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We explore a very simple distribution of unitaries: random (binary) phase -- Hadamard -- random (binary) phase -- random computational-basis permutation. We show that this distribution is statistically indistinguishable from random Haar…

Quantum Physics · Physics 2024-04-18 Zvika Brakerski , Nir Magrafta

We consider a small extent sensor network for event detection, in which nodes take samples periodically and then contend over a {\em random access network} to transmit their measurement packets to the fusion center. We consider two…

Networking and Internet Architecture · Computer Science 2016-11-18 Premkumar Karumbu , Venkata K. Prasanthi M. , Anurag Kumar

Deep neural networks are proven to be vulnerable to data poisoning attacks. Recently, a specific type of data poisoning attack known as availability attacks has led to the failure of data utilization for model learning by adding…

Cryptography and Security · Computer Science 2024-08-16 Yi Yu , Qichen Zheng , Siyuan Yang , Wenhan Yang , Jun Liu , Shijian Lu , Yap-Peng Tan , Kwok-Yan Lam , Alex Kot

It is frequently of interest to jointly analyze multiple sequences of multiple tests in order to identify simultaneous signals, defined as features tested in multiple studies whose test statistics are non-null in each. In many problems,…

Methodology · Statistics 2019-01-16 Sihai Dave Zhao , Yet Tien Nguyen

Conformal inference provides a general distribution-free method to rigorously calibrate the output of any machine learning algorithm for novelty detection. While this approach has many strengths, it has the limitation of being randomized,…

Machine Learning · Computer Science 2023-10-25 Meshi Bashari , Amir Epstein , Yaniv Romano , Matteo Sesia

Multiple hypothesis testing has been widely applied to problems dealing with high-dimensional data, e.g., selecting significant variables and controlling the selection error rate. The most prevailing measure of error rate used in the…

Methodology · Statistics 2022-06-07 Xiaoya Sun , Yan Fu

We develop statistically based methods to detect single nucleotide DNA mutations in next generation sequencing data. Sequencing generates counts of the number of times each base was observed at hundreds of thousands to billions of genome…

Applications · Statistics 2012-10-01 Omkar Muralidharan , Georges Natsoulis , John Bell , Hanlee Ji , Nancy R. Zhang

We propose the use of a new false discovery rate (FDR) controlling procedure as a model selection penalized method, and compare its performance to that of other penalized methods over a wide range of realistic settings: nonorthogonal design…

Applications · Statistics 2009-05-19 Yoav Benjamini , Yulia Gavrilov

The False Discovery Rate (FDR) is a commonly used type I error rate in multiple testing problems. It is defined as the expected False Discovery Proportion (FDP), that is, the expected fraction of false positives among rejected hypotheses.…

Statistics Theory · Mathematics 2013-10-04 Pierre Neuvial

Distribution-free predictive inference beyond the construction of prediction sets has gained a lot of interest in recent applications. One such application is the selection task, where the objective is to design a reliable selection rule to…

Methodology · Statistics 2025-01-07 Yonghoon Lee , Zhimei Ren

This work studies distributed multiple testing with false discovery rate (FDR) control in the presence of Byzantine attacks, where an adversary captures a fraction of the nodes and corrupts their reported p-values. We focus on two baseline…

Signal Processing · Electrical Eng. & Systems 2025-04-28 Daofu Zhang , Mehrdad Pournaderi , Yu Xiang , Pramod Varshney

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

In this paper, distributed Bayesian detection problems with unknown prior probabilities of hypotheses are considered. The sensors obtain observations which are conditionally dependent across sensors and their probability density functions…

Information Theory · Computer Science 2012-09-20 Xiaojing Shen , Pramod K. Varshney , Yunmin Zhu

We show that the control of the false discovery rate (FDR) for a multiple testing procedure is implied by two coupled simple sufficient conditions. The first one, which we call ``self-consistency condition'', concerns the algorithm itself,…

Statistics Theory · Mathematics 2008-10-21 Gilles Blanchard , Etienne Roquain

This study aims to predict failure times for some units in some lifetime experiments. In some practical situations, the experimenter may not be able to register the failure times of all units during the experiment. Recently, this situation…

Statistics Theory · Mathematics 2023-04-13 Mahmoud Mansour , Mohamed Aboshady

Estimating the impact of systematic uncertainties in particle physics experiments is challenging, especially since the detector response is unknown analytically in most situations and needs to be estimated through Monte Carlo (MC)…

High Energy Physics - Experiment · Physics 2023-07-28 Leander Fischer , Richard Naab , Alexandra Trettin

Distribution-level phasor measurement units, a.k.a, micro-PMUs, report a large volume of high resolution phasor measurements which constitute a variety of event signatures of different phenomena that occur all across power distribution…

Signal Processing · Electrical Eng. & Systems 2021-03-08 Armin Aligholian , Alireza Shahsavari , Emma Stewart , Ed Cortez , Hamed Mohsenian-Rad

Multiple testing is a fundamental problem in high-dimensional statistical inference. Although many methods have been proposed to control false discoveries, it is still a challenging task when the tests are correlated to each other. To…

Statistics Theory · Mathematics 2022-07-06 Meng Mei , Yuan Jiang

Multiple hypothesis testing, a situation when we wish to consider many hypotheses, is a core problem in statistical inference that arises in almost every scientific field. In this setting, controlling the false discovery rate (FDR), which…

Statistics Theory · Mathematics 2019-03-19 Shiyun Chen , Shiva Kasiviswanathan

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