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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…

Many contemporary large-scale applications involve building interpretable models linking a large set of potential covariates to a response in a nonlinear fashion, such as when the response is binary. Although this modeling problem has been…

Methodology · Statistics 2017-12-13 Emmanuel Candes , Yingying Fan , Lucas Janson , Jinchi Lv

Identifying variants that carry substantial information on the trait of interest remains a core topic in genetic studies. In analyzing the EADB-UKBB dataset to identify genetic variants associated with Alzheimer's disease (AD), however, we…

Applications · Statistics 2025-12-04 Jiaqi Gu , Zhaomeng Chen , Zihuai He

The problem of selecting a handful of truly relevant variables in supervised machine learning algorithms is a challenging problem in terms of untestable assumptions that must hold and unavailability of theoretical assurances that selection…

Methodology · Statistics 2023-11-10 Mehdi Rostami , Olli Saarela

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

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

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

Feature selection is central to contemporary high-dimensional data analysis. Grouping structure among features arises naturally in various scientific problems. Many methods have been proposed to incorporate the grouping structure…

Machine Learning · Computer Science 2019-05-28 Guangyu Zhu , Tingting Zhao

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

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

Knockoff variable selection is a powerful framework that creates synthetic knockoff variables to mirror the correlation structure of the observed features, enabling principled control of the false discovery rate in variable selection.…

Methodology · Statistics 2025-08-21 Evan Mason , Zhe Fei

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…

Methodology · Statistics 2019-07-09 Anne Gégout-Petit , Aurélie Gueudin-Muller , Clémence Karmann

False discovery rate (FDR) control is a popular approach for maintaining the integrity of statistical analyses, especially in high-dimensional data settings, where multiple comparisons increase the risk of false positives. FDR control has…

Signal Processing · Electrical Eng. & Systems 2026-03-03 Fabian Scheidt , Jasin Machkour , Michael Muma

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

The concept of $k$-FWER has received much attention lately as an appropriate error rate for multiple testing when one seeks to control at least $k$ false rejections, for some fixed $k\ge 1$. A less conservative notion, the $k$-FDR, has been…

Statistics Theory · Mathematics 2009-06-18 Sanat K. Sarkar , Wenge Guo

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

Controlling the false discovery rate (FDR) in high-dimensional variable selection requires balancing rigorous error control with statistical power. Existing methods with provable guarantees are often overly conservative, creating a…

Methodology · Statistics 2026-02-06 Arnau Vilella , Jasin Machkour , Michael Muma , Daniel P. Palomar

Considering the knockoff-based multiple testing framework of Barber and Cand\`es [2015], we revisit the method of Sarkar and Tang [2022] and identify it as a specific case of an un-normalized e-value weighted Benjamini-Hochberg procedure.…

Methodology · Statistics 2026-02-13 Aniket Biswas , Aaditya Ramdas

Feature selection prepares the AI-readiness of data by eliminating redundant features. Prior research falls into two primary categories: i) Supervised Feature Selection, which identifies the optimal feature subset based on their relevance…

Machine Learning · Computer Science 2024-03-08 Xinyuan Wang , Dongjie Wang , Wangyang Ying , Rui Xie , Haifeng Chen , Yanjie Fu

Simultaneously finding multiple influential variables and controlling the false discovery rate (FDR) for linear regression models is a fundamental problem. We here propose the Gaussian Mirror (GM) method, which creates for each predictor…

Methodology · Statistics 2021-03-22 Xin Xing , Zhigen Zhao , Jun S. Liu
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