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Distributed computing offers a high degree of flexibility to accommodate modern learning constraints and the ever increasing size of datasets involved in massive data issues.
A stochastic approximation method
H. Robbins and S. Monro · 1951
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Stochastic estimation of the maximum of a regression function
J. Kiefer and J. Wolfowitz · 1952
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Singular Integrals and Differentiability Properties of Functions
E.M. Stein · 1970
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Robbins-Monro procedure in a Hilbert space and its application in the theory of learning processes I
P. Révész · 1973
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How to apply the method of stochastic approximation in the non-parametric estimation of a regression function
P. Révész · 1977
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Consistent nonparametric regression (with discussion)
C.J. Stone · 1977
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Recent results on nonparametric regression estimate and multiple classification
L. Györfi · 1981
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Problems in decentralized decision making and computation
J.N. Tsitsiklis · 1984
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Distributed asynchronous deterministic and stochastic gradient optimization algorithms
J.N. Tsitsiklis, D.P. Bertsekas, and M. Athans · 1986
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On the strong universal consistency of a series type regression estimate
L. Györfi and H. Walk · 1996
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Parallel and Distributed Computation: Numerical Methods
D.P. Bertsekas and J.N. Tsitsiklis · 1997
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On the strong universal consistency of a recursive regression estimate by Pál Révész
L. Györfi and H. Walk · 1997
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Strong universal pointwise consistency of recursive regression estimates
H. Walk · 2001
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Convergent in multiagent coordination, consensus, and flocking
V.D. Blondel, J.M. Hendrickx, A. Olshevsky, and J.N. Tsitsiklis · 2005
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Randomized gossip algorithms
S. Boyd, A. Ghosh, B. Prabhakar, and D. Shah · 2006
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Revisiting Révész stochastic approximation method for the estimation of a regression function
A. Mokkadem, M. Pelletier, and Y. Slaoui · 2009
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Convergence of distributed asynchronous learning vector quantization algorithms
B. Patra · 2011
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On-line learning gossip algorithm in multi-agent systems with local decision rules
P. Bianchi, S. Clémençon, J. Jakubowicz, and G. Morra Adel · 2013
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On statistics, computation and scalability
M.I. Jordan · 2013
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A Distribution-Free Theory of Nonparametric Regression
L. Györfi, M. Kohler, A. Krzyżak, and H. Walk · 2002
Cited alongside, same era.
Convergence of a distributed parameter estimator for sensor networks with local averaging of the estimates
P. Bianchi, G. Fort, W. Hachem, and J. Jakubowicz
Cited in the paper.
Performance analysis of a distributed Robbins-Monro algorithm for sensor networks
P. Bianchi, G. Fort, W. Hachem, and J. Jakubowicz
Cited in the paper.