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Group testing is an active area of current research and has important applications in medicine, biotechnology, genetics, and product testing. There have been recent advances in design and estimation, but the simple Dorfman procedure…

统计理论 · 数学 2014-10-07 Yaakov Malinovsky , Paul S. Albert

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…

种群与进化 · 定量生物学 2020-05-18 M. Soledad Aronna , Roberto Guglielmi , Lucas M. Moschen

In the group testing problem, the goal is to identify a subset of defective items within a larger set of items based on tests whose outcomes indicate whether any defective item is present. This problem is relevant in areas such as medical…

信息论 · 计算机科学 2022-09-28 Nelvin Tan , Way Tan , Jonathan Scarlett

Pathogenic infections pose a significant threat to global health, affecting millions of people every year and presenting substantial challenges to healthcare systems worldwide. Efficient and timely testing plays a critical role in disease…

定量方法 · 定量生物学 2023-08-03 Ananthan Nambiar , Chao Pan , Vishal Rana , Mahdi Cheraghchi , João Ribeiro , Sergei Maslov , Olgica Milenkovic

Objectives: To investigate machine-learning classifiers and interpretable models using chest CT for detection of COVID-19 and differentiation from other pneumonias, ILD and normal CTs. Methods: Our retrospective multi-institutional study…

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

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 have recovered from the disease as quickly…

信息论 · 计算机科学 2022-06-15 Melih Bastopcu , Sennur Ulukus

Group testing concerns itself with the accurate recovery of a set of "defective" items from a larger population via a series of tests. While most works in this area have considered the classical group testing model, where tests are binary…

信息论 · 计算机科学 2026-05-13 Daniel McMorrow , Nikhil Karamchandani , Sidharth Jaggi

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…

信息论 · 计算机科学 2024-05-10 Thach V. Bui , Jonathan Scarlett

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…

定量方法 · 定量生物学 2020-04-14 Jirong Yi , Raghu Mudumbai , Weiyu Xu

Group testing (GT) is the art of identifying binary signals and the marketplace for exchanging new ideas for related fields such as unique-element counting, compressed sensing, traitor tracing, and geno-typing. A GT scheme can be…

信息论 · 计算机科学 2024-05-28 Hsin-Po Wang , Venkatesan Guruswami

Testing individuals for the presence of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), the pathogen causing the coronavirus disease 2019 (COVID-19), is crucial for curtailing transmission chains. Moreover, rapidly testing…

应用统计 · 统计学 2021-03-08 Yair Daon , Amit Huppert , Uri Obolski

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…

In probabilistic nonadaptive group testing (PGT), we aim to characterize the number of pooled tests necessary to identify a random $k$-sparse vector of defectives with high probability. Recent work has shown that $n$ tests are necessary…

信息论 · 计算机科学 2021-06-15 Larkin Flodin , Arya Mazumdar

This article reviews a class of adaptive group testing procedures that operate under a probabilistic model assumption as follows. Consider a set of $N$ items, where item $i$ has the probability $p$ ($p_i$ in the generalized group testing)…

统计方法学 · 统计学 2021-02-19 Yaakov Malinovsky , Paul S. Albert

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

Since the onset of the COVID-19 pandemic in 2020, millions of people have succumbed to this deadly virus. Many attempts have been made to devise an automated method of testing that could detect the virus. Various researchers around the…

图像与视频处理 · 电气工程与系统科学 2021-11-11 Samyak Prajapati , Japman Singh Monga , Shaanya Singh , Amrit Raj , Yuvraj Singh Champawat , Chandra Prakash

In group testing, simple binary-output tests are designed to identify a small number $t$ of defective items that are present in a large population of $N$ items. Each test takes as input a group of items and produces a binary output…

信息论 · 计算机科学 2017-04-11 Alexander Barg , Arya Mazumdar

Current standard protocols used in the clinic for diagnosing COVID-19 include molecular or antigen tests, generally complemented by a plain chest X-Ray. The combined analysis aims to reduce the significant number of false negatives of these…

图像与视频处理 · 电气工程与系统科学 2020-12-01 Julian D. Arias-Londoño , Jorge A. Gomez-Garcia , Laureano Moro-Velazquez , Juan I. Godino-Llorente

We consider a zero-error probabilistic group testing problem where individuals are defective independently but not with identical probabilities. We propose a greedy set formation method to build sets of individuals to be tested together. We…

信息论 · 计算机科学 2021-08-30 Mustafa Doger , Sennur Ulukus