Abstract:The goal of the group testing problem is to identify a set of defective items within a larger set of items, using suitablydesigned tests whose outcomes indicate whether any defective item is present. In this paper, we study how the number of tests can be significantly decreased by leveraging the structural dependencies between the items, i.e., by incorporating prior information. To do so, we pursue two different perspectives: (i) As a generalization of the uniform combinatorial prior, we consider the case that… Show more
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