Discrete stochastic approximation via simultaneous difference approximations
Stacy D. Hill, L. Gerencsér, Zs.G. Vágó
Abstract
Stacy D. Hill, L. Gerencsér, Zs.G. Vágó
Abstract
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 discrete set of points. We discuss the algorithm and examine its convergence and also the rate of convergence.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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 discrete set of points. We discuss the algorithm and examine its convergence and also the rate of convergence.
Key concepts: Simultaneous perturbation stochastic approximation, Stochastic approximation, Stochastic optimization, Approximation algorithm, Rate of convergence, Convergence (economics), Applied mathematics, Mathematical optimization