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Recently, the scheme of model-X knockoffs was proposed as a promising solution to address controlled feature selection under high-dimensional finite-sample settings. However, the procedure of model-X knockoffs depends heavily on the…

Methodology · Statistics 2022-03-10 Xuebin Zhao , Hong Chen , Yingjie Wang , Weifu Li , Tieliang Gong , Yulong Wang , Feng Zheng

High-dimensional longitudinal time series data is prevalent across various real-world applications. Many such applications can be modeled as regression problems with high-dimensional time series covariates. Deep learning has been a popular…

Machine Learning · Statistics 2024-04-09 Wenxuan Zuo , Zifan Zhu , Yuxuan Du , Yi-Chun Yeh , Jed A. Fuhrman , Jinchi Lv , Yingying Fan , Fengzhu Sun

Model-X knockoff framework offers a model-free variable selection method that ensures finite sample false discovery rate (FDR) control. However, the complexity of generating knockoff variables, coupled with the model-free assumption,…

Methodology · Statistics 2025-06-12 Zhanrui Cai , Yingying Fan , Lan Gao

Model-X knockoff has garnered significant attention among various feature selection methods due to its guarantees for controlling the false discovery rate (FDR). Since its introduction in parametric design, knockoff techniques have evolved…

Machine Learning · Computer Science 2024-11-11 Hongyu Shen , Yici Yan , Zhizhen Zhao

We describe a series of algorithms that efficiently implement Gaussian model-X knockoffs to control the false discovery rate on large scale feature selection problems. Identifying the knockoff distribution requires solving a large scale…

Machine Learning · Computer Science 2020-06-17 Armin Askari , Quentin Rebjock , Alexandre d'Aspremont , Laurent El Ghaoui

Model-X knockoffs is a flexible wrapper method for high-dimensional regression algorithms, which provides guaranteed control of the false discovery rate (FDR). Due to the randomness inherent to the method, different runs of model-X…

Methodology · Statistics 2023-09-01 Zhimei Ren , Rina Foygel Barber

We propose a unified theoretical framework for studying the robustness of the model-X knockoffs framework by investigating the asymptotic false discovery rate (FDR) control of the practically implemented approximate knockoffs procedure.…

Machine Learning · Statistics 2025-02-11 Yingying Fan , Lan Gao , Jinchi Lv , Xiaocong Xu

The knockoffs is a recently proposed powerful framework that effectively controls the false discovery rate (FDR) for variable selection. However, none of the existing knockoff solutions are directly suited to handle multivariate or…

Methodology · Statistics 2024-06-28 Xinghao Qiao , Mingya Long , Qizhai Li

Continuous improvement in medical imaging techniques allows the acquisition of higher-resolution images. When these are used in a predictive setting, a greater number of explanatory variables are potentially related to the dependent…

Statistics Theory · Mathematics 2019-03-13 Tuan-Binh Nguyen , Jérôme-Alexis Chevalier , Bertrand Thirion

In many fields of science, we observe a response variable together with a large number of potential explanatory variables, and would like to be able to discover which variables are truly associated with the response. At the same time, we…

Methodology · Statistics 2015-10-15 Rina Foygel Barber , Emmanuel J. Candès

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

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

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

Although there is a huge literature on feature selection for the Cox model, none of the existing approaches can control the false discovery rate (FDR) unless the sample size tends to infinity. In addition, there is no formal power analysis…

Methodology · Statistics 2023-08-02 Daoji Li , Jinzhao Yu , Hui Zhao

We propose a novel multiple testing methodology for controlling the false discovery rate (FDR) in high-dimensional linear models that integrates model-X knockoff techniques with debiased penalized regression estimators. At the foundation of…

Methodology · Statistics 2026-03-17 Jinyuan Chang , Chenlong Li , Cheng Yong Tang , Zhengtian Zhu

Knockoffs are a popular statistical framework that addresses the challenging problem of conditional variable selection in high-dimensional settings with statistical control. Such statistical control is essential for the reliability of…

Methodology · Statistics 2025-04-30 Alexandre Blain , Angel Reyero Lobo , Julia Linhart , Bertrand Thirion , Pierre Neuvial

The recent paper Cand\`es et al. (2018) introduced model-X knockoffs, a method for variable selection that provably and non-asymptotically controls the false discovery rate with no restrictions or assumptions on the dimensionality of the…

Methodology · Statistics 2020-06-16 Dongming Huang , Lucas Janson

The recently proposed fixed-X knockoff is a powerful variable selection procedure that controls the false discovery rate (FDR) in any finite-sample setting, yet its theoretical insights are difficult to show beyond Gaussian linear models.…

Methodology · Statistics 2023-11-28 Han Su , Panxu Yuan , Qingyang Sun , Mengxi Yi , Gaorong Li

We introduce DiffKnock, a diffusion-based knockoff framework for high-dimensional feature selection with finite-sample false discovery rate (FDR) control. DiffKnock addresses two key limitations of existing knockoff methods: preserving…

Methodology · Statistics 2025-10-03 Heng Ge , Qing Lu

Model-free knockoffs is a recently proposed technique for identifying covariates that is likely to have an effect on a response variable. The method is an efficient method to control the false discovery rate in hypothesis tests for separate…

Methodology · Statistics 2019-03-29 Lars Holden , Kristoffer Hellton
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