IEEE Transactions on Automatic Control · 1986 · 2K citations · 12 references
ComputingComputer ScienceAlgorithmsDistributed SystemsParallel AlgorithmsDistributed AlgorithmsDistributed ComputingDistributed Data ProcessingDistributed SynchronizationAsynchronous Distributed AlgorithmsCommunication DelaysConvergenceDistributed OptimizationStochastic Gradient Descent
We present a model for asynchronous distributed computation and then proceed to analyze the convergence of natural asynchronous distributed versions of a large class of deterministic and stochastic gradient-like algorithms. We show that such algorithms retain the desirable convergence properties of their centralized counterparts, provided that the time between consecutive interprocessor communications and the communication delays are not too large.
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Analysis of recursive stochastic algorithms
Lennart Ljung · IEEE Transactions on Automatic Control · 1977 · 1.5K citations
Walter A. Rosenkrantz, Paul A. Meyer · Mathematics of Computation · 1967 · 985 citations
Asynchronous Iterative Methods for Multiprocessors
Gérard M. Baudet · Journal of the ACM · 1978 · 522 citations · Full text