Stochastic Approximation and Large Deviations: General Results for W.p.l. Convergence

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ISBN 13 :
Total Pages : 65 pages
Book Rating : 4.:/5 (22 download)

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Book Synopsis Stochastic Approximation and Large Deviations: General Results for W.p.l. Convergence by : Paul Gilbert Dupuis

Download or read book Stochastic Approximation and Large Deviations: General Results for W.p.l. Convergence written by Paul Gilbert Dupuis and published by . This book was released on 1987 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: W.p.l. convergence results are obtained for stochastic recursive approximation algorithms under very general conditions. The gain sequence (a sub n) can go to zero very slowly and state-dependent noise, discontinuous dynamical equations and the projected or constrained algorithm are all treated. The basic technique is the theory of large deviations. Prior results obtained via this theory are extended in many directions. Keywords: Local linearization; Errors for tracking systems.

Stochastic Approximation and Large Deviations

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ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Stochastic Approximation and Large Deviations by : P. Dupuis

Download or read book Stochastic Approximation and Large Deviations written by P. Dupuis and published by . This book was released on 1988 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Approximations Via Large Deviations: Asymptotic Properties

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ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Stochastic Approximations Via Large Deviations: Asymptotic Properties by : Paul Dupuis

Download or read book Stochastic Approximations Via Large Deviations: Asymptotic Properties written by Paul Dupuis and published by . This book was released on 1984 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic properties of Robbins-Munro and Kiefer-Wolfowitz type stochastic approximation algorithms are obtained via the theory of large deviations. The conditions are weak and can even yield w.p.l. convergence results. The probability of escape of the iterates from a neighborhood of a stable point of the algorithm is estimated and shown to be considerably smaller than suggested by the classical asymptotic normality of local normalized errors method of getting the asymptotic properties. The escape probabilities are a natural quantity of interest. In many applications, they are more useful than the local normalized mean square errors. Other large deviations estimates are also obtained. Keywords: Recursive algorithms.

Asymptotic Behavior of Stochastic Approximation and Large Deviations

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ISBN 13 :
Total Pages : 35 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Asymptotic Behavior of Stochastic Approximation and Large Deviations by : Harold J. Kushner

Download or read book Asymptotic Behavior of Stochastic Approximation and Large Deviations written by Harold J. Kushner and published by . This book was released on 1983 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of large deviations is applied to the study of the asymptotic properties of the stochastic approximation algorithms. The method provides a useful alternative to the currently used technique of obtaining rate of convergence results.

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 964 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1988 with total page 964 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

The Theory of Large Deviations for Random Processes and Strong Convergence of Stochastic Approximation Procedures

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ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (299 download)

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Book Synopsis The Theory of Large Deviations for Random Processes and Strong Convergence of Stochastic Approximation Procedures by : S. L. Leonov

Download or read book The Theory of Large Deviations for Random Processes and Strong Convergence of Stochastic Approximation Procedures written by S. L. Leonov and published by . This book was released on 1986 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On Stochastic Approximation

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ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis On Stochastic Approximation by : Aryeh Dvoretsky

Download or read book On Stochastic Approximation written by Aryeh Dvoretsky and published by . This book was released on 1955 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Approximation and Weak Convergence Methods for Random Processes, with Applications to Stochastic Systems Theory

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Publisher : MIT Press
ISBN 13 : 9780262110907
Total Pages : 296 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Approximation and Weak Convergence Methods for Random Processes, with Applications to Stochastic Systems Theory by : Harold Joseph Kushner

Download or read book Approximation and Weak Convergence Methods for Random Processes, with Applications to Stochastic Systems Theory written by Harold Joseph Kushner and published by MIT Press. This book was released on 1984 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control and communications engineers, physicists, and probability theorists, among others, will find this book unique. It contains a detailed development of approximation and limit theorems and methods for random processes and applies them to numerous problems of practical importance. In particular, it develops usable and broad conditions and techniques for showing that a sequence of processes converges to a Markov diffusion or jump process. This is useful when the natural physical model is quite complex, in which case a simpler approximation la diffusion process, for example) is usually made. The book simplifies and extends some important older methods and develops some powerful new ones applicable to a wide variety of limit and approximation problems. The theory of weak convergence of probability measures is introduced along with general and usable methods (for example, perturbed test function, martingale, and direct averaging) for proving tightness and weak convergence. Kushner's study begins with a systematic development of the method. It then treats dynamical system models that have state-dependent noise or nonsmooth dynamics. Perturbed Liapunov function methods are developed for stability studies of nonMarkovian problems and for the study of asymptotic distributions of non-Markovian systems. Three chapters are devoted to applications in control and communication theory (for example, phase-locked loops and adoptive filters). Smallnoise problems and an introduction to the theory of large deviations and applications conclude the book. Harold J. Kushner is Professor of Applied Mathematics and Engineering at Brown University and is one of the leading researchers in the area of stochastic processes concerned with analysis and synthesis in control and communications theory. This book is the sixth in The MIT Press Series in Signal Processing, Optimization, and Control, edited by Alan S. Willsky.

Stochastic Approximation

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Publisher : Cambridge University Press
ISBN 13 : 9780521604857
Total Pages : 220 pages
Book Rating : 4.6/5 (48 download)

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Book Synopsis Stochastic Approximation by : M. T. Wasan

Download or read book Stochastic Approximation written by M. T. Wasan and published by Cambridge University Press. This book was released on 2004-06-03 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous mathematical treatment of the technique for studying the properties of an experimental situation.

Government Reports Annual Index

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ISBN 13 :
Total Pages : 1100 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Government Reports Annual Index by :

Download or read book Government Reports Annual Index written by and published by . This book was released on 1988 with total page 1100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

General Convergence Results for Stochastic Approximations Via Weak Convergence Theory

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ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis General Convergence Results for Stochastic Approximations Via Weak Convergence Theory by : Harold J. Kushner

Download or read book General Convergence Results for Stochastic Approximations Via Weak Convergence Theory written by Harold J. Kushner and published by . This book was released on 1976 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using results in the theory of weak convergence of measures and in stability theory for ordinary differential equations, we prove some general convergence theorems for the sequences of random variables which are generated by algorithms of the stochastic approximation type. Such algorithms are used when one wishes to locate, via a recursive Monte-Carlo method, a minimum of a function, under handicap of noisy data. Algorithms for both constrained and unconstrained optimization problems will be considered, and for rather general noise processes. (Author).

Government Reports Annual Index: Keyword A-L

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ISBN 13 :
Total Pages : 1016 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Government Reports Annual Index: Keyword A-L by :

Download or read book Government Reports Annual Index: Keyword A-L written by and published by . This book was released on 1988 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Approximation and Optimization of Random Systems

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Publisher : Birkhauser
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Stochastic Approximation and Optimization of Random Systems by : Lennart Ljung

Download or read book Stochastic Approximation and Optimization of Random Systems written by Lennart Ljung and published by Birkhauser. This book was released on 1992 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Behavior of Stochastic Approximation and Large Deviations /by Harold J. Kushner

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Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (226 download)

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Book Synopsis Asymptotic Behavior of Stochastic Approximation and Large Deviations /by Harold J. Kushner by : Harold Joseph Kushner

Download or read book Asymptotic Behavior of Stochastic Approximation and Large Deviations /by Harold J. Kushner written by Harold Joseph Kushner and published by . This book was released on 1983 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Government Reports Announcements & Index

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ISBN 13 :
Total Pages : 1012 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Government Reports Announcements & Index by :

Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1988 with total page 1012 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Weak Convergence Approach to the Theory of Large Deviations

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Publisher :
ISBN 13 :
Total Pages : 285 pages
Book Rating : 4.:/5 (289 download)

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Book Synopsis A Weak Convergence Approach to the Theory of Large Deviations by : Paul Dupuis

Download or read book A Weak Convergence Approach to the Theory of Large Deviations written by Paul Dupuis and published by . This book was released on 1993 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Large Deviations Analysis of Reflected Diffusions and Constrained Stochastic Approximation Algorithms in Convex Sets

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ISBN 13 :
Total Pages : 29 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Large Deviations Analysis of Reflected Diffusions and Constrained Stochastic Approximation Algorithms in Convex Sets by : University of Minnesota. Institute for Mathematics and Its Applications

Download or read book Large Deviations Analysis of Reflected Diffusions and Constrained Stochastic Approximation Algorithms in Convex Sets written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1986 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: