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This paper explores the multiple testing problem for sparse high-dimensional data with binary outcomes. We propose novel empirical Bayes multiple testing procedures based on a spike-and-slab posterior and then evaluate their performance in…

Statistics Theory · Mathematics 2025-06-16 Yu-Chien Bo Ning

Feature screening for ultrahigh-dimension, in general, proceeds with two essential steps. The first step is measuring and ranking the marginal dependence between response and covariates, and the second is determining the threshold. We…

Methodology · Statistics 2022-07-28 Linsui Deng , Yilin Zhang

We propose a new method, semi-penalized inference with direct false discovery rate control (SPIDR), for variable selection and confidence interval construction in high-dimensional linear regression. SPIDR first uses a semi-penalized…

Methodology · Statistics 2013-12-02 Jian Huang , Shuangge Ma , Cun-Hui Zhang , Yong Zhou

Synthetic tabular data is increasingly used in privacy-sensitive domains such as health care, but existing generative models often fail to preserve inter-attribute relationships. In particular, functional dependencies (FDs) and logical…

Machine Learning · Computer Science 2025-07-28 Chaithra Umesh , Kristian Schultz , Manjunath Mahendra , Saptarshi Bej , Olaf Wolkenhauer

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

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

This paper investigates sequential change-point detection in reconfigurable sensor networks. In this problem, data from multiple sensors are observed sequentially. Each sensor can have a unique change point, and the data distribution…

Methodology · Statistics 2025-04-10 Seungwon Lee , Yunxiao Chen , Xiaoou Li

Large-scale multiple testing under static factor models is widely used to detect sparse signals in high-dimensional data. However, static factor models are arguably too stringent because they ignore serial correlation, which seriously…

Statistics Theory · Mathematics 2025-04-04 Xinxin Yang , Lilun Du

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

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

In many statistical problems the hypotheses are naturally divided into groups, and the investigators are interested to perform group-level inference, possibly along with inference on individual hypotheses. We consider the goal of…

Statistics Theory · Mathematics 2021-05-20 Marina Bogomolov

The paper considers the problem of identifying the sparse different components between two high dimensional means of column-wise dependent random vectors. We show that the dependence can be utilized to lower the identification boundary for…

Methodology · Statistics 2014-10-13 Jun Li , Ping-Shou Zhong

We propose a ranking and selection procedure to prioritize relevant predictors and control false discovery proportion (FDP) of variable selection. Our procedure utilizes a new ranking method built upon the de-sparsified Lasso estimator. We…

Methodology · Statistics 2018-12-12 X. Jessie Jeng , Xiongzhi Chen

We consider the problem of asynchronous online testing, aimed at providing control of the false discovery rate (FDR) during a continual stream of data collection and testing, where each test may be a sequential test that can start and stop…

Methodology · Statistics 2020-08-25 Tijana Zrnic , Aaditya Ramdas , Michael I. Jordan

Extracting associations that recur across multiple studies while controlling the false discovery rate is a fundamental challenge. Here, we consider an extension of Efron's single-study two-groups model to allow joint analysis of multiple…

Methodology · Statistics 2019-01-14 David Amar , Ron Shamir , Daniel Yekutieli

Recently, the scheme of model-X knockoffs was proposed as a promising solution to address controlled feature selection under high-dimensional finite-sample settings. However, the procedure of model-X knockoffs depends heavily on the…

Methodology · Statistics 2022-03-10 Xuebin Zhao , Hong Chen , Yingjie Wang , Weifu Li , Tieliang Gong , Yulong Wang , Feng Zheng

The traditional approaches to false discovery rate (FDR) control in multiple hypothesis testing are usually based on the null distribution of a test statistic. However, all types of null distributions, including the theoretical,…

Methodology · Statistics 2021-04-13 Kun He , Mengjie Li , Yan Fu , Fuzhou Gong , Xiaoming Sun

False discovery rate (FDR) procedures provide misleading inference when testing multiple null hypotheses with heterogeneous multinomial data. For example, in the motivating study the goal is to identify species of bacteria near the roots of…

Methodology · Statistics 2015-11-05 Joshua Habiger , David Watts , Michael Anderson

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

This paper introduces an innovative method for conducting conditional independence testing in high-dimensional data, facilitating the automated discovery of significant associations within distinct subgroups of a population, all while…

Methodology · Statistics 2023-09-19 Matteo Sesia , Tianshu Sun