TY - GEN
T1 - On distributed averaging algorithms and quantization effects
AU - Nedić, Angelia
AU - Olshevsky, Alex
AU - Ozdaglar, Asuman
AU - Tsitsiklis, John N.
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=62949158336&partnerID=8YFLogxK
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U2 - 10.1109/CDC.2008.4738891
DO - 10.1109/CDC.2008.4738891
M3 - Conference contribution
AN - SCOPUS:62949158336
SN - 9781424431243
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 4825
EP - 4830
BT - Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 47th IEEE Conference on Decision and Control, CDC 2008
Y2 - 9 December 2008 through 11 December 2008
ER -