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This paper discusses several p-value-free multiple hypothesis testing methods proposed in recent years and organizes them by introducing a unified framework termed competition test. Although existing competition tests are effective in…

统计方法学 · 统计学 2025-12-02 Mingzhou Deng , Yan Fu

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

In large-scale multiple hypothesis testing problems, the false discovery exceedance (FDX) provides a desirable alternative to the widely used false discovery rate (FDR) when the false discovery proportion (FDP) is highly variable. We…

统计方法学 · 统计学 2023-04-21 Pallavi Basu , Luella Fu , Alessio Saretto , Wenguang Sun

In many scientific problems, researchers try to relate a response variable $Y$ to a set of potential explanatory variables $X = (X_1,\dots,X_p)$, and start by trying to identify variables that contribute to this relationship. In statistical…

统计理论 · 数学 2020-10-07 Wenshuo Wang , Lucas Janson

The TREX is a recently introduced method for performing sparse high-dimensional regression. Despite its statistical promise as an alternative to the lasso, square-root lasso, and scaled lasso, the TREX is computationally challenging in that…

机器学习 · 统计学 2021-04-01 Jacob Bien , Irina Gaynanova , Johannes Lederer , Christian Müller

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…

信号处理 · 电气工程与系统科学 2024-10-01 Fabian Scheidt , Jasin Machkour , Michael Muma

The estimation of functional networks through functional covariance and graphical models have recently attracted increasing attention in settings with high dimensional functional data, where the number of functional variables p is…

统计理论 · 数学 2024-09-05 Qin Fang , Qing Jiang , Xinghao Qiao

Voxel-based multiple testing is widely used in neuroimaging data analysis. Traditional false discovery rate (FDR) control methods often ignore the spatial dependence among the voxel-based tests and thus suffer from substantial loss of…

机器学习 · 统计学 2024-05-06 Taehyo Kim , Hai Shu , Qiran Jia , Mony J. de Leon

In this article, we propose a generalized weighted version of the well-known Benjamini-Hochberg (BH) procedure. The rigorous weighting scheme used by our method enables it to encode structural information from simultaneous multi-way…

统计方法学 · 统计学 2021-05-25 Shinjini Nandi , Sanat K. Sarkar

The generalized linear models (GLM) have been widely used in practice to model non-Gaussian response variables. When the number of explanatory features is relatively large, scientific researchers are of interest to perform controlled…

统计方法学 · 统计学 2020-07-03 Chenguang Dai , Buyu Lin , Xin Xing , Jun S. Liu

The knockoff filter introduced by Barber and Cand\`es 2016 is an elegant framework for controlling the false discovery rate in variable selection. While empirical results indicate that this methodology is not too conservative, there is no…

统计理论 · 数学 2020-01-13 Jingbo Liu , Philippe Rigollet

We provide new non-asymptotic false discovery proportion (FDP) confidence envelopes in several multiple testing settings relevant for modern high dimensional-data methods. We revisit the multiple testing scenarios considered in the recent…

统计理论 · 数学 2024-09-18 Iqraa Meah , Gilles Blanchard , Etienne Roquain

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…

统计理论 · 数学 2025-06-16 Yu-Chien Bo Ning

We consider the problem of identifying whether findings replicate from one study of high dimension to another, when the primary study guides the selection of hypotheses to be examined in the follow-up study as well as when there is no…

统计方法学 · 统计学 2014-01-28 Marina Bogomolov , Ruth Heller

We consider the problem of variable selection in regression models. In particular, we are interested in selecting explanatory covariates linked with the response variable and we want to determine which covariates are relevant, that is which…

统计方法学 · 统计学 2019-07-09 Anne Gégout-Petit , Aurélie Gueudin-Muller , Clémence Karmann

Deep learning has become increasingly popular in both supervised and unsupervised machine learning thanks to its outstanding empirical performance. However, because of their intrinsic complexity, most deep learning methods are largely…

机器学习 · 计算机科学 2018-09-07 Yang Young Lu , Yingying Fan , Jinchi Lv , William Stafford Noble

A mathematical model for variable selection in functional regression models with scalar response is proposed. By "variable selection" we mean a procedure to replace the whole trajectories of the functional explanatory variables with their…

统计方法学 · 统计学 2017-04-21 José R. Berrendero , Beatriz Bueno-Larraz , Antonio Cuevas

Our research proposes a novel method for reducing the dimensionality of functional data, specifically for the case where the response is a scalar and the predictor is a random function. Our method utilizes distance covariance, and has…

统计理论 · 数学 2023-09-26 Xing Yang , Jianjun Xu

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…

统计方法学 · 统计学 2024-03-12 Naiwen Pang , Xiaochao Xia

Variable selection plays a crucial role in enhancing modeling effectiveness across diverse fields, addressing the challenges posed by high-dimensional datasets of correlated variables. This work introduces a novel approach namely Knockoff…

机器学习 · 统计学 2025-01-31 Xiaochen Zhang , Yunfeng Cai , Haoyi Xiong