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In order to identify the infected individuals of a population, their samples are divided in equally sized groups called pools and a single laboratory test is applied to each pool. Individuals whose samples belong to pools that test negative…

The outbreak of the novel coronavirus (COVID-19) is unfolding as a major international crisis whose influence extends to every aspect of our daily lives. Effective testing allows infected individuals to be quarantined, thus reducing the…

机器学习 · 计算机科学 2020-07-28 Rahul Singh , Fang Liu , Ness B. Shroff

In epidemic or pandemic situations, resources for testing the infection status of individuals may be scarce. Although group testing can help to significantly increase testing capabilities, the (repeated) testing of entire populations can…

种群与进化 · 定量生物学 2021-10-29 Günther Koliander , Georg Pichler

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…

The coronavirus disease 2019 (COVID-19) pandemic has spread rapidly across the world, leading to enormous amounts of human death and economic loss. Until definitive preventive or curative measures are developed, policies regarding testing,…

In the group-testing literature, efficient algorithms have been developed to minimize the number of tests required to identify all minimal "defective" sub-groups embedded within a larger group, using deterministic group splitting with a…

离散数学 · 计算机科学 2020-10-20 Laurence A. Clarfeld , Margaret J. Eppstein

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,…

统计方法学 · 统计学 2020-11-03 Tao Liu , Joseph W Hogan , Wanning Su , Yizhen Xu , Michael J Daniels , Kantor Rami

The recent COVID-19 pandemic underscores the significance of early-stage non-pharmacological intervention strategies. The widespread use of masks and the systematic implementation of contact tracing strategies provide a potentially equally…

种群与进化 · 定量生物学 2024-09-02 A. P. Muntoni , F. Mazza , A. Braunstein , G. Catania , L. Dall'Asta

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…

应用统计 · 统计学 2012-03-01 Enrique F. Schisterman , Albert Vexler , Aijun Ye , Neil J. Perkins

We study the problem usually referred to as group testing in the context of COVID-19. Given $n$ samples taken from patients, how should we select mixtures of samples to be tested, so as to maximize information and minimize the number of…

统计方法学 · 统计学 2020-05-14 Louis Abraham , Gary Bécigneul , Bernhard Schölkopf

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…

信息论 · 计算机科学 2022-02-25 Esmaeil Karimi , Anoosheh Heidarzadeh , Krishna R. Narayanan , Alex Sprintson

This paper presents methods to choose individuals to test for infection during a pandemic such as COVID-19, characterized by high contagion and presence of asymptomatic carriers. The smart-testing ideas presented here are motivated by…

机器学习 · 计算机科学 2020-12-29 Yingfei Wang , Inbal Yahav , Balaji Padmanabhan

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…

应用统计 · 统计学 2020-04-08 Itsik Bergel

In the group testing problem the aim is to identify a small set of $k\sim n^\theta$ infected individuals out of a population size $n$, $0<\theta<1$. We avail ourselves of a test procedure capable of testing groups of individuals, with the…

离散数学 · 计算机科学 2021-05-14 Amin Coja-Oghlan , Oliver Gebhard , Max Hahn-Klimroth , Philipp Loick

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…

应用统计 · 统计学 2021-03-02 Gregory Haber , Yaakov Malinovsky , Paul S. Albert

We introduce new nonparametric predictors for homogeneous pooled data in the context of group testing for rare abnormalities and show that they achieve optimal rates of convergence. In particular, when the level of pooling is moderate, then…

统计理论 · 数学 2012-05-29 Aurore Delaigle , Peter Hall

The spread of COVID-19 makes it essential to investigate its prevalence. In such investigation research, as far as we know, the widely-used sampling methods didn't use the information sufficiently about the numbers of the previously…

应用统计 · 统计学 2022-01-04 Ze Liu , Siyu Yi , Jianghu , Dong , Min-Qian Liu , Yongdao Zhou

We argue that frequent sampling of the fraction of infected people (either by random testing or by analysis of sewage water), is central to managing the COVID-19 pandemic because it both measures in real time the key variable controlled by…

种群与进化 · 定量生物学 2020-07-24 Markus Müller , Peter M. Derlet , Christopher Mudry , Gabriel Aeppli

Gathering observational data for medical decision-making often involves uncertainties arising from both type I (false positive)and type II (false negative) errors. In this work, we develop a statistical model to study how medical…

应用统计 · 统计学 2025-10-21 Lucas Böttcher , Maria R. D'Orsogna , Tom Chou

I study the economic effects of testing during the outbreak of a novel disease. I propose a model where testing permits isolation of the infected and provides agents with information about the prevalence and lethality of the disease.…

综合经济学 · 经济学 2020-12-08 Francesco Furno