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We establish the O($\frac{1}{k}$) convergence rate for distributed stochastic gradient methods that operate over strongly convex costs and random networks.
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A. Nedic and A. Olshevsky, “Stochastic gradient-push for strongly convex functions on time-varying directed graphs,” IEEE Transactions on Automatic Control , vol. 61, no. 12, pp. 3936–3947, Dec. 2016
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N. D. Vanli, M. O. Sayin, and S. S. Kozat, “Stochastic subgradient algorithms for strongly convex optimization over distributed networks,” IEEE Transactions on network science and engineering , vol. 4, no. 4, pp. 248–260, Oct.-Dec. 2017
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D. Yuan, Y. Hong, D. W. C. Ho, and G. Jiang, “Optimal distributed stochastic mirror descent for strongly convex optimization,” Automatica , vol. 90, pp. 196–203, April 2018
2018
Closest in time.
A. K. Sahu, D. Jakovetic, D. Bajovic, and S. Kar, “Distributed zeroth order optimization over random networks: A Kiefer-Wolfowitz stochastic approximation approach,” 2018, available at https://www.dropbox.com/s/kfc2hgbfcx5yhr8/MainCDC2018KWSA.pdf
2018
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