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Network cardinality estimation using max consensus: the case of Bernoulli trials
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Signals and Systems.
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Signals and Systems.ORCID iD: 0000-0002-4310-7938
Université Catholique de Louvain.
Université Catholique de Louvain.
Number of Authors: 4
2015 (English)In: IEEE 54th Annual Conference on Decision and Control (CDC): Osaka, Japan, 15-18 Dec. 2015, Piscataway, NJ: IEEE Communications Society, 2015, 895-901 p., 7402342Conference paper (Refereed)
Abstract [en]

Interested in scalable topology reconstruction strategies with fast convergence times, we consider network cardinality estimation schemes that use, as their fundamental aggregation mechanism, the computation of bit-wise maxima over strings. We thus discuss how to choose optimally the parameters of the information generation process under frequentist assumptions on the estimand, derive the resulting Maximum Likelihood (ML) estimator, and characterize its statistical performance as a function of the communications and memory requirements. We then numerically compare the bitwise-max based estimator against lexicographic-max based estimators, and derive insights on their relative performances in function of the true cardinality.

Place, publisher, year, edition, pages
Piscataway, NJ: IEEE Communications Society, 2015. 895-901 p., 7402342
Series
I E E E Conference on Decision and Control. Proceedings, ISSN 0743-1546
National Category
Control Engineering
Research subject
Control Engineering
Identifiers
URN: urn:nbn:se:ltu:diva-34143DOI: 10.1109/CDC.2015.7402342ISI: 000381554501031Local ID: 842e74f7-bfaf-4be6-9fb4-bfba308dc423ISBN: 978-1-4799-7884-7 (print)OAI: oai:DiVA.org:ltu-34143DiVA: diva2:1007393
Conference
IEEE Conference of Decision and Control : 16/12/2015 - 18/12/2015
Note

Godkänd; 2015; 20150725 (ricluc)

Available from: 2016-09-30 Created: 2016-09-30 Last updated: 2017-03-13Bibliographically approved
In thesis
1. Distributed Estimation of Network Cardinalities
Open this publication in new window or tab >>Distributed Estimation of Network Cardinalities
2017 (English)Licentiate thesis, comprehensive summary (Other academic)
Alternative title[sv]
Distribuerad skattning av nätverkskardinalitet
Place, publisher, year, edition, pages
Luleå: Luleå University of Technology, 2017
Series
Licentiate thesis / Luleå University of Technology, ISSN 1402-1757
National Category
Control Engineering
Research subject
Control Engineering
Identifiers
urn:nbn:se:ltu:diva-62460 (URN)978-91-7583-843-4 (ISBN)978-91-7583-844-1 (ISBN)
Available from: 2017-03-15 Created: 2017-03-13 Last updated: 2017-03-15Bibliographically approved

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Citation style
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