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We consider the problem of assessing the importance of multiple variables or factors from a dataset when side information is available. In principle, using side information can allow the statistician to pay attention to variables with a…

Methodology · Statistics 2020-01-23 Zhimei Ren , Emmanuel Candès

The highly influential two-group model in testing a large number of statistical hypotheses assumes that the test statistics are drawn independently from a mixture of a high probability null distribution and a low probability alternative.…

Methodology · Statistics 2020-12-08 Ruth Heller , Saharon Rosset

High-dimensional variable selection, particularly in genomics, requires error-controlling procedures that scale to millions of predictors. The Terminating-Random Experiments (T-Rex) selector achieves false discovery rate (FDR) control by…

Methodology · Statistics 2026-04-10 Taulant Koka , Jasin Machkour , Daniel P. Palomar , Michael Muma

When hypotheses are tested in a stream and real-time decision-making is needed, online sequential hypothesis testing procedures are needed. Furthermore, these hypotheses are commonly partitioned into groups by their nature. For example, the…

Methodology · Statistics 2025-06-05 Runqiu Wang , Ran Dai

Variable selection in cluster analysis is important yet challenging. It can be achieved by regularization methods, which realize a trade-off between the clustering accuracy and the number of selected variables by using a lasso-type penalty.…

Methodology · Statistics 2016-12-23 Marbac Matthieu , Sedki Mohammed

The genetic basis of multiple phenotypes such as gene expression, metabolite levels, or imaging features is often investigated by testing a large collection of hypotheses, probing the existence of association between each of the traits and…

Applications · Statistics 2015-04-06 Christine Peterson , Marina Bogomolov , Yoav Benjamini , Chiara Sabatti

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

Conformal methods provide prediction sets for outcomes with confidence guarantees. We study their use in a selective inference setting, where inference is performed only when the prediction set is informative. The analyst may consider as…

Methodology · Statistics 2026-05-22 Israela Solomon , Etienne Roquain , Saharon Rosset , Ruth Heller

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

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

Controlling false discovery rate (FDR) is crucial for variable selection, multiple testing, among other signal detection problems. In literature, there is certainly no shortage of FDR control strategies when selecting individual features,…

Methodology · Statistics 2022-04-11 Jingyuan Liu , Ao Sun , Yuan Ke

In this manuscript, a new high-dimensional approach for simultaneous variable and group selection is proposed, called sparse-group SLOPE (SGS). SGS achieves false discovery rate control at both variable and group levels by incorporating the…

Methodology · Statistics 2023-05-17 Fabio Feser , Marina Evangelou

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,…

Methodology · Statistics 2025-09-05 Yang Cao , Hangyu Lin , Xinwei Sun , Yuan Yao

This paper considers the problem of variable selection in regression models in the case of functional variables that may be mixed with other type of variables (scalar, multivariate, directional, etc.). Our proposal begins with a simple null…

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…

Methodology · Statistics 2021-02-16 Wanjun Liu , Yuan Ke , Jingyuan Liu , Runze Li

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…

Methodology · Statistics 2022-01-10 Xiaowu Dai , Xiang Lyu , Lexin Li

Correlation networks are commonly used to infer associations between microbes and metabolites. The resulting p-values are then corrected for multiple comparisons using existing methods such as the Benjamini and Hochberg procedure to control…

Methodology · Statistics 2025-06-17 Jing Ma

Differentially private multiple testing procedures can protect the information of individuals used in hypothesis tests while guaranteeing a small fraction of false discoveries. In this paper, we propose a differentially private adaptive FDR…

Machine Learning · Statistics 2023-06-01 Xintao Xia , Zhanrui Cai

A previously proved theorem gives sufficient conditions for an estimator of the false discovery rate (FDR) to conservatively converge to the FDR with probability 1 as the number of hypothesis tests increases, even for small sample sizes. It…

Genomics · Quantitative Biology 2007-05-23 David R. Bickel

In this paper, a noisy version of the stochastic block model (NSBM) is introduced and we investigate the three following statistical inferences in this model: estimation of the model parameters, clustering of the nodes and identification of…

Statistics Theory · Mathematics 2019-07-25 Tabea Rebafka , Etienne Roquain , Fanny Villers
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