On Byzantine Distributed Sequential Change Detection with Multiple Hypotheses

Yu Jui Huang, Shih Chun Lin, Yu Chih Huang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

Sequential change point detection with multiple decentralized sensors is studied. Each sensor makes a local decision based on its own observations and reports it through a bandlimited link to a fusion center, which then decides whether the change has occurred. Since sensors in many applications such as cyber-physical systems are prone to a number of attacks such as Byzantine attacks, combating such a security breach becomes one of the most crucial issues. Previous works on sequential change detection under Byzantine attacks only focus on binary-hypothesis case, which significantly limits the applicability. In this paper, we consider the extension to the multi-hypothesis setting. We show that naively extending the existing method from the binary case to the multi-hypothesis one can result in a catastrophic event preventing the fusion center from making a conclusive decision. Thus we propose the other two new methods by allowing each sensor to cast multiple local alarms, and both can avoid this catastrophic event and improve the asymptotic detection delay. In analyzing detection delays of our multi-hypothesis schemes, we also show that for each hypothesis, asymptotically, it suffices to focus on the competing hypothesis that is closest in Kullback-Leibler distance. Through large sensor analysis, we also show that as the number of honest sensors grows, one of the proposed scheme, called the simultaneous rule, approaches the optimal performance within a factor of 2.

Original languageEnglish
Title of host publication2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2209-2213
Number of pages5
ISBN (Electronic)9781538692912
DOIs
StatePublished - Jul 2019
Event2019 IEEE International Symposium on Information Theory, ISIT 2019 - Paris, France
Duration: 7 Jul 201912 Jul 2019

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
Volume2019-July
ISSN (Print)2157-8095

Conference

Conference2019 IEEE International Symposium on Information Theory, ISIT 2019
CountryFrance
CityParis
Period7/07/1912/07/19

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  • Cite this

    Huang, Y. J., Lin, S. C., & Huang, Y. C. (2019). On Byzantine Distributed Sequential Change Detection with Multiple Hypotheses. In 2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings (pp. 2209-2213). [8849778] (IEEE International Symposium on Information Theory - Proceedings; Vol. 2019-July). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2019.8849778