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We consider the problem of group testing (pooled testing), first introduced by Dorfman. For non-adaptive testing strategies, we refer to a non-defective item as `intruding' if it only appears in positive tests. Such items cause…

Probability · Mathematics 2023-09-19 Letian Yu , Fraser Daly , Oliver Johnson

We describe a new family of coupling designs, extending the basic principle of stratified randomization to experiments with continuous, constrained multivariate, text/image and other irregular treatment spaces. Our approach is to first…

Econometrics · Economics 2026-04-14 Max Cytrynbaum , Fredrik Sävje

In this article we propose a compartmental model for the dynamics of Coronavirus Disease 2019 (COVID-19). We take into account the presence of asymptomatic infections and the main policies that have been adopted so far to contain the…

Populations and Evolution · Quantitative Biology 2020-05-18 M. Soledad Aronna , Roberto Guglielmi , Lucas M. Moschen

We propose a method for testing whether hierarchically ordered groups of potentially correlated variables are significant for explaining a response in a high-dimensional linear model. In presence of highly correlated variables, as is very…

Statistics Theory · Mathematics 2014-09-04 Jacopo Mandozzi , Peter Bühlmann

The COVID-19 is sweeping the world with deadly consequences. Its contagious nature and clinical similarity to other pneumonias make separating subjects contracted with COVID-19 and non-COVID-19 viral pneumonia a priority and a challenge.…

Machine Learning · Computer Science 2020-05-15 Forrest Sheng Bao , Youbiao He , Jie Liu , Yuanfang Chen , Qian Li , Christina R. Zhang , Lei Han , Baoli Zhu , Yaorong Ge , Shi Chen , Ming Xu , Liu Ouyang

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

To strengthen inferences meta analyses are commonly used to summarize information from a set of independent studies. In some cases, though, the data may not satisfy the assumptions underlying the meta analysis. Using three Bayesian methods…

Applications · Statistics 2022-04-07 Dexter Cahoy , Joseph Sedransk

Supporting sampling in the presence of joins is an important problem in data analysis, but is inherently challenging due to the need to avoid correlation between output tuples. Current solutions provide either correlated or non-correlated…

Databases · Computer Science 2017-02-15 Niranjan Kamat , Arnab Nandi

Testing for infection with SARS-CoV-2 is an important intervention in reducing onwards transmission of COVID-19, particularly when combined with the isolation and contact-tracing of positive cases. Many countries with the capacity to do so…

Populations and Evolution · Quantitative Biology 2022-07-19 Miguel E. P. Silva , Martyn Fyles , Li Pi , Jasmina Panovska-Griffiths , Caroline Jay , Thomas House , Elizabeth Fearon

High dimensional case control studies are ubiquitous in the biological sciences, particularly genomics. To maximise power while constraining cost and to minimise type-1 error rates, researchers typically seek to replicate findings in a…

Methodology · Statistics 2017-07-11 James Liley

Isolation of symptomatic individuals, tracing and testing of their nonsymptomatic contacts are fundamental strategies for mitigating the current COVID-19 pandemic. The breaking of contagion chains relies on two complementary strategies:…

Physics and Society · Physics 2021-03-31 Marco Mancastroppa , Claudio Castellano , Alessandro Vezzani , Raffaella Burioni

When fitting statistical models, some predictors are often found to be correlated with each other, and functioning together. Many group variable selection methods are developed to select the groups of predictors that are closely related to…

Methodology · Statistics 2021-03-25 Zhiyuan Li

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

This work addresses approximate nearest neighbor search applied in the domain of large-scale image retrieval. Within the group testing framework we propose an efficient off-line construction of the search structures. The linear-time…

Computer Vision and Pattern Recognition · Computer Science 2018-09-21 Ahmet Iscen , Ondrej Chum

The COVID-19 pandemic left its unique mark on the 21st century as one of the most significant disasters in history, triggering governments all over the world to respond with a wide range of interventions. However, these restrictions come…

Computational Engineering, Finance, and Science · Computer Science 2021-06-02 Assem Zhunis , Tung-Duong Mai , Sundong Kim

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

Testing is an important part of tackling the COVID-19 pandemic. Availability of testing is a bottleneck due to constrained resources and effective prioritization of individuals is necessary. Here, we discuss the impact of different…

Machine Learning · Computer Science 2020-07-30 Hagit Grushka-Cohen , Raphael Cohen , Bracha Shapira , Jacob Moran-Gilad , Lior Rokach

We consider real-time timely tracking of infection status (e.g., covid-19) of individuals in a population. In this work, a health care provider wants to detect infected people as well as people who recovered from the disease as quickly as…

Computers and Society · Computer Science 2020-12-29 Melih Bastopcu , Sennur Ulukus

Coronavirus disease 2019 (COVID-19) is an ongoing pandemic infectious disease outbreak that has significantly harmed and threatened the health and lives of millions or even billions of people. COVID-19 has also negatively impacted the…

Quantitative Methods · Quantitative Biology 2020-04-14 Jirong Yi , Raghu Mudumbai , Weiyu Xu

This paper is based on the observation that, during Covid-19 epidemic, the choice of which individuals should be tested has an important impact on the effectiveness of selective confinement measures. This decision problem is closely related…

Physics and Society · Physics 2020-12-24 Matthias Pezzutto , Nicolas Bono Rossello , Luca Schenato , Emanuele Garone
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