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arXiv · 1301.7023

The Capacity of Adaptive Group Testing

Leonardo Baldassini·Oliver Johnson·Matthew Aldridge
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Abstract

We define capacity for group testing problems and deduce bounds for the capacity of a variety of noisy models, based on the capacity of equivalent noisy communication channels. For noiseless adaptive group testing we prove an information-theoretic lower bound which tightens a bound of Chan et al. This can be combined with a performance analysis of a version of Hwang's adaptive group testing algorithm, in order to deduce the capacity of noiseless and erasure group testing models.

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Leonardo Baldassini, Oliver Johnson, Matthew Aldridge. 2013-01-29. The Capacity of Adaptive Group Testing. https://doi.org/10.1109/isit.2013.6620712

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