The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Control approach to distributed optimization
Abstract
In this paper, we propose a novel computation model for solving the distributed optimization problem where the objective function is formed by the sum of convex functions available to individual agent. Our approach differentiates from the existing approach by local convex mixing and gradient searching in that we force the states of the model to the global optimal point by controlling the subgradient of the global optimal function. In this way, the model we proposed does not suffer from the limitation of diminishing step size in gradient searching and allows fast asymptotic convergence. The model also shows robustness to additive noise, which is a main curse for algorithms based on convex mixing or consensus.
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Cites
Horn, R. A., & Johnson, C. R. (1985) · Cited by 22,203
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
Parallel and Distributed Computation: Numerical Methods
Bertsekas, D. P., & Tsitsiklis, J. N. (1989) · DSpace@MIT (Massachusetts Institute of Technology) · Cited by 5,293
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
Matrix analysis and applied linear algebra
(2001) · Choice Reviews Online · doi:10.5860/choice.38-5065 · Cited by 3,300
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
PROBLEMS IN DECENTRALIZED DECISION MAKING AND COMPUTATION
Τσιτσικλής, Ι. (2014) · doi:10.12681/eadd/3778 · Cited by 1,278
Dual 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
Dual Averaging for Distributed Optimization: Convergence Analysis and Network Scaling
Duchi, J. C., Agarwal, A., & Wainwright, M. J. (2010) · Cited by 884
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
Cited by
A survey of distributed optimization
Yang, T., Yi, X., Wu, J., Yuan, Y., Wu, D., Meng, Z., Hong, Y., Wang, H., Lin, Z., & Johansson, K. H. (2019) · Annual Reviews in Control · doi:10.1016/j.arcontrol.2019.05.006 · Cited by 913
Distributed Continuous-Time Convex Optimization on Weight-Balanced Digraphs
Gharesifard, B., & Cortes, J. (2014) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2013.2278132 · Cited by 833
Kia, S. S., Cortés, J., & Martínez, S. (2015) · Automatica · doi:10.1016/j.automatica.2015.03.001 · Cited by 694
A control perspective for centralized and distributed convex optimization
Wang, J., & Elia, N. (2011) · IEEE Conference on Decision and Control and European Control Conference · doi:10.1109/cdc.2011.6161503 · Cited by 398
Self-citationLinear Convergence Rate of a Class of Distributed Augmented Lagrangian Algorithms
Jakovetic, D., Moura, J. M. F., & Xavier, J. (2015) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2014.2363299 · Cited by 123
Metadata
- Authors
- Wang, J., & Elia, N.
- Venue
- 2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton)
- Publisher
- IEEE
- Published
- 2010-09
- Pages
- 557-561
- OpenAlex
- W2026509976
- Cited by
- 358
- References
- 14
- FWCI
- 7.52
- Type
- conference paper
- Language
- en
- Open access
- closed
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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.
