Efficient pooling designs and screening performance in group testing for two type defectives

Hiroyasu Matsushima; Yusuke Tajima; Xiao-Nan Lu; Masakazu Jimbo

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arXiv · 2405.09455

Efficient pooling designs and screening performance in group testing for two type defectives

Hiroyasu Matsushima·Yusuke Tajima·Xiao-Nan Lu·Masakazu Jimbo

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Abstract

Group testing is utilized in the case when we want to find a few defectives among large amount of items. Testing n items one by one requires n tests, but if the ratio of defectives is small, group testing is an efficient way to reduce the number of tests. Many research have been developed for group testing for a single type of defectives. In this paper, we consider the case where two types of defective A and B exist. For two types of defectives, we develop a belief propagation algorithm to compute marginal posterior probability of defectives. Furthermore, we construct several kinds of collections of pools in order to test for A and B. And by utilizing our belief propagation algorithm, we evaluate the performance of group testing by conducting simulations.

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Hiroyasu Matsushima, Yusuke Tajima, Xiao-Nan Lu, Masakazu Jimbo. 2024-05-15. Efficient pooling designs and screening performance in group testing for two type defectives. https://arxiv.org/abs/2405.09455

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