Stochastic Approximation and Recursive Algorithms and Applications (Stochastic Modelling and Applied Probability, 35)

Kushner, Harold, Yin, G. George

ISBN 10: 1441918477 / ISBN 13: 9781441918475

Editore: Springer, 2010

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Dati bibliografici

• Titolo: Stochastic Approximation and Recursive Algorithms and Applications (Stochastic Modelling and Applied Probability, 35)
• Editore: Springer
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 1441918477
• ISBN 13: 9781441918475
• Rilegatura: Paperback
• Edizione: seconda edizione
• Condizione: Like New
• Tipo di libro: book

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Riassunto

The book presents a thorough development of the modern theory of stochastic approximation or recursive stochastic algorithms for both constrained and unconstrained problems. 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. Many examples illustrate the application of the theory. This second edition is a thorough revision, although the main features and the structure remain unchanged. It contains many additional applications and results, and more detailed discussion.

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This revised and expanded second edition 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. 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, state-dependent noise, stability methods for correlated noise, perturbed test function methods, and large deviations methods are covered. Many motivating examples from learning theory, ergodic cost problems for discrete event systems, wireless communications, adaptive control, signal processing, and elsewhere illustrate the applications of the theory.