The DOI matches its Crossref record; 42 of the 42 references it cites were found in a registry or an index.
Gossip algorithms: design, analysis and applications
Abstract
Motivated by applications to sensor, peer-to-peer and ad hoc networks, we study distributed asynchronous algorithms, also known as gossip algorithms, for computation and information exchange in an arbitrarily connected network of nodes. Nodes in such networks operate under limited computational, communication and energy resources. These constraints naturally give rise to "gossip" algorithms: schemes which distribute the computational burden and in which a node communicates with a randomly chosen neighbor. We analyze the averaging problem under the gossip constraint for arbitrary network, and find that the averaging time of a gossip algorithm depends on the second largest eigenvalue of a doubly stochastic matrix characterizing the algorithm. Using recent results of Boyd, Diaconis and Xiao (2003), we show that minimizing this quantity to design the fastest averaging algorithm on the network is a semi-definite program (SDP). In general, SDPs cannot be solved distributedly; however, exploiting problem structure, we propose a subgradient method that distributedly solves the optimization problem over the network. The relation of averaging time to the second largest eigenvalue naturally relates it to the mixing time of a random walk with transition probabilities that are derived from the gossip algorithm. We use this connection to study the performance of gossip algorithm on two popular networks: wireless sensor networks, which are modeled as geometric random graphs, and the Internet graph under the so-called preferential connectivity model.
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Cites
Boyd, S., & Vandenberghe, L. (2004) · doi:10.1017/cbo9780511804441 · Cited by 56,601
Self-citationConsensus Problems in Networks of Agents With Switching Topology and Time-Delays
Olfati-Saber, R., & Murray, R. M. (2004) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2004.834113 · Cited by 12,788
Optimization and Nonsmooth Analysis
Clarke, F. H. (1990) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611971309 · Cited by 10,264
Chord: A scalable peer-to-peer lookup service for internet applications
Stoica, I., Morris, R., Karger, D., Kaashoek, M. F., & Balakrishnan, H. (2001) · Proceedings of the 2001 conference on Applications, technologies, architectures, and protocols for computer communications · doi:10.1145/383059.383071 · Cited by 9,623
Coordination of groups of mobile autonomous agents using nearest neighbor rules
Jadbabaie, A., Lin, J., & Morse, A. S. (2003) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2003.812781 · Cited by 8,339
The capacity of wireless networks
Gupta, P., & Kumar, P. R. (2000) · IEEE Transactions on Information Theory · doi:10.1109/18.825799 · Cited by 8,292
A scalable content-addressable network
Ratnasamy, S., Francis, P., Handley, M., Karp, R., & Shenker, S. (2001) · Proceedings of the 2001 conference on Applications, technologies, architectures, and protocols for computer communications · doi:10.1145/383059.383072 · Cited by 6,372
Large Deviations Techniques and Applications
Schmock, U., Dembo, A., & Zeitouni, O. (2000) · Journal of the American Statistical Association · doi:10.2307/2669805 · Cited by 3,524
TAG: a Tiny AGgregation service for ad-hoc sensor networks
Madden, S., Franklin, M. J., Hellerstein, J. M., & Hong, W. (2002) · ACM SIGOPS Operating Systems Review · doi:10.1145/844128.844142 · Cited by 2,719
Fast linear iterations for distributed averaging
Xiao, L., & Boyd, S. (2004) · Systems & Control Letters · doi:10.1016/j.sysconle.2004.02.022 · Cited by 2,706
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Cited by
Consensus and Cooperation in Networked Multi-Agent Systems
Olfati-Saber, R., Fax, J. A., & Murray, R. M. (2007) · Proceedings of the IEEE · doi:10.1109/jproc.2006.887293 · Cited by 10,522
Distributed Subgradient Methods for Multi-Agent Optimization
Nedic, A., & Ozdaglar, A. (2009) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2008.2009515 · Cited by 3,719
Vicsek, T., & Zafeiris, A. (2012) · Physics Reports · doi:10.1016/j.physrep.2012.03.004 · Cited by 2,923
Boyd, S., Ghosh, A., Prabhakar, B., & Shah, D. (2006) · IEEE Transactions on Information Theory · doi:10.1109/tit.2006.874516 · Cited by 2,439
Self-citationConstrained Consensus and Optimization in Multi-Agent Networks
Nedic, A., Ozdaglar, A., & Parrilo, P. A. (2010) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2010.2041686 · Cited by 2,086
Metadata
- Authors
- Boyd, S., Ghosh, A., Prabbakar, B., & Shah, D.
- Venue
- Proceedings IEEE 24th Annual Joint Conference of the IEEE Computer and Communications Societies.
- Publisher
- IEEE
- Published
- 2005-08-24
- Volume
- 3
- Pages
- 1653-1664
- OpenAlex
- W2101517602
- Cited by
- 558
- References
- 42
- FWCI
- 30.79
- Type
- conference paper
- Language
- en
- Open access
- closed
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- Boyd, S., Ghosh, A., Prabbakar, B., & Shah, D. (2005). Gossip algorithms: design, analysis and applications. Proceedings IEEE 24th Annual Joint Conference of the IEEE Computer and Communications Societies. https://doi.org/10.1109/infcom.2005.1498447
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