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Penalized regression methods are an attractive tool for high-dimensional data analysis, but their widespread adoption has been hampered by the difficulty of applying inferential tools. In particular, the question "How reliable is the…

Statistics Theory · Mathematics 2026-05-13 Patrick Breheny

Variable selection on the large-scale networks has been extensively studied in the literature. While most of the existing methods are limited to the local functionals especially the graph edges, this paper focuses on selecting the discrete…

Methodology · Statistics 2023-09-18 Lu Zhang , Junwei Lu

False discovery rate (FDR) is a cornerstone of modern multiple testing. However, it often fails to guarantee the reliability of "marginal" discoveries that lie at the boundary of the rejection set, which are often crucial in high-precision…

Methodology · Statistics 2026-05-12 Yifan Zhang , Wentao Zhang , Changliang Zou , Haojie Ren

This paper is a review of the popular Benjamini Hochberg Method and other related useful methods of Multiple Hypothesis testing. This is written with the purpose of serving a short but complete easy to understand review of the main article…

Methodology · Statistics 2014-06-30 Anish Acharya

Motivation: Target-decoy search (TDS) is currently the most popular strategy for estimating and controlling the false discovery rate (FDR) of peptide identifications in mass spectrometry-based shotgun proteomics. While this strategy is very…

Applications · Statistics 2015-01-06 Kun He , Yan Fu , Wen-Feng Zeng , Lan Luo , Hao Chi , Chao Liu , Lai-Yun Qing , Rui-Xiang Sun , Si-Min He

Due to the diversity of brain anatomy and the scarcity of annotated data, supervised anomaly detection for brain MRI remains challenging, driving the development of unsupervised anomaly detection (UAD) approaches. Current UAD methods…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Hao Li , Zhenfeng Zhuang , Jingyu Lin , Yu Liu , Yifei Chen , Qiong Peng , Lequan Yu , Liansheng Wang

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

The false discovery rate (FDR) and the false non-discovery rate (FNR), defined as the expected false discovery proportion (FDP) and the false non-discovery proportion (FNP), are the most popular benchmarks for multiple testing. Despite the…

Statistics Theory · Mathematics 2025-09-03 Yutong Nie , Yihong Wu

Advanced computing and data acquisition technologies have made possible the collection of high-dimensional data streams in many fields. Efficient online monitoring tools which can correctly identify any abnormal data stream for such data…

Methodology · Statistics 2017-12-15 Jun Li

False discovery rates (FDR) are typically estimated from a mixture of a null and an alternative distribution. Here, we study a complementary approach proposed by Rice and Spiegelhalter (2008) that uses as primary quantities the null model…

Methodology · Statistics 2011-08-03 Bernd Klaus , Korbinian Strimmer

Despite recent advancements in federated learning (FL) for medical image diagnosis, addressing data heterogeneity among clients remains a significant challenge for practical implementation. A primary hurdle in FL arises from the non-IID…

Machine Learning · Computer Science 2024-07-09 Pranab Sahoo , Ashutosh Tripathi , Sriparna Saha , Samrat Mondal

The uncertainty quantification and error control of classifiers are crucial in many high-consequence decision-making scenarios. We propose a selective classification framework that provides an indecision option for any observations that…

Methodology · Statistics 2022-10-11 Bowen Gang , Yuantao Shi , Wenguang Sun

The steep rise in availability and usage of high-throughput technologies in biology brought with it a clear need for methods to control the False Discovery Rate (FDR) in multiple tests. Benjamini and Hochberg (BH) introduced in 1995 a…

Methodology · Statistics 2011-08-11 Amit Zeisel , Or Zuk , Eytan Domany

Background: Functional magnetic resonance imaging (fMRI) provides non-invasive measures of neuronal activity using an endogenous Blood Oxygenation-Level Dependent (BOLD) contrast. This article introduces a nonlinear dimensionality reduction…

Image and Video Processing · Electrical Eng. & Systems 2019-12-09 Gagan Sidhu

Cluster-level inference procedures are widely used for brain mapping. These methods compare the size of clusters obtained by thresholding brain maps to an upper bound under the global null hypothesis, computed using Random Field Theory or…

Methodology · Statistics 2022-07-27 Alexandre Blain , Bertrand Thirion , Pierre Neuvial

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

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…

Methodology · Statistics 2025-01-30 Runqiu Wang , Ran Dai , Hongying Dai , Evan French , Cheng Zheng

Multiple testing with false discovery rate (FDR) control has been widely conducted in the ``discrete paradigm" where p-values have discrete and heterogeneous null distributions. However, in this scenario existing FDR procedures often lose…

Methodology · Statistics 2019-07-23 Xiongzhi Chen , R. W. Doerge , Sanat K. Sarkar

Signal identification in large-dimensional settings is a challenging problem in biostatistics. Recently, the method of higher criticism (HC) was shown to be an effective means for determining appropriate decision thresholds. Here, we study…

Methodology · Statistics 2012-12-21 Bernd Klaus , Korbinian Strimmer

This paper proposes novel inferential procedures for discovering the network Granger causality in high-dimensional vector autoregressive models. In particular, we mainly offer two multiple testing procedures designed to control the false…

Methodology · Statistics 2024-11-14 Yoshimasa Uematsu , Takashi Yamagata