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Monitoring key elements of disease dynamics (e.g., prevalence, case counts) is of great importance in infectious disease prevention and control, as emphasized during the COVID-19 pandemic. To facilitate this effort, we propose a new…

统计方法学 · 统计学 2024-10-10 Lin Ge , Yuzi Zhang , Lance A. Waller , Robert H. Lyles

Group testing is a well-known search problem that consists in detecting of $s$ defective members of a set of $t$ samples by carrying out tests on properly chosen subsets of samples. In classical group testing the goal is to find all…

信息论 · 计算机科学 2019-05-01 Ilya Vorobyev

One of the most significant challenges in combating against the spread of infectious diseases was the difficulty in estimating the true magnitude of infections. Unreported infections could drive up disease spread, making it very hard to…

社会与信息网络 · 计算机科学 2025-02-04 Jiaming Cui , Bijaya Adhikari , Arash Haddadan , A S M Ahsan-Ul Haque , Jilles Vreeken , Anil Vullikanti , B. Aditya Prakash

We present double pooling, a simple, easy-to-implement variation on test pooling, that in certain ranges for the a priori probability of a positive test, is significantly more efficient than the standard single pooling approach (the Dorfman…

离散数学 · 计算机科学 2020-04-06 Andrei Z. Broder , Ravi Kumar

In identifying infected patients in a population, group testing is an effective method to reduce the number of tests and correct the test errors. In the group testing procedure, tests are performed on pools of specimens collected from…

机器学习 · 统计学 2021-02-10 Ayaka Sakata

Diagnostic tests are almost never perfect. Studies quantifying their performance use knowledge of the true health status, measured with a reference diagnostic test. Researchers commonly assume that the reference test is perfect, which is…

应用统计 · 统计学 2024-08-20 Filip Obradović

The susceptible-infected-susceptible epidemic model is analyzed through a degree-based mean-field approach. In this work, a mitigation factor is introduced in the probability of finding an infected individual following an edge. This…

统计力学 · 物理学 2025-01-09 K. M. Kim , C. Dias , M. O. Hase

I propose novel partial identification bounds on infection prevalence from information on test rate and test yield. The approach utilizes user-specified bounds on (i) test accuracy and (ii) the extent to which tests are targeted, formalized…

计量经济学 · 经济学 2024-07-03 Jörg Stoye

The study in group testing aims to develop strategies to identify a small set of defective items among a large population using a few pooled tests. The established techniques have been highly beneficial in a broad spectrum of applications…

信息论 · 计算机科学 2025-01-23 Venkata Gandikota , Nikita Polyanskii , Haodong Yang

Physical contacts result in the spread of various phenomena such as viruses, gossips, ideas, packages and marketing pamphlets across a population. The spread depends on how people move and co-locate with each other, or their mobility…

社会与信息网络 · 计算机科学 2021-12-20 Sepanta Zeighami , Cyrus Shahabi , John Krumm

We describe group sequential tests which efficiently incorporate information from multiple endpoints allowing for early stopping at pre-planned interim analyses. We formulate a testing procedure where several outcomes are examined, and…

统计方法学 · 统计学 2024-05-09 Abigail J. Burdon , Thomas Jaki

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…

统计方法学 · 统计学 2020-12-25 Stéphane Guerrier , Christoph Kuzmics , Maria-Pia Victoria-Feser

Our aim is to estimate the largest community (a.k.a., mode) in a population composed of multiple disjoint communities. This estimation is performed in a fixed confidence setting via sequential sampling of individuals with replacement. We…

统计理论 · 数学 2023-09-25 Meera Pai , Nikhil Karamchandani , Jayakrishnan Nair

Motivated with various responses of world governments to COVID-19, here we develop a toy model of the dependence epidemics spreading on the availability of tests for disease. Our model, that we call SUDR+K, is based on usual SIR model, but…

种群与进化 · 定量生物学 2020-12-01 Vinko Zlatić , Irena Barjašić , Andrea Kadović , Hrvoje Štefančić , Andrea Gabrielli

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 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…

Early outbreak detection is a key aspect in the containment of infectious diseases, as it enables the identification and isolation of infected individuals before the disease can spread to a larger population. Instead of detecting unexpected…

机器学习 · 计算机科学 2021-10-19 Michael Rapp , Moritz Kulessa , Eneldo Loza Mencía , Johannes Fürnkranz

We consider a model for an epidemic in a population that occupies geographically distinct locations. The disease is spread within subpopulations by contacts between infective and susceptible individuals, and is spread between subpopulations…

概率论 · 数学 2016-02-15 R. McVinish , P. K. Pollett , A. Shausan

We consider the problem of deciding on sampling strategy, in particular sampling design. We propose a risk measure, whose minimizing value guides the choice. The method makes use of a superpopulation model and takes into account uncertainty…

统计方法学 · 统计学 2020-07-06 Edgar Bueno , Dan Hedlin

One-sided t-tests are commonly used in the neuroimaging field, but two-sided tests should be the default unless a researcher has a strong reason for using a one-sided test. Here we extend our previous work on cluster false positive rates,…

应用统计 · 统计学 2019-01-03 Anders Eklund , Hans Knutsson , Thomas E. Nichols