Analysis of accelerated gossip algorithms

J. Liu; B. D.O. Anderson; M. Cao; A. S. Morse

doi:10.1109/CDC.2009.5399566

Analysis of accelerated gossip algorithms

J. Liu^*, B. D.O. Anderson, M. Cao, A. S. Morse

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

19 Citations (Scopus)

Abstract

This paper investigates accelerated gossip algorithms for distributed computations in networks where shiftregisters are utilized at each node. By using tools from matrix analysis, we prove the existence of the desired acceleration and establish the fastest rate of convergence in expectation for two-register symmetric gossip. Some classes of networks with regular graph topologies are studied in detail to validate the analytical results by comparison with existing empirical data. We also analyze convergence of second moment and provide a necessary condition for convergence in multi-register symmetric gossip. The proposed approach has the potential to be applied to the more challenging open problem of asymmetric gossip.

Original language	English
Title of host publication	Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	871-876
ISBN (Electronic)	978-1-4244-3872-3
ISBN (Print)	978-1-4244-3871-6
DOIs	https://doi.org/10.1109/CDC.2009.5399566
Publication status	Published - 2009
Event	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China Duration: 15 Dec 2009 → 18 Dec 2009

Publication series

Name
ISSN (Print)	0191-2216

Conference

Conference	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Country/Territory	China
City	Shanghai
Period	15/12/09 → 18/12/09

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10.1109/CDC.2009.5399566

Cite this

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title = "Analysis of accelerated gossip algorithms",

abstract = "This paper investigates accelerated gossip algorithms for distributed computations in networks where shiftregisters are utilized at each node. By using tools from matrix analysis, we prove the existence of the desired acceleration and establish the fastest rate of convergence in expectation for two-register symmetric gossip. Some classes of networks with regular graph topologies are studied in detail to validate the analytical results by comparison with existing empirical data. We also analyze convergence of second moment and provide a necessary condition for convergence in multi-register symmetric gossip. The proposed approach has the potential to be applied to the more challenging open problem of asymmetric gossip.",

author = "J. Liu and Anderson, {B. D.O.} and M. Cao and Morse, {A. S.}",

year = "2009",

doi = "10.1109/CDC.2009.5399566",

language = "English",

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pages = "871--876",

booktitle = "Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference",

address = "United States",

note = "48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 ; Conference date: 15-12-2009 Through 18-12-2009",

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Liu, J, Anderson, BDO, Cao, M & Morse, AS 2009, Analysis of accelerated gossip algorithms. in Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference. Institute of Electrical and Electronics Engineers Inc., pp. 871-876, 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009, Shanghai, China, 15/12/09. https://doi.org/10.1109/CDC.2009.5399566

Analysis of accelerated gossip algorithms. / Liu, J.; Anderson, B. D.O.; Cao, M. et al.
Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference. Institute of Electrical and Electronics Engineers Inc., 2009. p. 871-876.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Analysis of accelerated gossip algorithms

AU - Liu, J.

AU - Anderson, B. D.O.

AU - Cao, M.

AU - Morse, A. S.

PY - 2009

Y1 - 2009

N2 - This paper investigates accelerated gossip algorithms for distributed computations in networks where shiftregisters are utilized at each node. By using tools from matrix analysis, we prove the existence of the desired acceleration and establish the fastest rate of convergence in expectation for two-register symmetric gossip. Some classes of networks with regular graph topologies are studied in detail to validate the analytical results by comparison with existing empirical data. We also analyze convergence of second moment and provide a necessary condition for convergence in multi-register symmetric gossip. The proposed approach has the potential to be applied to the more challenging open problem of asymmetric gossip.

AB - This paper investigates accelerated gossip algorithms for distributed computations in networks where shiftregisters are utilized at each node. By using tools from matrix analysis, we prove the existence of the desired acceleration and establish the fastest rate of convergence in expectation for two-register symmetric gossip. Some classes of networks with regular graph topologies are studied in detail to validate the analytical results by comparison with existing empirical data. We also analyze convergence of second moment and provide a necessary condition for convergence in multi-register symmetric gossip. The proposed approach has the potential to be applied to the more challenging open problem of asymmetric gossip.

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U2 - 10.1109/CDC.2009.5399566

DO - 10.1109/CDC.2009.5399566

M3 - Conference contribution

SN - 978-1-4244-3871-6

SP - 871

EP - 876

BT - Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009

Y2 - 15 December 2009 through 18 December 2009

ER -

Analysis of accelerated gossip algorithms

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