Dynamical Dorfman Testing with Quarantine

对称分布下的最优Dorfman分组检测

Optimal Dorfman Group Testing for Symmetric Distributions

本文将Dorfman分组检测中的样本状态从独立同分布推广为可交换随机变量，利用函数q刻画对称联合分布，将集合划分问题归约为整数划分问题并高效求解，在COVID-19数据上解释了原始研究的高经验效率。

具有相关结构的超高维变量选择的鲁棒性方法：基于群体测试

Robust Ultra-High-Dimensional Variable Selection With Correlated Structure Using Group Testing

本文提出了一种基于群体测试的鲁棒超高维变量选择方法，通过数据驱动的组内聚类和稳健统计方法，在数据污染和非正态条件下均表现出色，适用于基因组生物标志物发现。

Modified Dorfman procedure for pool tests with dilution -- COVID-19 case study

The outbreak of the global COVID-19 pandemic results in unprecedented demand for fast and efficient testing of large numbers of patients for the presence of SARS-CoV-2 coronavirus. Beside technical improvements of the cost and speed of individual tests, pool testing may be used to improve efficiency and throughput of a population test. Dorfman pool testing procedure is one of the best known and studied methods of this kind. This procedure is, however, based on unrealistic assumptions that the pool test has perfect sensitivity and the only objective is to minimize the number of tests, and is no…

Positively Correlated Samples Save Pooled Testing Costs

The group testing approach that achieves significant cost reduction over the individual testing approach has received a lot of interest lately for massive testing of COVID-19. Many studies simply assume samples mixed in a group are independent. However, this assumption may not be reasonable for a contagious disease like COVID-19. Specifically, people within a family tend to infect each other and thus are likely to be positively correlated. By exploiting positive correlation, we make the following two main contributions. One is to provide a rigorous proof that further cost reduction can be achi…

A comparison of group testing architectures for COVID-19 testing

An important component of every country's COVID-19 response is fast and efficient testing - to identify and isolate cases, as well as for early detection of local hotspots. For many countries, producing a sufficient number of tests has been a serious limiting factor in their efforts to control COVID-19 infections. Group testing is a well-established mathematical tool, which can provide a substantial and inexpensive expansion of testing capacity. In this note, we compare several popular group testing schemes in the context of qPCR testing for COVID-19. We find that in practical settings, for id…

Dynamic Infection Spread Model Based Group Testing

We study a dynamic infection spread model, inspired by the discrete time SIR model, where infections are spread via non-isolated infected individuals. While infection keeps spreading over time, a limited capacity testing is performed at each time instance as well. In contrast to the classical, static, group testing problem, the objective in our setup is not to find the minimum number of required tests to identify the infection status of every individual in the population, but to control the infection spread by detecting and isolating the infections over time by using the given, limited number …