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Controlling the False Discovery Rate (FDR) in a variable selection procedure is critical for reproducible discoveries, and it has been extensively studied in sparse linear models. However, it remains largely open in scenarios where the…

Methodology · Statistics 2023-11-16 Yang Cao , Xinwei Sun , Yuan Yao

We tackle the problem of selecting from among a large number of variables those that are 'important' for an outcome. We consider situations where groups of variables are also of interest in their own right. For example, each variable might…

Methodology · Statistics 2018-08-13 Eugene Katsevich , Chiara Sabatti

Conditional independence testing (CIT) is essential for reliable scientific discovery. It prevents spurious findings and enables controlled feature selection. Recent CIT methods have used machine learning (ML) models as surrogates of the…

Statistics Theory · Mathematics 2026-02-02 Angel Reyero-Lobo , Bertrand Thirion , Pierre Neuvial

Randomized controlled trials are not only the golden standard in medicine and vaccine trials but have spread to many other disciplines like behavioral economics, making it an important interdisciplinary tool for scientists. When designing…

Methodology · Statistics 2021-11-30 Tassilo Schwarz

Stability and reproducibility are essential considerations in various applications of statistical methods. False Discovery Rate (FDR) control methods are able to control false signals in scientific discoveries. However, many FDR control…

Methodology · Statistics 2025-12-22 Jiajun Sun , Zhanrui Cai , Wei Zhong

Power and reproducibility are key to enabling refined scientific discoveries in contemporary big data applications with general high-dimensional nonlinear models. In this paper, we provide theoretical foundations on the power and robustness…

Statistics Theory · Mathematics 2017-09-04 Yingying Fan , Emre Demirkaya , Gaorong Li , Jinchi Lv

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

The knockoff filter of Barber and Candes (arXiv:1404.5609) is a flexible framework for multiple testing in supervised learning models, based on introducing synthetic predictor variables to control the false discovery rate (FDR). Using the…

Methodology · Statistics 2024-11-26 Yixiang Luo , William Fithian , Lihua Lei

In 2015, Barber and Candes introduced a new variable selection procedure called the knockoff filter to control the false discovery rate (FDR) and prove that this method achieves exact FDR control. Inspired by the work of Barber and Candes…

Methodology · Statistics 2019-07-23 Jiajie Chen , Anthony Hou , Thomas Y. Hou

In large scale multiple testing problems, a two-class empirical Bayes approach can be used to control the false discovery rate (Fdr) for the entire array of hypotheses under study. A sample splitting step is incorporated to modify that…

Computation · Statistics 2019-12-13 Paramita Chakraborty , Chong Ma , John Grego , James Lynch

One challenge in exploratory association studies using observational data is that the associations between the predictors and the outcome are potentially weak and rare, and the candidate predictors have complex correlation structures. False…

Methodology · Statistics 2025-01-30 Runqiu Wang , Ran Dai , Hongying Dai , Evan French , Cheng Zheng

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…

High-dimensional variable selection has emerged as one of the prevailing statistical challenges in the big data revolution. Many variable selection methods have been adapted for identifying single nucleotide polymorphisms (SNPs) linked to…

Methodology · Statistics 2024-08-21 Justin J. Van Ee , Diana Gamba , Jesse R. Lasky , Megan L. Vahsen , Mevin B. Hooten

In high dimensional variable selection problems, statisticians often seek to design multiple testing procedures that control the False Discovery Rate (FDR), while concurrently identifying a greater number of relevant variables. Model-X…

Statistics Theory · Mathematics 2023-07-25 Taejoo Ahn , Licong Lin , Song Mei

Although sparse autoencoders (SAEs) are crucial for identifying interpretable features in neural networks, it is still challenging to distinguish between real computational patterns and erroneous correlations. We introduce Model-X knockoffs…

Machine Learning · Computer Science 2025-11-18 Tsogt-Ochir Enkhbayar

In many scenarios such as genome-wide association studies where dependences between variables commonly exist, it is often of interest to infer the interaction effects in the model. However, testing pairwise interactions among millions of…

Methodology · Statistics 2022-09-02 Jingyi Duan , Yang Ning , Xi Chen , Yong Chen

The knockoff filter is a recent false discovery rate (FDR) control method for high-dimensional linear models. We point out that knockoff has three key components: ranking algorithm, augmented design, and symmetric statistic, and each…

Statistics Theory · Mathematics 2024-02-14 Zheng Tracy Ke , Jun S. Liu , Yucong Ma

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 extend the knockoffs method for selecting predictors to clustered data (cross-sectional or repeated measures). In the setting of clustered data, variable selection is complex because some predictors are measured at the observation level…

Methodology · Statistics 2026-02-24 Silvia Bacci , Leonardo Grilli , Carla Rampichini

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