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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 show that combining a prediction model (based on neural networks), with a new method of test pooling (better than the original Dorfman method, and better than double-pooling) called 'Grid', we can reduce the number of Covid-19 tests by…

Machine Learning · Computer Science 2020-05-13 Tomer Cohen , Lior Finkelman , Gal Grimberg , Gadi Shenhar , Ofer Strichman , Yonatan Strichman , Stav Yeger

The cataclysmic contagion based calamity -- Covid-19 has shown us a clear need for a comprehensive community based strategy that overcomes the sheer complexity of controlling it and the caveats of current methods. In this regard, as seen in…

Physics and Society · Physics 2021-09-17 Surya Dheeshjith , Inavamsi Enaganti , Bud Mishra

In one-stage or non-adaptive group testing, instead of testing every sample unit individually, they are split, bundled in pools, and simultaneously tested. The results are then decoded to infer the states of the individual items. This…

Applications · Statistics 2020-12-04 Christoph Schumacher , Matthias Täufer

In the current COVID19 crisis many national healthcare systems are confronted with an acute shortage of tests for confirming SARS-CoV-2 infections. For low overall infection levels in the population, pooling of samples can drastically…

Populations and Evolution · Quantitative Biology 2020-03-24 Rudolf Hanel , Stefan Thurner

Testing individuals for the presence of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), the pathogen causing the coronavirus disease 2019 (COVID-19), is crucial for curtailing transmission chains. Moreover, rapidly testing…

Applications · Statistics 2021-03-08 Yair Daon , Amit Huppert , Uri Obolski

In this paper, we propose algorithms that leverage a known community structure to make group testing more efficient. We consider a population organized in disjoint communities: each individual participates in a community, and its infection…

Information Theory · Computer Science 2021-03-18 Pavlos Nikolopoulos , Tao Guo , Sundara Rajan Srinivasavaradhan , Christina Fragouli , Suhas Diggavi

Suppressing SARS-CoV-2 will likely require the rapid identification and isolation of infected individuals, on an ongoing basis. RT-PCR (reverse transcription polymerase chain reaction) tests are accurate but costly, making regular testing…

Group testing is a screening strategy that involves dividing a population into several disjointed groups of subjects. In its simplest implementation, each group is tested with a single test in the first phase, while in the second phase only…

Group testing is utilized in the case when we want to find a few defectives among large amount of items. Testing n items one by one requires n tests, but if the ratio of defectives is small, group testing is an efficient way to reduce the…

Computation · Statistics 2024-05-16 Hiroyasu Matsushima , Yusuke Tajima , Xiao-Nan Lu , Masakazu Jimbo

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

The study in group testing aims to develop strategies to identify a small set of defective items among a large population using a few pooled tests. The established techniques have been highly beneficial in a broad spectrum of applications…

Information Theory · Computer Science 2025-01-23 Venkata Gandikota , Nikita Polyanskii , Haodong Yang

The motivation for this paper comes from the ongoing SARS-CoV-2 Pandemic. Its goal is to present a previously neglected approach to non-adaptive group testing and describes it in terms of residuated pairs on partially ordered sets. Our…

Other Statistics · Statistics 2022-02-15 Marcus Greferath , Cornelia Roessing

Group testing can save testing resources in the context of the ongoing COVID-19 pandemic. In group testing, we are given $n$ samples, one per individual, and arrange them into $m < n$ pooled samples, where each pool is obtained by mixing a…

Applications · Statistics 2023-11-03 Ritesh Goenka , Shu-Jie Cao , Chau-Wai Wong , Ajit Rajwade , Dror Baron

We present a method for efficient estimation of the prevalence of infection in a population with high accuracy using only a small number of tests. The presented approach uses pool testing with a mix of pool sizes of various sizes. The test…

Applications · Statistics 2020-04-08 Itsik Bergel

Controlling the COVID-19 pandemic is an urgent global challenge. The rapid geographic spread of SARS-CoV-2 directly reflects the social structure. Before effective vaccines and treatments are widely available, we have to rely on…

Physics and Society · Physics 2021-08-11 Karina I Mazzitello , Yi Jiang , Constancio M Arizmendi

Pooled testing is widely used for screening for viral or bacterial infections with low prevalence when individual testing is not cost-efficient. Pooled testing with qualitative assays that give binary results has been well-studied. However,…

Methodology · Statistics 2020-11-03 Tao Liu , Joseph W Hogan , Wanning Su , Yizhen Xu , Michael J Daniels , Kantor Rami

We consider the optimal strategy for laboratory testing of biological samples when we wish to know the results for each sample rather than the average prevalence of positive samples. If the proportion of positive samples is low considerable…

Quantitative Methods · Quantitative Biology 2010-07-29 Brian G. Williams

In identifying infected patients in a population, group testing is an effective method to reduce the number of tests and correct the test errors. In the group testing procedure, tests are performed on pools of specimens collected from…

Machine Learning · Statistics 2021-02-10 Ayaka Sakata

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