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A Strong Approximation Theorem for Stochastic Recursive Algorithms
Authors:Borkar  V S  Mitter  S K
Institution:(1) Department of Computer Science and Automation, Indian Institute of Science, Bangalore, India;(2) Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, Massachusetts
Abstract:The constant stepsize analog of Gelfand–Mitter type discrete-time stochastic recursive algorithms is shown to track an associated stochastic differential equation in the strong sense, i.e., with respect to an appropriate divergence measure.
Keywords:Stochastic algorithms  approximation of stochastic differential equations  constant stepsize algorithms  asymptotic behavior
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