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Consider a set of networked agents endowed with private cost functions and seeking to find a consensus on the minimizer of the aggregate cost.
“Monotone operators and the proximal point algorithm,”
R Tyrrell Rockafellar, · 1976
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“Splitting algorithms for the sum of two nonlinear operators,”
P.L. Lions and B. Mercier, · 1979
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“Distributed asynchronous deterministic and stochastic gradient optimization algorithms,”
John N. Tsitsiklis, Dimitri P. Bertsekas, and Mlichael Athans, · 1986
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Parallel and distributed computation
Dimitri P Bertsekas and John N Tsitsiklis, · 1989
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“On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators,”
J. Eckstein and D. P. Bertsekas, · 1992
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Convex Analysis and Nonlinear Optimization : Theory and Examples
J.M. Borwein and A.S. Lewis, · 2006
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“Randomized gossip algorithms,”
S. Boyd, A. Ghosh, B. Prabhakar, and D. Shah, · 2006
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“Consensus in Ad Hoc WSNs With Noisy Links – Part I: Distributed Estimation of Deterministic Signals,”
I.D. Schizas, A. Ribeiro, and G.B. Giannakis, · 2008
Cited alongside, same era.
“A distributed newton method for network optimization,”
Ali Jadbabaie, Asuman Ozdaglar, and Michael Zargham, · 2009
Cited alongside, same era.
“Distributed Stochastic Subgradient Projection Algorithms for Convex Optimization,”
S. Ram, A. Nedic, and V. Veeravalli, · 2010
Cited alongside, same era.
“Distributed Clustering Using Wireless Sensor Networks,”
P. A. Forero, A. Cano, and G. B. Giannakis, · 2011
Cited alongside, same era.
Fixed-Point Algorithms for Inverse Problems in Science and Engineering
Patrick L. Combettes and Jean-Christophe Pesquet, · 2011
Cited alongside, same era.
Distributed optimization and statistical learning via the alternating direction method of multipliers
Convex analysis and monotone operator theory in Hilbert spaces
Heinz H Bauschke and Patrick L Combettes, · 2011
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“Distributed Nesterov-like gradient algorithms,”
Dusan Jakovetić, José M. F. Moura, and Xavier Joao, · 2012
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“Dual Averaging for Distributed Optimization: Convergence Analysis and Network Scaling,”
J. C. Duchi, A. Agarwal, and M. J. Wainwright, · 2012
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“Distributed ADMM for model predictive control and congestion control,”
Joao F. C. Mota, Joao M. F. Xavier, Pedro M. Q. Aguiar, and Markus Puschel, · 2012
Later among the works it cites.
“Distributed Alternating Direction Method of Multipliers,”
Ermin Wei and Asuman Ozdaglar, · 2012
Later among the works it cites.
“Convergence of a multi-agent projected stochastic gradient algorithm for non-convex optimization,”
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S. Boyd, N. Parikh, E. Chu, B. Peleato, and J. Eckstein, · 2011
Cited alongside, same era.
P. Bianchi and J. Jakubowicz, · 2013
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