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Feature selection is a critical task in machine learning and statistics. However, existing feature selection methods either (i) rely on parametric methods such as linear or generalized linear models, (ii) lack theoretical false discovery…

Machine Learning · Statistics 2025-07-18 Omar Melikechi , David B. Dunson , Jeffrey W. Miller

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…

Machine Learning · Statistics 2015-11-10 Weijie Su , Junyang Qian , Linxi Liu

Distance-based regression model, as a nonparametric multivariate method, has been widely used to detect the association between variations in a distance or dissimilarity matrix for outcomes and predictor variables of interest in genetic…

Statistics Theory · Mathematics 2022-03-14 Yuke Shi , Wei Zhang , Aiyi Liu , Qizhai Li

While data-driven confounder selection requires careful consideration, it is frequently employed in observational studies. Widely recognized criteria for confounder selection include the minimal-set approach, which involves selecting…

Methodology · Statistics 2025-08-21 Kazuharu Harada , Masataka Taguri

We investigate asymptotically optimal multiple testing procedures for streams of sequential data in the context of prior information on the number of false null hypotheses ("signals"). We show that the "gap" and "gap-intersection"…

Methodology · Statistics 2020-05-04 Xinrui He , Jay Bartroff

Controlling the false discovery rate (FDR) is a popular approach to multiple testing, variable selection, and related problems of simultaneous inference. In many contemporary applications, models are not specified by discrete variables,…

Statistics Theory · Mathematics 2024-04-16 Mateo Díaz , Venkat Chandrasekaran

In a multiple testing context, we consider a semiparametric mixture model with two components where one component is known and corresponds to the distribution of $p$-values under the null hypothesis and the other component $f$ is…

Applications · Statistics 2013-04-04 Van Hanh Nguyen , Catherine Matias

Testing the equality in distributions of multiple samples is a common task in many fields. However, this problem for high-dimensional or non-Euclidean data has not been well explored. In this paper, we propose new nonparametric tests based…

Methodology · Statistics 2022-05-30 Hoseung Song , Hao Chen

We consider nonparametric or universal sequential hypothesis testing problem when the distribution under the null hypothesis is fully known but the alternate hypothesis corresponds to some other unknown distribution. These algorithms are…

Information Theory · Computer Science 2013-08-30 Jithin K. Sreedharan , Vinod Sharma

False discovery rate (FDR) controlling procedures provide important statistical guarantees for the replicability in signal identification based on multiple hypotheses testing. In many fields of study, FDR controlling procedures are used in…

Methodology · Statistics 2022-10-04 Ran Dai , Cheng Zheng

In this paper, we present a method that combines information-theoretical and statistical approaches to infer connectivity in complex networks using time-series data. The method is based on estimations of the Mutual Information Rate for…

Data Analysis, Statistics and Probability · Physics 2022-10-19 Chris G. Antonopoulos

This paper studies the estimation of high dimensional Gaussian graphical model (GGM). Typically, the existing methods depend on regularization techniques. As a result, it is necessary to choose the regularized parameter. However, the…

Methodology · Statistics 2013-06-06 Weidong Liu

Several classical methods exist for controlling the false discovery exceedance (FDX) for large scale multiple testing problems, among them the Lehmann-Romano procedure ([LR] below) and the Guo-Romano procedure ([GR] below). While these two…

Methodology · Statistics 2019-12-11 Sebastian Döhler , Etienne Roquain

Conformal inference is a versatile tool for building prediction sets in regression or classification. We study the false coverage proportion (FCP) in a simultaneous inference setting with a calibration sample of $n$ points and a test sample…

Statistics Theory · Mathematics 2026-02-19 Ulysse Gazin

This paper investigates sequential change-point detection in reconfigurable sensor networks. In this problem, data from multiple sensors are observed sequentially. Each sensor can have a unique change point, and the data distribution…

Methodology · Statistics 2025-04-10 Seungwon Lee , Yunxiao Chen , Xiaoou Li

Cluster analysis is an unsupervised learning strategy that can be employed to identify subgroups of observations in data sets of unknown structure. This strategy is particularly useful for analyzing high-dimensional data such as microarray…

Methodology · Statistics 2016-10-07 Erika S. Helgeson , Eric Bair

Tens of thousands of simultaneous hypothesis tests are routinely performed in genomic studies to identify differentially expressed genes. However, due to unmeasured confounders, many standard statistical approaches may be substantially…

Methodology · Statistics 2025-03-18 Jin-Hong Du , Larry Wasserman , Kathryn Roeder

The false discovery rate (FDR) and false nondiscovery rate (FNDR) have received considerable attention in the literature on multiple testing. These performance measures are also appropriate for classification, and in this work we develop…

Statistics Theory · Mathematics 2009-01-28 Clayton Scott , Gowtham Bellala , Rebecca Willett

We consider the problem of quickly detecting a signal in a sensor network when the subset of sensors in which signal may be present is completely unknown. We formulate this problem as a sequential hypothesis testing problem with a simple…

Statistics Theory · Mathematics 2013-11-12 Georgios Fellouris , Alexander Tartakovsky

The positive false discovery rate (pFDR) is a useful overall measure of errors for multiple hypothesis testing, especially when the underlying goal is to attain one or more discoveries. Control of pFDR critically depends on how much…

Statistics Theory · Mathematics 2011-11-09 Zhiyi Chi