algorithm that effectively controls False Discovery Rate (FDR) and selects significant features in LSTM. CatNet employs the derivative of SHAP values to quantify the feature importance, and constructs a vector-formed…

Machine Learning · Statistics 2026-05-08 Jiaan Han , Junxiao Chen , Yanzhe Fu

In the high dimensional regression analysis when the number of predictors is much larger than the sample size, an important question is to select the important variable which are relevant to the response variable of interest. Variable…

Methodology · Statistics 2023-01-09 Pengsheng Ji , Zhigen Zhao

In this paper, we address the normal mean inference problem, which involves testing multiple means of normal random variables with heteroscedastic variances. Most existing empirical Bayes methods for this setting are developed under…

Methodology · Statistics 2026-01-01 Kwangok Seo , Johan Lim , Kaiwen Wang , Dohwan Park , Shota Katayama , Xinlei Wang

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…

Methodology · Statistics 2026-03-03 Sarah Organ , Toby Kenney , Hong Gu
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