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Traditional stochastic approximation (SA) schemes employ a single gradient or a fixed batch of noisy gradients in computing a new iterate. We consider SA schemes in which Nk samples are utilized at step k and the total simulation budget is M, where equation and K denotes the terminal step. This paper makes the following contributions in the strongly convex regime: (I) We conduct an error analysis...
We present general principles for the design and analysis of unbiased Monte Carlo estimators for quantities such as α = g(E (X)), where E (X) denotes the expectation of a (possibly multidimensional) random variable X, and g(·) is a given deterministic function. Our estimators possess finite work-normalized variance under mild regularity conditions such as local twice differentiability of g(·) and...
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