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Currently, there is an urgent demand for scalable multivariate and high-dimensional false discovery rate (FDR)-controlling variable selection methods to ensure the repro-ducibility of discoveries. However, among existing methods, only the…

Signal Processing · Electrical Eng. & Systems 2024-10-01 Fabian Scheidt , Jasin Machkour , Michael Muma

There are a number of ways to test for the absence/presence of a spatial signal in a completely observed fine-resolution image. One of these is a powerful nonparametric procedure called Enhanced False Discovery Rate (EFDR). A drawback of…

Methodology · Statistics 2020-10-20 Hsin-Cheng Huang , Noel Cressie , Andrew Zammit-Mangion , Guowen Huang

In many multiple testing applications in genetics, the signs of test statistics provide useful directional information, such as whether genes are potentially up- or down-regulated between two experimental conditions. However, most existing…

Methodology · Statistics 2025-07-22 Zhaoyang Tian , Kun Liang , Pengfei Li

Multiple hypothesis testing often involves composite nulls, i.e., nulls that are associated with two or more distributions. In many cases, it is reasonable to assume that there is a prior distribution on the distributions despite it is…

Statistics Theory · Mathematics 2008-07-31 Zhiyi Chi

This paper develops a framework for testing for associations in a possibly high-dimensional linear model where the number of features/variables may far exceed the number of observational units. In this framework, the observations are split…

Methodology · Statistics 2018-05-04 Rina Foygel Barber , Emmanuel J. Candes

The highly influential two-group model in testing a large number of statistical hypotheses assumes that the test statistics are drawn independently from a mixture of a high probability null distribution and a low probability alternative.…

Methodology · Statistics 2020-12-08 Ruth Heller , Saharon Rosset

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

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

Motivated by the simultaneous association analysis with the presence of latent confounders, this paper studies the large-scale hypothesis testing problem for the high-dimensional confounded linear models with both non-asymptotic and…

Methodology · Statistics 2023-08-24 Yinrui Sun , Li Ma , Yin Xia

This paper proposes a bootstrap-assisted procedure to conduct simultaneous inference for high dimensional sparse linear models based on the recent de-sparsifying Lasso estimator (van de Geer et al. 2014). Our procedure allows the dimension…

Statistics Theory · Mathematics 2016-03-07 Xianyang Zhang , Guang Cheng

We propose Nodewise Loreg, a nodewise $L_0$-penalized regression method for estimating high-dimensional sparse precision matrices. We establish its asymptotic properties, including convergence rates, support recovery, and asymptotic…

Statistics Theory · Mathematics 2024-06-11 Hai Shu , Ziqi Chen , Yingjie Zhang , Hongtu Zhu

Variable selection and dimension reduction are two commonly adopted approaches for high-dimensional data analysis, but have traditionally been treated separately. Here we propose an integrated approach, called sparse gradient learning…

Machine Learning · Statistics 2010-07-02 Gui-Bo Ye , Xiaohui Xie

Large-scale multiple two-sample {\em Student}'s $t$ testing problems often arise from the statistical analysis of scientific data. To detect components with different values between two mean vectors, a well-known procedure is to apply the…

Methodology · Statistics 2014-10-17 Weidong Liu

The debiased estimator is a crucial tool in statistical inference for high-dimensional model parameters. However, constructing such an estimator involves estimating the high-dimensional inverse Hessian matrix, incurring significant…

Machine Learning · Statistics 2023-12-18 Jiyuan Tu , Weidong Liu , Xiaojun Mao , Mingyue Xu

We propose the group knockoff filter, a method for false discovery rate control in a linear regression setting where the features are grouped, and we would like to select a set of relevant groups which have a nonzero effect on the response.…

Methodology · Statistics 2016-02-12 Ran Dai , Rina Foygel Barber

In the sparse sequence model, we consider a popular Bayesian multiple testing procedure and investigate for the first time its behaviour from the frequentist point of view. Given a spike-and-slab prior on the high-dimensional sparse unknown…

Statistics Theory · Mathematics 2022-03-29 Kweku Abraham , Ismael Castillo , Etienne Roquain

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

Time-series datasets are central in machine learning with applications in numerous fields of science and engineering, such as biomedicine, Earth observation, and network analysis. Extensive research exists on state-space models (SSMs),…

Machine Learning · Computer Science 2024-06-17 Emilie Chouzenoux , Victor Elvira

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

In this paper, we propose two new algorithms for maximum-likelihood estimation (MLE) of high dimensional sparse covariance matrices. Unlike most of the state of-the-art methods, which either use regularization techniques or penalize the…

Methodology · Statistics 2023-05-12 Ghania Fatima , Prabhu Babu , Petre Stoica