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The group testing problem asks for efficient pooling schemes and algorithms that allow to screen moderately large numbers of samples for rare infections. The goal is to accurately identify the infected samples while conducting the least…

Artificial Intelligence · Computer Science 2021-05-19 AminCoja-Oghlan , Max Hahn-Klimroth , Philipp Loick , Manuel Penschuck

The outbreak of the global COVID-19 pandemic results in unprecedented demand for fast and efficient testing of large numbers of patients for the presence of SARS-CoV-2 coronavirus. Beside technical improvements of the cost and speed of…

Methodology · Statistics 2020-12-16 Andrzej Jaszkiewicz

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 argue that frequent sampling of the fraction of infected people (either by random testing or by analysis of sewage water), is central to managing the COVID-19 pandemic because it both measures in real time the key variable controlled by…

Populations and Evolution · Quantitative Biology 2020-07-24 Markus Müller , Peter M. Derlet , Christopher Mudry , Gabriel Aeppli

COVID-19 testing has become a standard approach for estimating prevalence which then assist in public health decision making to contain and mitigate the spread of the disease. The sampling designs used are often biased in that they do not…

Methodology · Statistics 2022-02-24 Daniel Andrés Díaz-Pachón , J Sunil Rao

Rapid testing of appropriate specimens from patients suspected for a disease during an epidemic, such as the current Coronavirus outbreak, is of a great importance for the disease management and control. We propose a method to enhance…

Quantitative Methods · Quantitative Biology 2020-04-27 Usama Kadri

COVID-19 has resulted in a global health crisis that may become even more acute over the upcoming months. One of the main reasons behind the current rapid growth of COVID-19 in the U.S. population is the limited availability of testing kits…

Information Theory · Computer Science 2020-04-13 Krishna R. Narayanan , Anoosheh Heidarzadeh , Ramanan Laxminarayan

Pooled and individual disease testing are common methods for determining the population prevalences of diseases. Recently, researchers have used Monte Carlo Markov Chain methods to estimate population prevalence from the combined streams of…

Methodology · Statistics 2023-08-23 Matthew Ritch , Charles Copley

Estimating prevalence, the fraction of a population with a certain medical condition, is fundamental to epidemiology. Traditional methods rely on classification of test samples taken at random from a population. Such approaches to…

Methodology · Statistics 2022-03-25 Paul Patrone , Anthony Kearsley

We consider the problem of deciding how best to target and prioritize existing vaccines that may offer protection against new variants of an infectious disease. Sequential experiments are a promising approach; however, challenges due to…

Methodology · Statistics 2022-06-22 Han Wu , Stefan Wager

CoVID-19 is currently one of the biggest threats to mankind. To date, it is the reason for infections of over 35 lakhs and the death of over 2 lakh human beings. We propose a procedure to detect CoVID-19 affected localities using a sewage…

Other Quantitative Biology · Quantitative Biology 2020-05-18 Ritam Guha , Anik Sengupta , Ankan Dutta

A key requirement in containing contagious diseases, such as the Coronavirus disease 2019 (COVID-19) pandemic, is the ability to efficiently carry out mass diagnosis over large populations. Some of the leading testing procedures, such as…

Quantitative Methods · Quantitative Biology 2022-08-31 Amit Solomon , Alejandro Cohen , Nir Shlezinger , Yonina C. Eldar , Muriel Médard

In comparison with individual testing, group testing (also known as pooled testing) is more efficient in reducing the number of tests and potentially leading to tremendous cost reduction. As indicated in the recent article posted on the US…

Populations and Evolution · Quantitative Biology 2021-06-16 Yi-Jheng Lin , Che-Hao Yu , Tzu-Hsuan Liu , Cheng-Shang Chang , Wen-Tsuen Chen

We propose a partial identification method for estimating disease prevalence from serology studies. Our data are results from antibody tests in some population sample, where the test parameters, such as the true/false positive rates, are…

Methodology · Statistics 2020-06-30 Panos Toulis

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

Group testing allows saving chemical reagents, analysis time, and costs, by testing pools of samples instead of individual samples. We introduce a class of group testing protocols with small dilution, suited to operate even at high…

Physics and Society · Physics 2022-03-09 Marco Chiani , Gianluigi Liva , Enrico Paolini

We have a large number of samples and we want to find the infected ones using as few number of tests as possible. We can use group testing which tells about a small group of people whether at least one of them is infected. Group testing is…

Quantitative Methods · Quantitative Biology 2020-05-07 Endre Csóka

We present double pooling, a simple, easy-to-implement variation on test pooling, that in certain ranges for the a priori probability of a positive test, is significantly more efficient than the standard single pooling approach (the Dorfman…

Discrete Mathematics · Computer Science 2020-04-06 Andrei Z. Broder , Ravi Kumar

Countries officially record the number of COVID-19 cases based on medical tests of a subset of the population with unknown participation bias. For prevalence estimation, the official information is typically discarded and, instead, small…

Methodology · Statistics 2020-12-25 Stéphane Guerrier , Christoph Kuzmics , Maria-Pia Victoria-Feser

Large scale disease screening is a complicated process in which high costs must be balanced against pressing public health needs. When the goal is screening for infectious disease, one approach is group testing in which samples are…

Applications · Statistics 2021-03-02 Gregory Haber , Yaakov Malinovsky , Paul S. Albert