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Related papers: Pooled testing to isolate infected individuals

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In this paper, we introduce a variation of the group testing problem capturing the idea that a positive test requires a combination of multiple ``types'' of item. Specifically, we assume that there are multiple disjoint \emph{semi-defective…

Information Theory · Computer Science 2024-05-10 Thach V. Bui , Jonathan Scarlett

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

For large classes of group testing problems, we derive lower bounds for the probability that all significant items are uniquely identified using specially constructed random designs. These bounds allow us to optimize parameters of the…

Statistics Theory · Mathematics 2022-02-17 Jack Noonan , Anatoly Zhigljavsky

Identification of defective members of large populations has been widely studied in the statistics community under the name of group testing. It involves grouping subsets of items into different pools and detecting defective members based…

Information Theory · Computer Science 2016-11-18 Mahdi Cheraghchi , Ali Hormati , Amin Karbasi , Martin Vetterli

The aim of the paper is to describe a model of the development of the Covid-19 contamination of the population of a country or a region. For this purpose a special branching process with two types of individuals is considered. This model is…

Methodology · Statistics 2020-04-03 Nikolay M. Yanev , Vessela K. Stoimenova , Dimitar V. Atanasov

Medical diagnostic testing can be made significantly more efficient using pooled testing protocols. These typically require a sparse infection signal and use either binary or real-valued entries of O(1). However, existing methods do not…

Statistical Mechanics · Physics 2024-03-15 Mansoor Sheikh , David Saad

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

As deep learning based models are increasingly being used for information retrieval (IR), a major challenge is to ensure the availability of test collections for measuring their quality. Test collections are generated based on pooling…

Information Retrieval · Computer Science 2020-04-29 Emine Yilmaz , Nick Craswell , Bhaskar Mitra , Daniel Campos

We consider two closely related problems: anomaly detection in sensor networks and testing for infections in human populations. In both problems, we have $n$ nodes (sensors, humans), and each node exhibits an event of interest (anomaly,…

Information Theory · Computer Science 2020-12-01 Melih Bastopcu , Sennur Ulukus

It is crucial for policymakers to understand the community prevalence of COVID-19 so combative resources can be effectively allocated and prioritized during the COVID-19 pandemic. Traditionally, community prevalence has been assessed…

The goal of the group testing problem is to identify a set of defective items within a larger set of items, using suitably-designed tests whose outcomes indicate whether any defective item is present. In this paper, we study how the number…

Information Theory · Computer Science 2023-01-18 Ivan Lau , Jonathan Scarlett , Yang Sun

In many mobile health interventions, treatments should only be delivered in a particular context, for example when a user is currently stressed, walking or sedentary. Even in an optimal context, concerns about user burden can restrict which…

Machine Learning · Computer Science 2018-12-04 Sabina Tomkins , Predrag Klasnja , Susan Murphy

We study private two-terminal hypothesis testing with simple hypotheses where the privacy goal is to ensure that participating in the testing protocol reveals little additional information about the other user's observation when a user is…

Information Theory · Computer Science 2020-05-13 Varun Narayanan , Manoj Mishra , Vinod M. Prabhakaran

We study the group testing problem with non-adaptive randomized algorithms. Several models have been discussed in the literature to determine how to randomly choose the tests. For a model ${\cal M}$, let $m_{\cal M}(n,d)$ be the minimum…

Machine Learning · Computer Science 2019-11-06 Nader H. Bshouty , George Haddad , Catherine A. Haddad-Zaknoon

In group testing, the task is to identify defective items by testing groups of them together using as few tests as possible. We consider the setting where each item is defective with a constant probability $\alpha$, independent of all other…

Discrete Mathematics · Computer Science 2024-11-15 Lukas Hintze , Lena Krieg , Olga Scheftelowitsch , Haodong Zhu

Distinguishing COVID-19 from other flu-like illnesses can be difficult due to ambiguous symptoms and still an initial experience of doctors. Whereas, it is crucial to filter out those sick patients who do not need to be tested for…

Comparing how different populations have suffered under COVID-19 is a core part of ongoing investigations into how public policy and social inequalities influence the number of and severity of COVID-19 cases. But COVID-19 incidence can vary…

Populations and Evolution · Quantitative Biology 2022-11-17 Ryan Wilkinson , Marcus Roper

In the current pandemic, testing continues to be the most important tool for monitoring and curbing the disease spread and early identification of the disease to perform health-related interventions like quarantine, contact tracing and etc.…

Cryptography and Security · Computer Science 2020-12-08 Abhishek Singh , Ramesh Raskar

This paper provides a short introduction to the group testing problem, and reviews various aspects of its statistical physics formulation. Two main issues are discussed: the optimal design of pools used in a two-stage testing experiment,…

Statistical Mechanics · Physics 2009-11-13 Marc Mezard , Marco Tarzia , Cristina Toninelli

Preferably in two- or three-arm randomized clinical trials, a few (2,3) correlated multiple primary endpoints are considered. In addition to the closed testing principle based on different global tests, two max(maxT) tests are compared with…

Applications · Statistics 2021-03-16 Ludwig A. Hothorn , Siegfried Kropf