Discrete stochastic approximations of the Mumford–Shah functional

the effect of functional/notional approach on the proficiency level of efl learners and its evaluation through functional test

in fact, this study focused on the following questions: 1. is there any difference between the effect of functional/notional approach and the structural approaches to language teaching on the proficiency test of efl learners? 2. can a rather innovative language test referred to as "functional test" ge devised so so to measure the proficiency test of efl learners, and thus be as much reliable an...

DISCRETE-TIME APPROXIMATIONS OF STOCHASTIC DELAY EQUATIONS: THE MILSTEIN SCHEMEy

Learning Algorithms for Separable Approximations of Discrete Stochastic Optimization Problems

We propose the use of sequences of separable, piecewise linear approximations for solving nondifferentiable stochastic optimization problems. The approximations are constructed adaptively using a combination of stochastic subgradient information and possibly sample information on the objective function itself. We prove the convergence of several versions of such methods when the objective funct...

Stochastic Approximation on Discrete Sets Using Simultaneous Perturbation Difference Approximations

A stochastic approximation method for optimizing a class of discrete functions is considered. The procedure is a version of the Simultaneous Perturbation Stochastic Approximation (SPSA) method that has been modified to obtain a stochastic optimization method for cost functions defined on a grid of points in Euclidean p-space having integer components. We discuss the algorithm and examine its co...

One-Step Approximations For Stochastic Functional Differential Equations

We consider the problem of strong approximations of the solution of Itô stochastic functional differential equations (SFDEs). We develop a general framework for the convergence of drift-implicit one-step schemes to the solution of SFDEs. We provide examples to illustrate the applicability of the framework.