The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Convergence Speed in Distributed Consensus and Averaging
Open accessAbstract
We study the convergence speed of distributed iterative algorithms for the consensus and averaging problems, with emphasis on the latter. We first consider the case of a fixed communication topology. We show that a simple adaptation of a consensus algorithm leads to an averaging algorithm. We prove lower bounds on the worst-case convergence time for various classes of linear, time-invariant, distributed consensus methods, and provide an algorithm that essentially matches those lower bounds. We then consider the case of a time-varying topology, and provide a polynomial-time averaging algorithm.
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Citations
Cites
Consensus 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
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 · cited 1×
“The distributed consensus problem has historically appeared in many diverse areas, such as parallel computation [30, 31, 3], control theory [18, 28], and communication networks [24, 22].”
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
Accuracy and Stability of Numerical Algorithms: Second Edition
Higham, N. J. (2002) · doi:10.1137/1.9780898718027 · Cited by 3,803
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
Distributed asynchronous deterministic and stochastic gradient optimization algorithms
Tsitsiklis, J., Bertsekas, D., & Athans, M. (1986) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1986.1104412 · Cited by 1,967
Self-citationDistributed Stochastic Subgradient Projection Algorithms for Convex Optimization
Sundhar Ram, S., Nedić, A., & Veeravalli, V. V. (2010) · Journal of Optimization Theory and Applications · doi:10.1007/s10957-010-9737-7 · Cited by 814
On Distributed Averaging Algorithms and Quantization Effects
Nedic, A., Olshevsky, A., Ozdaglar, A., & Tsitsiklis, J. N. (2009) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2009.2031203 · Cited by 557
Self-citationSpread of (mis)information in social networks
Acemoglu, D., Ozdaglar, A., & ParandehGheibi, A. (2010) · Games and Economic Behavior · doi:10.1016/j.geb.2010.01.005 · Cited by 444
Cited by
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
Constrained 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
Distributed Control of Robotic Networks: A Mathematical Approach to Motion Coordination Algorithms
Bullo, F., Cortés, J., & Martínez, S. (2009) · Princeton University Press eBooks · doi:10.1515/9781400831470 · Cited by 1,509
Distributed Stochastic Subgradient Projection Algorithms for Convex Optimization
Sundhar Ram, S., Nedić, A., & Veeravalli, V. V. (2010) · Journal of Optimization Theory and Applications · doi:10.1007/s10957-010-9737-7 · Cited by 814
On Distributed Convex Optimization Under Inequality and Equality Constraints
Zhu, M., & Martinez, S. (2012) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2011.2167817 · Cited by 759
Metadata
- Authors
- Olshevsky, A., & Tsitsiklis, J. N.
- Venue
- SIAM Journal on Control and Optimization
- Published
- 2009-01
- Volume
- 48
- Issue
- 1
- Pages
- 33-55
- ISSN
- 0363-0129 (ISSN-L)
- 1095-7138
- OpenAlex
- W1593331236
- Cited by
- 692
- References
- 9
- FWCI
- 60.98
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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