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We develop a new class of distribution--free multiple testing rules for false discovery rate (FDR) control under general dependence. A key element in our proposal is a symmetrized data aggregation (SDA) approach to incorporating the…

Methodology · Statistics 2021-05-27 Lilun Du , Xu Guo , Wenguang Sun , Changliang Zou

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…

Statistics Theory · Mathematics 2020-10-07 Wenshuo Wang , Lucas Janson

The goal of feature selection is to identify important features that are relevant to explain an outcome variable. Most of the work in this domain has focused on identifying globally relevant features, which are features that are related to…

Machine Learning · Statistics 2019-05-30 Jaime Roquero Gimenez , James Zou

We consider the problem of variable selection in high-dimensional statistical models where the goal is to report a set of variables, out of many predictors $X_1, \dotsc, X_p$, that are relevant to a response of interest. For linear…

Methodology · Statistics 2019-03-20 Adel Javanmard , Hamid Javadi

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…

Statistics Theory · Mathematics 2020-01-13 Jingbo Liu , Philippe Rigollet

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…

Methodology · Statistics 2024-03-14 Jasin Machkour , Michael Muma , Daniel P. Palomar

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,…

Methodology · Statistics 2024-01-31 Jasin Machkour , Michael Muma , Daniel P. Palomar

We propose one-at-a-time knockoffs (OATK), a new methodology for detecting important explanatory variables in linear regression models while controlling the false discovery rate (FDR). For each explanatory variable, OATK generates a…

Methodology · Statistics 2025-02-27 Charlie K. Guan , Zhimei Ren , Daniel W. Apley

This paper presents a survey on some recent advances for the type I error rate control in multiple testing methodology. We consider the problem of controlling the $k$-family-wise error rate (kFWER, probability to make $k$ false discoveries…

Methodology · Statistics 2011-03-15 Etienne Roquain

We make some initial attempt to establish the theoretical and methodological foundation for the model-X knockoffs inference for time series data. We suggest the method of time series knockoffs inference (TSKI) by exploiting the ideas of…

Methodology · Statistics 2025-03-03 Chien-Ming Chi , Yingying Fan , Ching-Kang Ing , Jinchi Lv

Sorted L-One Penalized Estimation (SLOPE) has shown the nice theoretical property as well as empirical behavior recently on the false discovery rate (FDR) control of high-dimensional feature selection by adaptively imposing the…

Statistics Theory · Mathematics 2023-02-22 Jingxuan Liang , Hong Chen , Xuelin Zhang , Weifu Li , Xin Tang

The Model-X knockoffs is a practical methodology for variable selection, which stands out from other selection strategies since it allows for the control of the false discovery rate (FDR), relying on finite-sample guarantees. In this…

This paper is concerned with false discovery rate (FDR) control in large-scale multiple testing problems. We first propose a new data-driven testing procedure for controlling the FDR in large-scale t-tests for one-sample mean problem. The…

Statistics Theory · Mathematics 2020-03-02 Changliang Zou , Haojie Ren , Xu Guo , Runze Li

Consider a case-control study in which we have a random sample, constructed in such a way that the proportion of cases in our sample is different from that in the general population---for instance, the sample is constructed to achieve a…

Methodology · Statistics 2019-01-01 Rina Foygel Barber , Emmanuel Candes

Testing multiple hypotheses of conditional independence with provable error rate control is a fundamental problem with various applications. To infer conditional independence with family-wise error rate (FWER) control when only summary…

Methodology · Statistics 2023-10-17 Catherine Xinrui Yu , Jiaqi Gu , Zhaomeng Chen , Zihuai He

Controlling False Discovery Rate (FDR) while leveraging the side information of multiple hypothesis testing is an emerging research topic in modern data science. Existing methods rely on the test-level covariates while ignoring metrics…

Machine Learning · Statistics 2022-10-10 Lin Qiu , Nils Murrugarra-Llerena , Vítor Silva , Lin Lin , Vernon M. Chinchilli

Addressing the simultaneous identification of contributory variables while controlling the false discovery rate (FDR) in high-dimensional data is a crucial statistical challenge. In this paper, we propose a novel model-free variable…

Methodology · Statistics 2024-04-23 Yixin Han , Xu Guo , Changliang Zou

Controlling the false discovery rate (FDR) is a powerful approach to multiple testing. In many applications, the tested hypotheses have an inherent hierarchical structure. In this paper, we focus on the fixed sequence structure where the…

Methodology · Statistics 2016-11-11 Gavin Lynch , Wenge Guo , Sanat K. Sarkar , Helmut Finner

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.…

Machine Learning · Statistics 2026-02-10 Kazuma Sawaya

A prevalent feature of high-dimensional data is the dependence among covariates, and model selection is known to be challenging when covariates are highly correlated. To perform model selection for the high-dimensional Cox proportional…

Methodology · Statistics 2022-10-04 Pierre Bayle , Jianqing Fan
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