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Let R be a real funccion on a discrete set Z∊R. A Robbins-Moniotype stochastic approximation procedure is considered for solving the equation R(z) = 0, or for finding the point of the minimal absolute value of R, if there is no solution of R(z) =0 in Z, The procedure is modified so as to be also asymptotically optimal as a strategy for the multi-armed bandit problem. The Kiefer-Wolfowitz-type situation and the multi-dimensional generalizations are also Considered.
Dupaˇ et al. (Fri,) studied this question.
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