Extensions of Kestin's Adaptive Stochastic Approximation Method,

Abstract : Kestin proposed a method for adjusting the coefficients of a scalar stochastic approximation process, and proved w.p.1. convergence. A family of multidimensional processes for function minimization are treated here. Each method consists of a sequence of trucated one-dimensional procedures of the Kestin type. The methods seem to offer a number of advantages over the usual Kiefer-Wolfowitz procedures, and are more natural analogs of the schemes in common use in deterministic optimization theory. (Author)