@inproceedings{fb8c7e11df1446e7b5581258f2eae5e9,
title = "On distributed averaging algorithms and quantization effects",
abstract = "We consider distributed iterative algorithms for the averaging problem over time-varying topologies. Our focus is on the convergence time of such algorithms when complete (unquantized) information is available, and on the degradation of performance when only quantized information is available. We study a large and natural class of averaging algorithms, which includes the vast majority of algorithms proposed to date, and provide tight polynomial bounds on their convergence time. We then propose and analyze distributed averaging algorithms under the additional constraint that agents can only store and communicate quantized information. We show that these algorithms converge to the average of the initial values of the agents within some error. We establish bounds on the error and tight bounds on the convergence time, as a function of the number of quantization levels.",
author = "Angelia Nedi{\'c} and Alex Olshevsky and Asuman Ozdaglar and Tsitsiklis, {John N.}",
year = "2008",
doi = "10.1109/CDC.2008.4738891",
language = "English (US)",
isbn = "9781424431243",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "4825--4830",
booktitle = "Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008",
address = "United States",
note = "47th IEEE Conference on Decision and Control, CDC 2008 ; Conference date: 09-12-2008 Through 11-12-2008",
}