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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

We investigate the performance of a family of multiple comparison procedures for strong control of the False Discovery Rate ($\mathsf{FDR}$). The $\mathsf{FDR}$ is the expected False Discovery Proportion ($\mathsf{FDP}$), that is, the…

Statistics Theory · Mathematics 2008-11-21 Pierre Neuvial

In recent years, accelerated MRI reconstruction based on deep learning has led to significant improvements in image quality with impressive results for high acceleration factors. However, from a clinical perspective image quality is only…

Image and Video Processing · Electrical Eng. & Systems 2025-07-02 Jan Nikolas Morshuis , Christian Schlarmann , Thomas Küstner , Christian F. Baumgartner , Matthias Hein

In their recent article, Madej et al. 1 proposed an original way to solve the recurrent issue of controlling for the false discovery rate (FDR) in peptide-spectrum-match (PSM) validation. Briefly, they proposed to derive a single precise…

Genomics · Quantitative Biology 2022-10-18 Lucas Etourneau , Thomas Burger

We propose a joint channel estimation and data detection algorithm for massive multilple-input multiple-output systems based on diffusion models. Our proposed method solves the blind inverse problem by sampling from the joint posterior…

Signal Processing · Electrical Eng. & Systems 2023-11-20 Nicolas Zilberstein , Ananthram Swami , Santiago Segarra

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…

Methodology · Statistics 2010-12-21 Xu Han , Weijie Gu , Jianqing Fan

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

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

Multi-contrast images are commonly acquired together to maximize complementary diagnostic information, albeit at the expense of longer scan times. A time-efficient strategy to acquire high-quality multi-contrast images is to accelerate…

The rapidly expanding field of metabolomics presents an invaluable resource for understanding the associations between metabolites and various diseases. However, the high dimensionality, presence of missing values, and measurement errors…

We consider a multiple hypothesis testing problem in a sensor network over the joint spatio-temporal domain. The sensor network is modeled as a graph, with each vertex representing a sensor and a signal over time associated with each…

Signal Processing · Electrical Eng. & Systems 2025-01-23 Xingchao Jian , Martin Gölz , Feng Ji , Wee Peng Tay , Abdelhak M. Zoubir

We consider the problem of identifying whether findings replicate from one study of high dimension to another, when the primary study guides the selection of hypotheses to be examined in the follow-up study as well as when there is no…

Methodology · Statistics 2014-01-28 Marina Bogomolov , Ruth Heller

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

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

Multivariate statistics are often available as well as necessary in hypothesis tests. We study how to use such statistics to control not only false discovery rate (FDR) but also positive FDR (pFDR) with good power. We show that FDR can be…

Statistics Theory · Mathematics 2008-05-21 Zhiyi Chi

The False Discovery Rate (FDR) paradigm aims to attain certain control on Type I errors with relatively high power for multiple hypothesis testing. The Benjamini--Hochberg (BH) procedure is a well-known FDR controlling procedure. Under a…

Statistics Theory · Mathematics 2007-11-06 Zhiyi Chi

Dimensionality reduction (DR) plays a vital role in the visual analysis of high-dimensional data. One main aim of DR is to reveal hidden patterns that lie on intrinsic low-dimensional manifolds. However, DR often overlooks important…

Machine Learning · Computer Science 2023-02-28 Takanori Fujiwara , Yun-Hsin Kuo , Anders Ynnerman , Kwan-Liu Ma

Consider the problem of testing multiple null hypotheses. A classical approach to dealing with the multiplicity problem is to restrict attention to procedures that control the familywise error rate ($FWER$), the probability of even one…

Statistics Theory · Mathematics 2007-06-13 Joseph P. Romano , Azeem M. Shaikh

Differential privacy provides a rigorous framework for privacy-preserving data analysis. This paper proposes the first differentially private procedure for controlling the false discovery rate (FDR) in multiple hypothesis testing. Inspired…

Statistics Theory · Mathematics 2021-07-06 Cynthia Dwork , Weijie J. Su , Li Zhang

Motivation: Accurate estimation of false discovery rate (FDR) of spectral identification is a central problem in mass spectrometry-based proteomics. Over the past two decades, target decoy approaches (TDAs) and decoy-free approaches (DFAs),…

Quantitative Methods · Quantitative Biology 2020-09-18 Yisu Peng , Shantanu Jain , Yong Fuga Li , Michal Gregus , Alexander R. Ivanov , Olga Vitek , Predrag Radivojac