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Science/Engineering Stochastic Approximation and Recursive Algorithms and Applications (Stochastic Modelling and Applied Probability)

Posted on 2010-03-16




Name:Science/Engineering Stochastic Approximation and Recursive Algorithms and Applications (Stochastic Modelling and Applied Probability)
ASIN/ISBN:0387008942
Language:English
File size:2.65 Mb
Publish Date: July 17, 2003
ISBN: 0387008942
Pages: 474 pages
File Type: PDF
File Size: 2.65 mb
Other Info: Springer
   Science/Engineering Stochastic Approximation and Recursive Algorithms and Applications (Stochastic Modelling and Applied Probability)



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Stochastic Approximation and Recursive Algorithms and Applications (Stochastic Modelling and Applied Probability)

The book presents a thorough development of the modern theory of stochastic approximation or recursive stochastic algorithms for both constrained and unconstrained problems. There is a complete development of both probability one and weak convergence methods for very general noise processes. The proofs of convergence use the ODE method, the most powerful to date, with which the asymptotic behavior is characterized by the limit behavior of a mean ODE. The assumptions and proof methods are designed to cover the needs of recent applications. The development proceeds from simple to complex problems, allowing the underlying ideas to be more easily understood. Rate of convergence, iterate averaging, high-dimensional problems, stability-ODE methods, two time scale, asynchronous and decentralized algorithms, general correlated and state-dependent noise, perturbed test function methods, and large devitations methods, are covered. Many motivational examples from learning theory, ergodic cost problems for discrete event systems, wireless communications, adaptive control, signal processing, and elsewhere, illustrate the application of the theory.

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