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Thanks to its fine balance between model flexibility and interpretability, the nonparametric additive model has been widely used, and variable selection for this type of model has been frequently studied. However, none of the existing…

统计方法学 · 统计学 2022-01-10 Xiaowu Dai , Xiang Lyu , Lexin Li

Knockoffs is a new framework for controlling the false discovery rate (FDR) in multiple hypothesis testing problems involving complex statistical models. While there has been great emphasis on Type-I error control, Type-II errors have been…

统计方法学 · 统计学 2017-12-19 Asaf Weinstein , Rina Barber , Emmanuel Candes

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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 2020-06-17 Armin Askari , Quentin Rebjock , Alexandre d'Aspremont , Laurent El Ghaoui

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…

统计方法学 · 统计学 2024-06-28 Xinghao Qiao , Mingya Long , Qizhai Li

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.…

统计方法学 · 统计学 2023-11-28 Han Su , Panxu Yuan , Qingyang Sun , Mengxi Yi , Gaorong Li

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…

统计方法学 · 统计学 2018-05-04 Rina Foygel Barber , Emmanuel J. Candes

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…

统计方法学 · 统计学 2023-08-02 Daoji Li , Jinzhao Yu , Hui Zhao

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…

统计方法学 · 统计学 2017-12-13 Emmanuel Candes , Yingying Fan , Lucas Janson , Jinchi Lv

The false discovery rate (FDR)---the expected fraction of spurious discoveries among all the discoveries---provides a popular statistical assessment of the reproducibility of scientific studies in various disciplines. In this work, we…

机器学习 · 统计学 2015-11-10 Weijie Su , Junyang Qian , Linxi Liu

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…

统计理论 · 数学 2024-02-14 Zheng Tracy Ke , Jun S. Liu , Yucong Ma

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…

统计方法学 · 统计学 2015-10-15 Rina Foygel Barber , Emmanuel J. Candès

We propose a new method to learn the structure of a Gaussian graphical model with finite sample false discovery rate control. Our method builds on the knockoff framework of Barber and Cand\`{e}s for linear models. We extend their approach…

统计方法学 · 统计学 2021-04-20 Jinzhou Li , Marloes H. Maathuis

The recent proliferation of high-dimensional data, such as electronic health records and genetics data, offers new opportunities to find novel predictors of outcomes. Presented with a large set of candidate features, interest often lies in…

统计方法学 · 统计学 2024-09-24 Michael J. Martens , Anjishnu Banerjee , Xinran Qi , Yushu Shi

A new statistical procedure (Model-X \cite{candes2018}) has provided a way to identify important factors using any supervised learning method controlling for FDR. This line of research has shown great potential to expand the horizon of…

统计方法学 · 统计学 2018-10-01 Ying Liu , Cheng Zheng

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…

统计方法学 · 统计学 2019-03-29 Lars Holden , Kristoffer Hellton

Controlling the False Discovery Rate (FDR) is critical for reproducible variable selection, especially given the prevalence of complex predictive modeling. The recent Split Knockoff method, an extension of the canonical Knockoffs framework,…

统计方法学 · 统计学 2025-09-05 Yang Cao , Hangyu Lin , Xinwei Sun , Yuan Yao

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…

统计方法学 · 统计学 2025-02-27 Charlie K. Guan , Zhimei Ren , Daniel W. Apley

In many research fields, researchers aim to identify significant associations between a set of explanatory variables and a response while controlling the FDR. The Knockoff filter has been recently proposed in the frequentist paradigm to…

统计方法学 · 统计学 2026-04-22 Lorenzo Focardi-Olmi , Anna Gottard , Michele Guindani , Marina Vannucci

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…

统计方法学 · 统计学 2022-03-10 Xuebin Zhao , Hong Chen , Yingjie Wang , Weifu Li , Tieliang Gong , Yulong Wang , Feng Zheng
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