# Statistical and Computational Phase Transitions in Group Testing

@article{CojaOghlan2022StatisticalAC, title={Statistical and Computational Phase Transitions in Group Testing}, author={Amin Coja-Oghlan and Oliver Gebhard and Max Hahn-Klimroth and Alexander S. Wein and Ilias Zadik}, journal={ArXiv}, year={2022}, volume={abs/2206.07640} }

We study the group testing problem where the goal is to identify a set of k infected individuals carrying a rare disease within a population of size n , based on the outcomes of pooled tests which return positive whenever there is at least one infected individual in the tested group. We consider two different simple random procedures for assigning individuals to tests: the constant-column design and Bernoulli design . Our first set of results concerns the fundamental statistical limits. For the…

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