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When the infection prevalence of a disease is low, Dorfman showed 80 years ago that testing groups of people can prove more efficient than testing people individually. Our goal in this paper is to propose new group testing algorithms that…

Methodology · Statistics 2020-07-23 Marco Cuturi , Olivier Teboul , Quentin Berthet , Arnaud Doucet , Jean-Philippe Vert

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

Testing individuals for pathogens can affect the spread of epidemics. Understanding how individual-level processes of sampling and reporting test results can affect community- or population-level spread is a dynamical modeling question. The…

Populations and Evolution · Quantitative Biology 2021-07-20 Ali Gharouni , F. M. Abdelmalek , David J. D. Earn , Jonathan Dushoff , Benjamin M. Bolker

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

External controls from historical trials or observational data can augment randomized controlled trials when large-scale randomization is impractical or unethical, such as in drug evaluation for rare diseases. However, non-randomized…

Methodology · Statistics 2025-05-08 Ke Zhu , Shu Yang , Xiaofei Wang

Cells constantly need to monitor the state of the environment to detect changes and timely respond. The detection of concentration changes of a ligand by a set of receptors can be cast as a problem of hypothesis testing, and the cell viewed…

Quantitative Methods · Quantitative Biology 2015-09-30 Stefano Bo , Antonio Celani

The usual problem for group testing is this: For a given number of individuals and a given prevalence, how many tests T* are required to find every infected individual? In real life, however, the problem is usually different: For a given…

Applications · Statistics 2021-07-21 Matthew Aldridge

Correlation testing provides a quick method of discriminating amongst potential terms to include in a nuclear mass formula or functional and is a necessary tool for further nuclear mass models; however a firm mathematical foundation of the…

Nuclear Theory · Physics 2013-05-14 M. G. Bertolli

COVID-19, a viral respiratory pandemic, has rapidly spread throughout the globe. Large scale and rapid testing of the population is required to contain the disease, but such testing is prohibitive in terms of resources, cost and time.…

Populations and Evolution · Quantitative Biology 2020-07-21 Abhishek Srivastava , Anurag Mishra , Trusha Jayant Parekh , Sampreeti Jena

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

When faulty sensors are rare in a network, diagnosing sensors individually is inefficient. This study introduces a novel use of concepts from group testing and Kalman filtering in detecting these rare faulty sensors with significantly fewer…

Systems and Control · Computer Science 2015-01-20 Chun Lo , Yechao Bai , Mingyan Liu , Jerome P. Lynch

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

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 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

Sample pooling consists in combining samples from multiple individuals into a single pool that is then tested using a unique test-kit. A positive test means that at least one individual within the pool is infected. Here, we propose an…

Quantitative Methods · Quantitative Biology 2021-03-18 Vincent Brault , Bastien Mallein , Jean-Francois Rupprecht

Scientists often use a paired comparison of the areas under the receiver operating characteristic curves to decide which continuous cancer screening test has the best diagnostic accuracy. In the paired design, all participants are screened…

Background: Rapid testing for an infection is paramount during a pandemic to prevent continued viral spread and excess morbidity and mortality. This study aimed to determine whether alternative testing strategies based on sample pooling can…

Populations and Evolution · Quantitative Biology 2021-01-27 Timo de Wolff , Dirk Pflüger , Michael Rehme , Janin Heuer , Martin-Immanuel Bittner

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

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

Measurement and management of credit concentration risk is critical for banks and relevant for micro-prudential requirements. While several methods exist for measuring credit concentration risk within institutions, the systemic effect of…

General Finance · Quantitative Finance 2019-07-09 Davide Cellai , Trevor Fitzpatrick