NDLI: Convergence rate of Controlled Hopwise Averaging on various graphs

Content Provider	IEEE Xplore Digital Library
Author	Jie Lu Choon Yik Tang
Copyright Year	2011
Description	Author affiliation: School of Electrical and Computer Engineering, University of Oklahoma, Norman, 73019, USA (Jie Lu; Choon Yik Tang)
Abstract	This paper analyzes the convergence properties of Ideal Controlled Hopwise Averaging (ICHA) and Controlled Hopwise Averaging (CHA), two recently proposed asynchronous distributed averaging algorithms for wireless networks, which were shown via simulation to be more bandwidth/energy efficient than several existing schemes. We first derive deterministic upper bounds on the exponential convergence rate of ICHA on general graphs and specific ones (i.e., path, cycle, regular, strongly regular, and complete graphs), expressing the bounds explicitly in terms of the graph invariants. We then show that such bounds of ICHA are roughly 20% better than the average-case, stochastic convergence rate of Pairwise Averaging on path, cycle, and complete graphs. Finally, we obtain upper bounds on the convergence rate of CHA with respect to iteration and time, and show that iteration-wise CHA enjoys the same bounds as ICHA, closely mimicking its behavior while being practical.
Starting Page	4290
Ending Page	4295
File Size	209570
Page Count	6
File Format	PDF
ISBN	9781612848006
ISSN	07431546
e-ISBN	9781612848013
e-ISBN	9781612847993
DOI	10.1109/CDC.2011.6160531
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-12-12
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Convergence Nickel Lyapunov methods Wireless networks Prediction algorithms MIMICs
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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