论文标题

共同测试Covid-19的合并矩阵的结构和比较

Constructions and Comparisons of Pooling Matrices for Pooled Testing of COVID-19

论文作者

Lin, Yi-Jheng, Yu, Che-Hao, Liu, Tzu-Hsuan, Chang, Cheng-Shang, Chen, Wen-Tsuen

论文摘要

与单个测试相比,小组测试(也称为汇总测试)在减少测试的数量方面更有效,并有可能导致巨大的成本降低。正如最近在美国FDA网站上发布的文章所示的那样,Covid-19的小组测试方法最近引起了很多兴趣。组测试技术中有两个关键元素:(i)将样品汇总为组的池矩阵,以及(ii)使用组测试结果来重建每个样品状态的解码算法。在本文中,我们提出了一个新的家庭,从将铅笔(PPOL)包装在有限的投影平面中。我们将它们的性能与文献中提出的各种合并矩阵进行比较,包括使用两阶段确定的叛逃者(DD)解码算法,包括2D-Pooling,p-test和Tapestry。通过对高达5%的一系列患病率进行广泛的模拟,我们的数值结果表明,在整个患病率范围内,没有合并矩阵,相对成本最低。为了优化性能,应根据患病率选择正确的合并矩阵。 PPOL矩阵家族可以根据患病率动态调整其色谱柱重量,并且可能是使用固定池基质的替代品。

In comparison with individual testing, group testing (also known as pooled testing) is more efficient in reducing the number of tests and potentially leading to tremendous cost reduction. As indicated in the recent article posted on the US FDA website, the group testing approach for COVID-19 has received a lot of interest lately. There are two key elements in a group testing technique: (i) the pooling matrix that directs samples to be pooled into groups, and (ii) the decoding algorithm that uses the group test results to reconstruct the status of each sample. In this paper, we propose a new family of pooling matrices from packing the pencil of lines (PPoL) in a finite projective plane. We compare their performance with various pooling matrices proposed in the literature, including 2D-pooling, P-BEST, and Tapestry, using the two-stage definite defectives (DD) decoding algorithm. By conducting extensive simulations for a range of prevalence rates up to 5%, our numerical results show that there is no pooling matrix with the lowest relative cost in the whole range of the prevalence rates. To optimize the performance, one should choose the right pooling matrix, depending on the prevalence rate. The family of PPoL matrices can dynamically adjust their column weights according to the prevalence rates and could be a better alternative than using a fixed pooling matrix.

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