Titlebook: Stochastic Approximation; A Dynamical Systems Vivek S. Borkar Book 2008 Hindustan Book Agency (India) 2008

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Applications, to give only a flavour of the immense potentialities of the basic scheme. In each case, only the general ideas are sketched. The details are relatively routine in many cases. In some cases where they are not, pointers to the relevant literature are provided.

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Overview: 978-93-86279-38-5

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Introduction, red balls at time .. We shall suppose that the conditional probability that the next, i.e., the (. + 1)st ball is red given the past up to time . is a function of . alone. Specifically, suppose that it is given by .(.) for a prescribed . : [0, 1] → [0, 1]. It is easy to describe {., . ≥ 1} recursiv

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Multiple Timescales,e. approach’ to the analysis of stochastic approximation, these are viewed as discrete nonuniform time steps. Thus one can conceive of the possibility of using different stepsize schedules for different components of the iteration, which will then induce different timescales into the algorithm. We s