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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

We consider clinical trials with multiple, overlapping patient populations, that test multiple treatment policies specifically tailored to these populations. Such designs may lead to multiplicity issues, as false statements will affect…

统计方法学 · 统计学 2025-11-13 Remi Luschei , Werner Brannath

We propose the conditional predictive impact (CPI), a consistent and unbiased estimator of the association between one or several features and a given outcome, conditional on a reduced feature set. Building on the knockoff framework of…

统计方法学 · 统计学 2021-05-14 David S. Watson , Marvin N. Wright

In applications such as clinical safety analysis, the data of the experiments usually consists of frequency counts. In the analysis of such data, researchers often face the problem of multiple testing based on discrete test statistics,…

统计方法学 · 统计学 2019-08-15 Yalin Zhu , Wenge Guo

We consider the hypothesis testing problem of detecting conditional dependence, with a focus on high-dimensional feature spaces. Our contribution is a new test statistic based on samples from a generative adversarial network designed to…

机器学习 · 统计学 2019-12-20 Alexis Bellot , Mihaela van der Schaar

This paper proposes a model-free and data-adaptive feature screening method for ultra-high dimensional datasets. The proposed method is based on the projection correlation which measures the dependence between two random vectors. This…

统计方法学 · 统计学 2021-02-16 Wanjun Liu , Yuan Ke , Jingyuan Liu , Runze Li

The fixed-X knockoff filter is a flexible framework for variable selection with false discovery rate (FDR) control in linear models with arbitrary design matrices (of full column rank) and it allows for finite-sample selective inference via…

统计理论 · 数学 2023-11-28 Mehrdad Pournaderi , Yu Xiang

We introduce local conditional hypotheses that express how the relation between explanatory variables and outcomes changes across different contexts, described by covariates. By expanding upon the model-X knockoff filter, we show how to…

统计方法学 · 统计学 2026-01-12 Paula Gablenz , Matteo Sesia , Tianshu Sun , Chiara Sabatti

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…

统计方法学 · 统计学 2011-03-15 Etienne Roquain

Recent results in coupled or temporal graphical models offer schemes for estimating the relationship structure between features when the data come from related (but distinct) longitudinal sources. A novel application of these ideas is for…

机器学习 · 统计学 2017-11-22 Ronak Mehta , Hyunwoo J. Kim , Shulei Wang , Sterling C. Johnson , Ming Yuan , Vikas Singh

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…

统计方法学 · 统计学 2025-01-30 Runqiu Wang , Ran Dai , Hongying Dai , Evan French , Cheng Zheng

Multiple hypothesis testing is a fundamental problem in high dimensional inference, with wide applications in many scientific fields. In genome-wide association studies, tens of thousands of tests are performed simultaneously to find if any…

统计方法学 · 统计学 2010-12-21 Xu Han , Weijie Gu , Jianqing Fan

Controlled variable selection is an important analytical step in various scientific fields, such as brain imaging or genomics. In these high-dimensional data settings, considering too many variables leads to poor models and high costs,…

统计方法学 · 统计学 2023-10-17 Alexandre Blain , Bertrand Thirion , Olivier Grisel , Pierre Neuvial

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…

统计理论 · 数学 2017-09-04 Yingying Fan , Emre Demirkaya , Gaorong Li , Jinchi Lv

Despite the popularity of feature importance (FI) measures in interpretable machine learning, the statistical adequacy of these methods is rarely discussed. From a statistical perspective, a major distinction is between analyzing a…

机器学习 · 统计学 2023-05-03 Kristin Blesch , David S. Watson , Marvin N. Wright

We show that one can perform causal inference in a natural way for continuous-time scenarios using tools from stochastic analysis. This provides new alternatives to the positivity condition for inverse probability weighting. The probability…

统计理论 · 数学 2013-04-23 Kjetil Røysland

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…

统计方法学 · 统计学 2023-11-16 Yang Cao , Xinwei Sun , Yuan Yao

The knockoff filter, recently developed by Barber and Candes, is an effective procedure to perform variable selection with a controlled false discovery rate (FDR). We propose a private version of the knockoff filter by incorporating…

机器学习 · 统计学 2022-02-01 Mehrdad Pournaderi , Yu Xiang

Understanding how much each variable contributes to an outcome is a central question across disciplines. A causal view of explainability is favorable for its ability in uncovering underlying mechanisms and generalizing to new contexts.…

统计方法学 · 统计学 2026-03-09 Weihan Zhang , Zijun Gao

We present a procedure for controlling FWER when sequentially considering successive subfamilies of null hypotheses and rejecting at most one from each subfamily. Our procedure differs from previous procedures for controlling FWER by…

统计方法学 · 统计学 2017-02-15 Geoffrey I. Webb , Mark van der Laan