Statistical Physics of Group Testing

Details Statistical Physics of Group Testing Statistical Physics of Group Testing

2007-10-29

arxiv.org/abs/0710.5495v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, 5 figures. To appear in proceedings of Conference "IW-SMI 2007" (Kyoto, september 2007)

Scientific paper

10.1088/1742-6596/95/1/012019

This paper provides a short introduction to the group testing problem, and reviews various aspects of its statistical physics formulation. Two main issues are discussed: the optimal design of pools used in a two-stage testing experiment, like the one often used in medical or biological applications, and the inference problem of detecting defective items based on pool diagnosis. The paper is largely based on: M. M\'ezard and C. Toninelli, arXiv:0706.3104, and M. M\'ezard and M. Tarzia {\it Phys. Rev. E} {\bf 76}, 041124 (2007).

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