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2020
DOI: 10.1101/2020.05.05.20091637
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Application-oriented mathematical algorithms for group testing

Abstract: Group testing is a widely used protocol which aims to test a small group of people to identify whether at least one of them is infected. It is particularly efficient if the infection rate is low, because it only requires a single test if everybody in the group is negative. The most efficient use of group testing is a complex mathematical question. However, the answer highly depends on practical parameters and restrictions, which are partially ignored by the mathematical literature. This paper aims to offer pra… Show more

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Cited by 5 publications
(3 citation statements)
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“…Second-level pools can be built either by splitting positive pools in subpools (thus reducing the pool size at the second step) or rearranging samples completely (to use the same pool size in the two steps). Different strategies to build second-level subpools from positive first-level pools are discussed in [ 13 ]. Notice that, due to the structure of adaptative schemes, the different pooling steps have to be performed sequentially (in order to build the second pooling step, results of the first steps have to be known).…”
Section: Pooling Scheme: the Theoretical Point Of Viewmentioning
confidence: 99%
“…Second-level pools can be built either by splitting positive pools in subpools (thus reducing the pool size at the second step) or rearranging samples completely (to use the same pool size in the two steps). Different strategies to build second-level subpools from positive first-level pools are discussed in [ 13 ]. Notice that, due to the structure of adaptative schemes, the different pooling steps have to be performed sequentially (in order to build the second pooling step, results of the first steps have to be known).…”
Section: Pooling Scheme: the Theoretical Point Of Viewmentioning
confidence: 99%
“…In fact, allowing for more than one round of testing, namely, adaptive testing, instead of one-shot recovery of results, can provide even more efficient outcomes. Especially for low prevalence regimes (i.e., P <1/K 2 ), N (2P + (1-2P)/K) measurements set a lower bound on the number of required tests, where P is the prevalence and K the limit of the pool size ( 34 ). This implies almost a couple of tests per a positive sample and a single test per pool—a very efficient scheme with large pools.…”
Section: Population Level Scanning For Covid-19mentioning
confidence: 99%
“…There has been tremendous study and progress on pooled testing (also called group testing or specimen pooling) in general. Numerous works provide statistical [21][22][23][24][25] , combinatorial [26][27][28][29][30][31] , as well as information and coding theoretic [32][33][34][35][36][37][38][39][40][41][42][43][44][45] perspectives, as well as software 46;47 to aid implementation, to name just a few. Additionally, there has been a lot of work on analyzing and optimizing group testing for various constraints and evaluation criteria [48][49][50][51][52][53][54][55][56][57][58][59] , often in the low prevalence regime.…”
Section: Introductionmentioning
confidence: 99%