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The group testing problem concerns discovering a small number of defective items within a large population by performing tests on pools of items. A test is positive if the pool contains at least one defective, and negative if it contains no…

Information Theory · Computer Science 2026-05-15 Matthew Aldridge , Oliver Johnson , Jonathan Scarlett

COVID-19, a viral respiratory pandemic, has rapidly spread throughout the globe. Large scale and rapid testing of the population is required to contain the disease, but such testing is prohibitive in terms of resources, cost and time.…

Populations and Evolution · Quantitative Biology 2020-07-21 Abhishek Srivastava , Anurag Mishra , Trusha Jayant Parekh , Sampreeti Jena

Serology testing can identify past infection by quantifying the immune response of an infected individual providing important public health guidance. Individual immune responses are time-dependent, which is reflected in antibody…

Quantitative Methods · Quantitative Biology 2022-08-04 Prajakta Bedekar , Anthony J. Kearsley , Paul N. Patrone

The paper is focused on the problem of estimating the probability $p$ of individual contaminated sample, under group testing. The precision of the estimator is given by the probability of proportional closeness, a concept defined in the…

Statistics Theory · Mathematics 2017-12-27 Yaakov Malinovsky , Shelemyahu Zacks

Group testing, a problem with diverse applications across multiple disciplines, traditionally assumes independence across nodes' states. Recent research, however, focuses on real-world scenarios that often involve correlations among nodes,…

Information Theory · Computer Science 2025-04-02 Hesam Nikpey , Saswati Sarkar , Shirin Saeedi Bidokhti

A two-sample hypothesis test is a statistical procedure used to determine whether the distributions generating two samples are identical. We consider the two-sample testing problem in a new scenario where the sample measurements (or sample…

Machine Learning · Computer Science 2024-07-01 Weizhi Li , Prad Kadambi , Pouria Saidi , Karthikeyan Natesan Ramamurthy , Gautam Dasarathy , Visar Berisha

Specimens are collected from $N$ different sources. Each specimen has probability $p$ of being contaminated (e.g., in the case of an infectious disease, $p$ is the prevalence rate), independently of the other specimens. In many cases group…

Probability · Mathematics 2024-01-31 Vassilis G. Papanicolaou

Group testing is a useful method that has broad applications in medicine, engineering, and even in airport security control. Consider a finite population of $N$ items, where item $i$ has a probability $p_i$ to be defective. The goal is to…

Other Statistics · Statistics 2017-04-17 Yaakov Malinovsky

Under limited available resources, strategies for mitigating the propagation of an epidemic such as random testing and contact tracing become inefficient. Here, we propose to accurately allocate the resources by computing over time an…

Physics and Society · Physics 2023-11-07 Gabriela Bayolo Soler , Miraine Dávila Felipe , Ghislaine Gayraud

When testing for a disease such as COVID-19, the standard method is individual testing: we take a sample from each individual and test these samples separately. An alternative is pooled testing (or "group testing"), where samples are mixed…

Applications · Statistics 2021-12-14 Matthew Aldridge , David Ellis

Identifying the infection status of each individual during infectious diseases informs public health management. However, performing frequent individual-level tests may not be feasible. Instead, sparse and sometimes group-level tests are…

Applications · Statistics 2023-06-06 Zahra Gholamalian , Zeinab Maleki , MasoudReza Hashemi , Pouria Ramazi

Large observational datasets, including those derived from electronic health records, are a valuable resource for medical research but are often affected by missingness, measurement error, and misclassification. Two-phase sampling with…

Methodology · Statistics 2026-03-23 Jasper B. Yang , Bryan E. Shepherd , Thomas Lumley , Pamela A. Shaw

State-of-the-art detection systems are generally evaluated on their ability to exhaustively retrieve objects densely distributed in the image, across a wide variety of appearances and semantic categories. Orthogonal to this, many real-life…

Computer Vision and Pattern Recognition · Computer Science 2020-04-28 Amelie Royer , Christoph H. Lampert

A simple, but ``classical``, stochastic model for epidemic spread in a finite, but large, population is studied. The progress of the epidemic can be divided into three different phases that requires different tools to analyse. Initially the…

Populations and Evolution · Quantitative Biology 2018-05-29 Åke Svensson

Two-sample tests evaluate whether two samples are realizations of the same distribution (the null hypothesis) or two different distributions (the alternative hypothesis). We consider a new setting for this problem where sample features are…

Machine Learning · Computer Science 2022-07-20 Weizhi Li , Gautam Dasarathy , Karthikeyan Natesan Ramamurthy , Visar Berisha

We consider the problem of collaborative distributed estimation in a large scale sensor network with statistically dependent sensor observations. In collaborative setup, the aim is to maximize the overall estimation performance by modeling…

Signal Processing · Electrical Eng. & Systems 2022-03-21 Shan Zhang , Pranay Sharma , Baocheng Geng , Pramod K. Varshney

Age-dependent dynamics is an important characteristic of many infectious diseases. Age-group epidemic models describe the infection dynamics in different age-groups by allowing to set distinct parameter values for each. However, such models…

Methodology · Statistics 2017-07-17 Rami Yaari , Itai Dattner , Amit Huppert

Group testing concerns itself with the accurate recovery of a set of "defective" items from a larger population via a series of tests. While most works in this area have considered the classical group testing model, where tests are binary…

Information Theory · Computer Science 2026-05-13 Daniel McMorrow , Nikhil Karamchandani , Sidharth Jaggi

This paper introduces a novel multi-stage decision-making model that integrates hypothesis testing and dynamic programming algorithms to address complex decision-making scenarios.Initially,we develop a sampling inspection scheme that…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Ziyang Liu , Yurui Hu , Yihan Deng

In this paper, we have developed new multistage tests which guarantee prescribed level of power and are more efficient than previous tests in terms of average sampling number and the number of sampling operations. Without truncation, the…

Statistics Theory · Mathematics 2011-06-14 Xinjia Chen
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