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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

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

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

The group testing approach that achieves significant cost reduction over the individual testing approach has received a lot of interest lately for massive testing of COVID-19. Many studies simply assume samples mixed in a group are…

Methodology · Statistics 2021-11-12 Yi-Jheng Lin , Che-Hao Yu , Tzu-Hsuan Liu , Cheng-Shang Chang , Wen-Tsuen Chen

Group testing was conceived during World War II to identify soldiers infected with syphilis using as few tests as possible, and it has attracted renewed interest during the COVID-19 pandemic. A long-standing assumption in the probabilistic…

Social and Information Networks · Computer Science 2022-11-18 Surin Ahn , Wei-Ning Chen , Ayfer Ozgur

Group testing can help maintain a widespread testing program using fewer resources amid a pandemic. In a group testing setup, we are given n samples, one per individual. Each individual is either infected or uninfected. These samples are…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Shu-Jie Cao , Ritesh Goenka , Chau-Wai Wong , Ajit Rajwade , Dror Baron

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

In this paper, we consider the problem of designing optimal pooling matrix for group testing (for example, for COVID-19 virus testing) with the constraint that no more than $r>0$ samples can be pooled together, which we call "dilution…

Quantitative Methods · Quantitative Biology 2020-08-06 Jirong Yi , Myung Cho , Xiaodong Wu , Raghu Mudumbai , Weiyu Xu

The investment of time and resources for better strategies and methodologies to tackle a potential pandemic is key to deal with potential outbreaks of new variants or other viruses in the future. In this work, we recreated the scene of a…

Machine Learning · Computer Science 2021-04-22 Andrés L. Suárez-Cetrulo , Ankit Kumar , Luis Miralles-Pechuán

With the increasing spread of COVID-19, it is important to systematically test more and more people. The current strategy for test-kit allocation is mostly rule-based, focusing on individuals having (a) symptoms for COVID-19, (b) travel…

Artificial Intelligence · Computer Science 2020-04-07 Arpita Biswas , Shruthi Bannur , Prateek Jain , Srujana Merugu

We consider a version of the classical group testing problem motivated by PCR testing for COVID-19. In the so-called tropical group testing model, the outcome of a test is the lowest cycle threshold (Ct) level of the individuals pooled…

Information Theory · Computer Science 2024-10-15 Vivekanand Paligadu , Oliver Johnson , Matthew Aldridge

Group testing has recently attracted significant attention from the research community due to its applications in diagnostic virology. An instance of the group testing problem includes a ground set of individuals which includes a small…

Information Theory · Computer Science 2022-02-25 Esmaeil Karimi , Anoosheh Heidarzadeh , Krishna R. Narayanan , Alex Sprintson

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

Accurate detection of infected individuals is one of the critical steps in stopping any pandemic. When the underlying infection rate of the disease is low, testing people in groups, instead of testing each individual in the population, can…

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

We study practically efficient methods for performing combinatorial group testing. We present efficient non-adaptive and two-stage combinatorial group testing algorithms, which identify the at most d items out of a given set of n items that…

Data Structures and Algorithms · Computer Science 2011-11-09 David Eppstein , Michael T. Goodrich , Daniel S. Hirschberg

Long-term care facilities have been widely affected by the COVID-19 pandemic. Retirement homes are particularly vulnerable due to the higher mortality risk of infected elderly individuals. Once an outbreak occurs, suppressing the spread of…

Optimization and Control · Mathematics 2022-04-06 Mansoor Davoodi , Ana Batista , Abhishek Senapati , Weronika Schlechte-Welnicz , Birgit Wagner , Justin M. Calabrese

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

The COVID-19 crisis highlighted the importance of non-medical interventions, such as testing and isolation of infected individuals, in the control of epidemics. Here, we show how to minimize testing needs while maintaining the number of…

Systems and Control · Electrical Eng. & Systems 2024-07-04 D. Acemoglu , A. Fallah , A. Giometto , D. Huttenlocher , A. Ozdaglar , F. Parise , S. Pattathil

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