Distributed Function Calculation over Noisy Networks
Joint Authors
Zeng, Zhidun
Yang, Xin
Zhang, Ze
Mo, Xiaoyu
Long, Zhiqiang
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-04-20
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Considering any connected network with unknown initial states for all nodes, the nearest-neighbor rule is utilized for each node to update its own state at every discrete-time step.
Distributed function calculation problem is defined for one node to compute some function of the initial values of all the nodes based on its own observations.
In this paper, taking into account uncertainties in the network and observations, an algorithm is proposed to compute and explicitly characterize the value of the function in question when the number of successive observations is large enough.
While the number of successive observations is not large enough, we provide an approach to obtain the tightest possible bounds on such function by using linear programing optimization techniques.
Simulations are provided to demonstrate the theoretical results.
American Psychological Association (APA)
Zeng, Zhidun& Yang, Xin& Zhang, Ze& Mo, Xiaoyu& Long, Zhiqiang. 2016. Distributed Function Calculation over Noisy Networks. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1112406
Modern Language Association (MLA)
Zeng, Zhidun…[et al.]. Distributed Function Calculation over Noisy Networks. Mathematical Problems in Engineering No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1112406
American Medical Association (AMA)
Zeng, Zhidun& Yang, Xin& Zhang, Ze& Mo, Xiaoyu& Long, Zhiqiang. Distributed Function Calculation over Noisy Networks. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1112406
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112406