The DOI matches its Crossref record; 35 of the 35 references it cites were found in a registry or an index.
Distributed average consensus with least-mean-square deviation
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Boyd, S., & Vandenberghe, L. (2004) · doi:10.1017/cbo9780511804441 · Cited by 56,601
Self-citation(2021) · A First Course in Statistical Programming with R · doi:10.1017/9781108993456.011 · Cited by 13,724
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
Bertsekas, D. P. (1997) · Journal of the Operational Research Society · doi:10.1038/sj.jors.2600425 · Cited by 11,726
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
Consensus seeking in multiagent systems under dynamically changing interaction topologies
Ren, W., & Beard, R. W. (2005) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2005.846556 · Cited by 6,569
(1992) · Lecture Notes in Computer Science · doi:10.1007/bfb0022433 · Cited by 3,955
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
Self-citationStability of multiagent systems with time-dependent communication links
Moreau, L. (2005) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2004.841888 · Cited by 2,706
Introduction to linear and nonlinear programming
Polak, E. (1974) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1974.1100535 · Cited by 2,100
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
Introduction to linear and nonlinear programming
Luenberger, D. G. (1973) · Medical Entomology and Zoology · Cited by 1,915
(1996) · Lecture Notes in Computer Science · doi:10.1007/3-540-61769-8 · Cited by 1,865
PROBLEMS IN DECENTRALIZED DECISION MAKING AND COMPUTATION
Τσιτσικλής, Ι. (2014) · doi:10.12681/eadd/3778 · Cited by 1,278
A scheme for robust distributed sensor fusion based on average consensus
Xiao, L., Boyd, S., & Lall, S. (2005) · doi:10.5555/1147685.1147698 · Cited by 1,170
Self-citationDynamic load balancing for distributed memory multiprocessors
Cybenko, G. (1989) · Journal of Parallel and Distributed Computing · doi:10.1016/0743-7315(89)90021-x · Cited by 997
Markov Chains: Gibbs Fields, Monte Carlo Simulation, and Queues
Odentrantz, J. (2000) · Technometrics · doi:10.1080/00401706.2000.10485734 · Cited by 973
(2000) · Electric Power System Applications of Optimization · doi:10.1201/9781420056266-13 · Cited by 908
Geometric Bounds for Eigenvalues of Markov Chains
Diaconis, P., & Stroock, D. (1991) · The Annals of Applied Probability · doi:10.1214/aoap/1177005980 · Cited by 882
Convergence in Multiagent Coordination, Consensus, and Flocking
Blondel, V. D., Hendrickx, J. M., Olshevsky, A., & Tsitsiklis, J. N. (2006) · Proceedings of the 44th IEEE Conference on Decision and Control · doi:10.1109/cdc.2005.1582620 · Cited by 859
Convex Analysis and Nonlinear Optimization
Borwein, J. M., & Lewis, A. S. (2006) · CMS books in mathematics · doi:10.1007/978-0-387-31256-9 · Cited by 780
Fastest Mixing Markov Chain on a Graph
Boyd, S., Diaconis, P., & Xiao, L. (2004) · SIAM Review · doi:10.1137/s0036144503423264 · Cited by 744
Self-citationA scheme for robust distributed sensor fusion based on average consensus
Xiao, L., Boyd, S., & Lall, S. (2005) · IPSN 2005. Fourth International Symposium on Information Processing in Sensor Networks, 2005. · doi:10.1109/ipsn.2005.1440896 · Cited by 713
Self-citationSome applications of Laplace eigenvalues of graphs
Mohar, B. (1997) · Graph Symmetry · doi:10.1007/978-94-015-8937-6_6 · Cited by 422
Convex Analysis and Nonlinear Optimization
Borwein, J. M., & Lewis, A. S. (2000) · Springer eBooks · doi:10.1007/978-1-4757-9859-3 · Cited by 394
Overton, M. L., & Womersley, R. S. (1993) · Mathematical Programming · doi:10.1007/bf01585173 · Cited by 189
Convex Analysis on the Hermitian Matrices
Lewis, A. S. (1996) · SIAM Journal on Optimization · doi:10.1137/0806009 · Cited by 187
宮沢, 政. (2000) · オペレーションズ・リサーチ : 経営の科学 · Cited by 183
Twice Differentiable Spectral Functions
Lewis, A., & Sendov, H. S. (2001) · SIAM Journal on Matrix Analysis and Applications · doi:10.1137/s089547980036838x · Cited by 115
Locally constructed algorithms for distributed computations in ad-hoc networks
Scherber, D. S., & Papadopoulos, H. (2004) · International Symposium on Information Processing in Sensor Networks (IPSN) · doi:10.1145/984622.984625 · Cited by 112
Fastest Mixing Markov Chain on Graphs with SymmetriesPreprint
Boyd, S., Diaconis, P. W., Parrilo, P. A., & Xiao, L. (2007) · Cited by 94
Self-citationA Theory of Clock Synchronization
Boaz, P., & Patt, B. (1994) · Cited by 64
A theory of clock synchronization (extended abstract)
Patt-Shamir, B., & Rajsbaum, S. (1994) · ACM Symposium on Theory of Computing (STOC) · doi:10.1145/195058.195466 · Cited by 62
Symmetry Analysis of Reversible Markov Chains
Boyd, S., Diaconis, P. W., Parrilo, P. A., & Xiao, L. (2005) · Internet Mathematics · doi:10.1080/15427951.2005.10129100 · Cited by 58
Self-citationRoy, B. V., & Moallemi, C. C. (2005) · neural information processing systems · Cited by 15
Cited by
(2005) · Elements of Information Theory · doi:10.1002/047174882x.ch15 · Cited by 1,504
EXTRA: An Exact First-Order Algorithm for Decentralized Consensus Optimization
Shi, W., Ling, Q., Wu, G., & Yin, W. (2015) · SIAM Journal on Optimization · doi:10.1137/14096668x · Cited by 1,261
Achieving Geometric Convergence for Distributed Optimization Over Time-Varying Graphs
Nedić, A., Olshevsky, A., & Shi, W. (2017) · SIAM Journal on Optimization · doi:10.1137/16m1084316 · Cited by 1,069
“Some examples include distributed averaging [7,50,72], distributed spectrum sensing [1], formation control [49, 58], power system control [21, 55], statistical inference and learning [20, 45, 53].”
BackgroundDual Averaging for Distributed Optimization: Convergence Analysis and Network Scaling
Duchi, J. C., Agarwal, A., & Wainwright, M. J. (2012) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2011.2161027 · Cited by 947
On the Linear Convergence of the ADMM in Decentralized Consensus Optimization
Shi, W., Ling, Q., Yuan, K., Wu, G., & Yin, W. (2014) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2014.2304432 · Cited by 820
Metadata
- Authors
- Xiao, L., Boyd, S., & Kim, S.-J.
- Venue
- Journal of Parallel and Distributed Computing
- Publisher
- Elsevier BV
- Published
- 2007-01
- Volume
- 67
- Issue
- 1
- Pages
- 33-46
- ISSN
- 0743-7315 (ISSN-L)
- OpenAlex
- W2151685478
- Cited by
- 1,107
- References
- 35
- FWCI
- 57.68
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
