Multigroup Testing for Items With Real-Valued Status Under Standard Arithmetic

Chang F.; Chen H.; Guo J.; Huang Y.

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Multigroup Testing for Items With Real-Valued Status Under Standard Arithmetic

机译：在标准算法下对具有实值状态的项目进行多组测试

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Motivated by applications in molecular biology and genotyping, this paper proposes a novel model of group testing for identifying items with real-valued status using nonbinary pooling designs under standard arithmetic observation. The purpose is to learn more information of each item to be tested rather than identify only which ones are defectives as was done in conventional group testing. This paper provides several efficiently decodable nonadaptive strategies for the considered problem. The major tool is a new structure called -ary additive -disjunct matrix, which is related to known structures: 1) the conventional disjunct matrix by Kautz and Singleton 1964 and 2) the SQ-disjunct matrix by Emad and Milenkovic 2012.

机译：受分子生物学和基因分型应用的启发，本文提出了一种新的分组测试模型，用于在标准算术观测下使用非二进制合并设计识别具有实际价值的项目。目的是了解有关要测试的每个项目的更多信息，而不是像常规组测试中那样仅识别出哪些是缺陷产品。本文针对所考虑的问题提供了几种可有效解码的非自适应策略。主要工具是一种称为-ary加法-分离矩阵的新结构，该结构与已知结构有关：1）Kautz和Singleton 1964的常规分离矩阵，以及2）Emad和Milenkovic 2012的SQ分离矩阵。

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来源
《Information Theory, IEEE Transactions on》 |2015年第2期|1084-1092|共9页
作者
Chang F.; Chen H.; Guo J.; Huang Y.;
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作者单位

Division of Preparatory Programs for Overseas Chinese Students, National Taiwan Normal University, Taipei, Taiwan;

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正文语种 eng
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关键词
Additives; Complexity theory; Decoding; Inhibitors; Matrix converters; Testing; Vectors; Group testing; group testing; pooling design;

机译：添加剂;复杂性理论;解码;抑制剂;矩阵转换器;测试;向量;分组测试;分组测试;池设计;

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Multigroup Testing for Items With Real-Valued Status Under Standard Arithmetic

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