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Related papers: Pooled testing to isolate infected individuals

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Current pooling rules for multiply imputed data assume infinite populations. In some situations this assumption is not feasible as every unit in the population has been observed, potentially leading to over-covered population estimates. We…

Statistics Theory · Mathematics 2014-10-01 Gerko Vink , Stef van Buuren

During the COVID-19 pandemic, many institutions such as universities and workplaces implemented testing regimens with every member of some population tested longitudinally, and those testing positive isolated for some time. Although the…

Methodology · Statistics 2023-04-19 Patrick M. Schnell , Matthew Wascher , Grzegorz A. Rempala

The group testing problem is concerned with identifying a small set of infected individuals in a large population. At our disposal is a testing procedure that allows us to test several individuals together. In an idealized setting, a test…

Information Theory · Computer Science 2023-09-19 Oliver Gebhard , Oliver Johnson , Philipp Loick , Maurice Rolvien

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

There are many hard-to-reconcile numbers circulating concerning Covid-19. Using reports from random testing, the fatality ratio per infection is evaluated and used to extract further information on the actual fraction of infections and the…

Populations and Evolution · Quantitative Biology 2020-05-25 Allen Caldwell , Vasyl Hafych , Oliver SChulz , Lolian Shtembari

Non-adaptive group testing refers to the problem of inferring a sparse set of defectives from a larger population using the minimum number of simultaneous pooled tests. Recent positive results for noiseless group testing have motivated the…

Information Theory · Computer Science 2021-07-16 Gabriel Arpino , Nicolò Grometto , Afonso S. Bandeira

Pooled testing is a common strategy for public health disease screening under limited testing resources, allowing multiple biological samples to be tested together with the resources of a single test, at the cost of reduced individual…

Computer Science and Game Theory · Computer Science 2026-02-02 Nicholas Lopez , Francisco Marmolejo-Cossío , Jose Roberto Tello Ayala , David C. Parkes

In order to identify the infected individuals of a population, their samples are divided in equally sized groups called pools and a single laboratory test is applied to each pool. Individuals whose samples belong to pools that test negative…

Statistics Theory · Mathematics 2021-10-06 Inés Armendáriz , Pablo A. Ferrari , Daniel Fraiman , José M. Martínez , Silvina Ponce Dawson

As Europe is experiencing a second violent CoVid-19 storm, with the PCR-based testing system deteriorating due to the high volumes of people to be tested daily, there is a general reconsideration of the mathematical theories at the basis of…

Physics and Society · Physics 2021-05-18 Marco Roccetti , Giovanni Delnevo

Group testing is the process of pooling arbitrary subsets from a set of $n$ items so as to identify, with a minimal number of tests, a "small" subset of $d$ defective items. In "classical" non-adaptive group testing, it is known that when…

Information Theory · Computer Science 2018-09-21 Venkata Gandikota , Elena Grigorescu , Sidharth Jaggi , Samson Zhou

The original problem of group testing consists in the identification of defective items in a collection, by applying tests on groups of items that detect the presence of at least one defective item in the group. The aim is then to identify…

Applications · Statistics 2021-06-10 Emilien Joly , Bastien Mallein

The group testing problem is concerned with identifying a small set of $k$ infected individuals in a large population of $n$ people. At our disposal is a testing scheme that can test groups of individuals. A test comes back positive if and…

Information Theory · Computer Science 2021-03-25 Oliver Gebhard , Philipp Loick

We study the group testing problem where the goal is to identify a set of k infected individuals carrying a rare disease within a population of size n, based on the outcomes of pooled tests which return positive whenever there is at least…

Machine Learning · Statistics 2022-06-16 Amin Coja-Oghlan , Oliver Gebhard , Max Hahn-Klimroth , Alexander S. Wein , Ilias Zadik

To strengthen inferences meta analyses are commonly used to summarize information from a set of independent studies. In some cases, though, the data may not satisfy the assumptions underlying the meta analysis. Using three Bayesian methods…

Applications · Statistics 2022-04-07 Dexter Cahoy , Joseph Sedransk

We study the problem usually referred to as group testing in the context of COVID-19. Given $n$ samples taken from patients, how should we select mixtures of samples to be tested, so as to maximize information and minimize the number of…

Methodology · Statistics 2020-05-14 Louis Abraham , Gary Bécigneul , Bernhard Schölkopf

Coronavirus disease 2019 (COVID-19) is an ongoing pandemic infectious disease outbreak that has significantly harmed and threatened the health and lives of millions or even billions of people. COVID-19 has also negatively impacted the…

Quantitative Methods · Quantitative Biology 2020-04-14 Jirong Yi , Raghu Mudumbai , Weiyu Xu

In this article we propose a compartmental model for the dynamics of Coronavirus Disease 2019 (COVID-19). We take into account the presence of asymptomatic infections and the main policies that have been adopted so far to contain the…

Populations and Evolution · Quantitative Biology 2020-05-18 M. Soledad Aronna , Roberto Guglielmi , Lucas M. Moschen

The SARS-CoV-2 outbreak changed the everyday life of almost all the people over the world.Currently, we are facing with the problem of containing the spread of the virus both using the more effective forced lockdown, which has the drawback…

Social and Information Networks · Computer Science 2021-03-23 Alessandro Nuara , Francesco Trovò , Nicola Gatti

This paper develops an agent-based disease spread model on a contact network in an effort to guide efforts at surveillance testing in small to moderate facilities such as nursing homes and meat-packing plants. The model employs Monte Carlo…

Populations and Evolution · Quantitative Biology 2021-10-04 Yanyue Ding , Sudesh K. Agrawal , Jincheng Cao , Lauren Meyers , John J. Hasenbein

In the last months, due to the emergency of Covid-19, questions related to the fact of belonging or not to a particular class of individuals (`infected or not infected'), after being tagged as `positive' or `negative' by a test, have never…

Populations and Evolution · Quantitative Biology 2020-11-23 Giulio D'Agostini , Alfredo Esposito
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