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The problem of Group Testing is to identify defective items out of a set of objects by means of pool queries of the form "Does the pool contain at least a defective?". The aim is of course to perform detection with the fewest possible…

Statistical Mechanics · Physics 2009-11-13 M. Mézard , M. Tarzia , C. Toninelli

Polymerase chain reaction (PCR) testing is the gold standard for diagnosing COVID-19. PCR amplifies the virus DNA 40 times to produce measurements of viral loads that span seven orders of magnitude. Unfortunately, the outputs of these tests…

Quantitative Methods · Quantitative Biology 2022-01-19 Hsin-Po Wang , Ryan Gabrys , Alexander Vardy

We propose a compressed sensing-based testing approach with a practical measurement design and a tuning-free and noise-robust algorithm for detecting infected persons. Compressed sensing results can be used to provably detect a small number…

Information Theory · Computer Science 2023-05-15 Hendrik Bernd Petersen , Bubacarr Bah , Peter Jung

We study the problem usually referred to as group testing in the context of COVID-19. Given n samples collected from patients, how should we select and test mixtures of samples to maximize information and minimize the number of tests? Group…

Machine Learning · Computer Science 2020-08-07 Louis Abraham , Gary Becigneul , Benjamin Coleman , Bernhard Scholkopf , Anshumali Shrivastava , Alexander Smola

Detection of rare traits or diseases in a large population is challenging. Pool testing allows covering larger swathes of population at a reduced cost, while simplifying logistics. However, testing precision decreases as it becomes unclear…

Information Theory · Computer Science 2021-06-22 Éric Brier , Megi Dervishi , Rémi Géraud-Stewart , David Naccache , Ofer Yifrach-Stav

We propose two-stage adaptive pooling schemes, 2-STAP and 2-STAMP, for detecting COVID-19 using real-time reverse transcription quantitative polymerase chain reaction (RT-qPCR) test kits. Similar to the Tapestry scheme of Ghosh et al., the…

Information Theory · Computer Science 2020-07-07 Anoosheh Heidarzadeh , Krishna R. Narayanan

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

Estimating the prevalence of a disease is necessary for evaluating and mitigating risks of its transmission within or between populations. Estimates that consider how prevalence changes with time provide more information about these risks…

Applications · Statistics 2021-11-12 Braden Scherting , Alison Peel , Raina Plowright , Andrew Hoegh

Group testing enables to identify infected individuals in a population using a smaller number of tests than individual testing. To achieve this, group testing algorithms commonly assume knowledge of the number of infected individuals;…

Information Theory · Computer Science 2023-05-16 Chaorui Yao , Pavlos Nikolopoulos , Christina Fragouli

Group testing is one of the fundamental problems in coding theory and combinatorics in which one is to identify a subset of contaminated items from a given ground set. There has been renewed interest in group testing recently due to its…

Information Theory · Computer Science 2022-02-11 Mira Gonen , Michael Langberg , Alex Sprintson

The first part of the paper presents a review of the gold-standard testing protocol for Covid-19, real-time, reverse transcriptase PCR, and its properties and associated measurement data such as amplification curves that can guide the…

Quantitative Methods · Quantitative Biology 2021-06-08 Ryan Gabrys , Srilakshmi Pattabiraman , Vishal Rana , João Ribeiro , Mahdi Cheraghchi , Venkatesan Guruswami , Olgica Milenkovic

Fast testing can help mitigate the coronavirus disease 2019 (COVID-19) pandemic. Despite their accuracy for single sample analysis, infectious diseases diagnostic tools, like RT-PCR, require substantial resources to test large populations.…

Quantitative Methods · Quantitative Biology 2020-04-08 Junan Zhu , Kristina Rivera , Dror Baron

Pooling specimens, a well-accepted sampling strategy in biomedical research, can be applied to reduce the cost of studying biomarkers. Even if the cost of a single assay is not a major restriction in evaluating biomarkers, pooling can be a…

Applications · Statistics 2012-03-01 Enrique F. Schisterman , Albert Vexler , Aijun Ye , Neil J. Perkins

There are multiple testing methods to ascertain an infection in an individual and they vary in their performances, cost and delay. Unfortunately, better performing tests are sometimes costlier and time consuming and can only be done for a…

Social and Information Networks · Computer Science 2021-06-17 Harish Sasikumar , Manoj Varma

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

Population-wide screening is a powerful tool for controlling infectious diseases. Group testing enables such screening despite limited resources. Viral concentration of pooled samples are often positively correlated, either because…

Applications · Statistics 2025-04-01 Jiayue Wan , Yujia Zhang , Peter I. Frazier

With the ongoing COVID-19 pandemic, understanding the characteristics of the virus has become an important and challenging task in the scientific community. While tests do exist for COVID-19, the goal of our research is to explore other…

Computer Vision and Pattern Recognition · Computer Science 2021-12-02 Jacob Householder , Andrew Householder , John Paul Gomez-Reed , Fredrick Park , Shuai Zhang

Large-scale testing is crucial in pandemic containment, but resources are often prohibitively constrained. We study the optimal application of pooled testing for populations that are heterogeneous with respect to an individual's infection…

Computer Science and Game Theory · Computer Science 2023-09-22 Simon Finster , Michelle González Amador , Edwin Lock , Francisco Marmolejo-Cossío , Evi Micha , Ariel D. Procaccia

We consider the problem of identifying infected individuals in a population of size N. We introduce a group testing approach that uses significantly fewer than N tests when infection prevalence is low. The most common approach to group…

Applications · Statistics 2022-01-03 Paolo Bertolotti , Ali Jadbabaie

Group testing is a technique which avoids individually testing $n$ samples for a rare disease and instead tests $n < p$ pools, where a pool consists of a mixture of small, equal portions of a subset of the $p$ samples. Group testing saves…

Statistics Theory · Mathematics 2023-08-29 Richeek Das , Aaron Jerry Ninan , Adithya Bhaskar , Ajit Rajwade