Stochastic approximation algorithms and applications

書誌事項

Stochastic approximation algorithms and applications

Harold J. Kushner, G. George Yin

(Applications of mathematics, 35)

Springer, c1997

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注記

Includes bibliographical references (p. [393]-407) and indexes

内容説明・目次

内容説明

In recent years, algorithms of the stochastic approximation type have found applications in new and diverse areas and new techniques have been developed for proofs of convergence and rate of convergence. The actual and potential applications in signal processing have exploded. New challenges have arisen in applications to adaptive control. This book presents a thorough coverage of the ODE method used to analyze these algorithms.

目次

  • Applications and issues
  • application to learning, state dependent noise and queueing
  • applications to signal processing and adaptive control
  • mathematical background
  • convergence with probability one - Martingale difference noise
  • convergence with probability one - correlated noise
  • weak convergence - introduction
  • weak convergence methods for general algorithms
  • applications - proofs of convergence
  • rate of convergence
  • averaging of the iterates
  • distributed/decentralized and asynchronous algorithms.

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詳細情報

  • NII書誌ID(NCID)
    BA31588330
  • ISBN
    • 038794916X
  • LCCN
    96048847
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York
  • ページ数/冊数
    xxi, 417 p.
  • 大きさ
    25 cm
  • 分類
  • 件名
  • 親書誌ID
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