Blind Group Testing

Wasim Huleihel; Ohad Elishco; Muriel Medard

doi:10.1109/ISIT.2018.8437582

Blind Group Testing

Wasim Huleihel, Ohad Elishco, Muriel Medard

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The main goal in group testing is to recover a small subset of defective items from a larger population, while efficiently reducing the total number of (possibly noisy) required tests/measurements. In this paper, we analyze the fundamental limits of a general noisy group testing problem when the channel law is unknown. Specifically, we obtain sufficient conditions on the number of tests required for exact recovery using two decoders; the first is based on joint-decoding (inefficient), and the second is a based on separate-decoding (efficient). We show that in several scenarios, our decoders achieve the same performance as if the channel was known, implying that the proposed decoders are robust/universal.

Original language	English
Title of host publication	2018 IEEE International Symposium on Information Theory, ISIT 2018
Publisher	Institute of Electrical and Electronics Engineers
Pages	2594-2598
Number of pages	5
ISBN (Print)	9781538647806
DOIs	https://doi.org/10.1109/ISIT.2018.8437582
State	Published - 15 Aug 2018
Externally published	Yes
Event	2018 IEEE International Symposium on Information Theory, ISIT 2018 - Vail, United States Duration: 17 Jun 2018 → 22 Jun 2018

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
Volume	2018-June
ISSN (Print)	2157-8095

Conference

Conference	2018 IEEE International Symposium on Information Theory, ISIT 2018
Country/Territory	United States
City	Vail
Period	17/06/18 → 22/06/18

ASJC Scopus subject areas

Theoretical Computer Science
Information Systems
Modeling and Simulation
Applied Mathematics

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10.1109/ISIT.2018.8437582

Cite this

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title = "Blind Group Testing",

abstract = "The main goal in group testing is to recover a small subset of defective items from a larger population, while efficiently reducing the total number of (possibly noisy) required tests/measurements. In this paper, we analyze the fundamental limits of a general noisy group testing problem when the channel law is unknown. Specifically, we obtain sufficient conditions on the number of tests required for exact recovery using two decoders; the first is based on joint-decoding (inefficient), and the second is a based on separate-decoding (efficient). We show that in several scenarios, our decoders achieve the same performance as if the channel was known, implying that the proposed decoders are robust/universal.",

author = "Wasim Huleihel and Ohad Elishco and Muriel Medard",

note = "Funding Information: The work of W. Huleihel was supported by the MIT - Technion Postdoctoral Fellowship. Publisher Copyright: {\textcopyright} 2018 IEEE.; 2018 IEEE International Symposium on Information Theory, ISIT 2018 ; Conference date: 17-06-2018 Through 22-06-2018",

year = "2018",

month = aug,

day = "15",

doi = "10.1109/ISIT.2018.8437582",

language = "English",

isbn = "9781538647806",

series = "IEEE International Symposium on Information Theory - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers",

pages = "2594--2598",

booktitle = "2018 IEEE International Symposium on Information Theory, ISIT 2018",

address = "United States",

}

Huleihel, W, Elishco, O & Medard, M 2018, Blind Group Testing. in 2018 IEEE International Symposium on Information Theory, ISIT 2018., 8437582, IEEE International Symposium on Information Theory - Proceedings, vol. 2018-June, Institute of Electrical and Electronics Engineers, pp. 2594-2598, 2018 IEEE International Symposium on Information Theory, ISIT 2018, Vail, United States, 17/06/18. https://doi.org/10.1109/ISIT.2018.8437582

Blind Group Testing. / Huleihel, Wasim; Elishco, Ohad; Medard, Muriel.
2018 IEEE International Symposium on Information Theory, ISIT 2018. Institute of Electrical and Electronics Engineers, 2018. p. 2594-2598 8437582 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2018-June).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - The main goal in group testing is to recover a small subset of defective items from a larger population, while efficiently reducing the total number of (possibly noisy) required tests/measurements. In this paper, we analyze the fundamental limits of a general noisy group testing problem when the channel law is unknown. Specifically, we obtain sufficient conditions on the number of tests required for exact recovery using two decoders; the first is based on joint-decoding (inefficient), and the second is a based on separate-decoding (efficient). We show that in several scenarios, our decoders achieve the same performance as if the channel was known, implying that the proposed decoders are robust/universal.

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ER -

Blind Group Testing

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