Phase Transitions in Group Testing

نویسندگان

  • Jonathan Scarlett
  • Volkan Cevher
چکیده

We consider the fundamental limits on the number of tests required for the group testing problem,which has applications in medical testing, fault detection, communication protocols, pattern matching,and database systems. Specifically, we have p items labeled {1, . . . , p}, among which a uniformly randomsubset S of cardinality k are defective. The goal is to recover the set S based on n possibly noisymeasurements, each taking the form

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تاریخ انتشار 2016