Stochastic Approximation and Optimization of Random Systems

L. Ljung

ISBN 10: 3764327332 / ISBN 13: 9783764327330

Published by Birkhäuser Basel, 1992

About this Item

Druck auf Anfrage Neuware - Printed after ordering - The DMV seminar 'Stochastische Approximation und Optimierung zufalliger Systeme' was held at Blaubeuren, 28. 5. -4. 6. 1989. The goal was to give an approach to theory and application of stochas tic approximation in view of optimization problems, especially in engineering systems. These notes are based on the seminar lectures. They consist of three parts: I. Foundations of stochastic approximation (H. Walk); n. Applicational aspects of stochastic approximation (G. PHug); In. Applications to adaptation :ugorithms (L. Ljung). The prerequisites for reading this book are basic knowledge in probability, mathematical statistics, optimization. We would like to thank Prof. M. Barner and Prof. G. Fischer for the or ganization of the seminar. We also thank the participants for their cooperation and our assistants and secretaries for typing the manuscript. November 1991 L. Ljung, G. PHug, H. Walk Table of contents I Foundations of stochastic approximation (H. Walk)1 Almost sure convergence of stochastic approximation procedures 22 Recursive methods for linear problems 173 Stochastic optimization under stochastic constraints 224 A learning model; recursive density estimation 275 Invariance principles in stochastic approximation 306 On the theory of large deviations 43 References for Part I 45 11 Applicational aspects of stochastic approximation (G. PHug)7 Markovian stochastic optimization and stochastic approximation procedures 538 Asymptotic distributions 719 Stopping times 791O Applications of stochastic approximation methods 80 References for Part II 90 III Applications to adaptation algorithms (L.

Seller Inventory # 9783764327330

Bibliographic Details

• Title: Stochastic Approximation and Optimization of Random Systems
• Publisher: Birkhäuser Basel
• Publication Date: 1992
• Language: English
• ISBN 10: 3764327332
• ISBN 13: 9783764327330
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 244W x 170H x 8D millimeters 244 millimeters width by 170 millimeters height by 8 millimeters depth
• Weight: 236 grams

About this title

Synopsis

The DMV seminar "Stochastische Approximation und Optimierung zufalliger Systeme" was held at Blaubeuren, 28. 5. -4. 6. 1989. The goal was to give an approach to theory and application of stochas­ tic approximation in view of optimization problems, especially in engineering systems. These notes are based on the seminar lectures. They consist of three parts: I. Foundations of stochastic approximation (H. Walk); n. Applicational aspects of stochastic approximation (G. PHug); In. Applications to adaptation :ugorithms (L. Ljung). The prerequisites for reading this book are basic knowledge in probability, mathematical statistics, optimization. We would like to thank Prof. M. Barner and Prof. G. Fischer for the or­ ganization of the seminar. We also thank the participants for their cooperation and our assistants and secretaries for typing the manuscript. November 1991 L. Ljung, G. PHug, H. Walk Table of contents I Foundations of stochastic approximation (H. Walk) §1 Almost sure convergence of stochastic approximation procedures 2 §2 Recursive methods for linear problems 17 §3 Stochastic optimization under stochastic constraints 22 §4 A learning model; recursive density estimation 27 §5 Invariance principles in stochastic approximation 30 §6 On the theory of large deviations 43 References for Part I 45 11 Applicational aspects of stochastic approximation (G. PHug) §7 Markovian stochastic optimization and stochastic approximation procedures 53 §8 Asymptotic distributions 71 §9 Stopping times 79 §1O Applications of stochastic approximation methods 80 References for Part II 90 III Applications to adaptation algorithms (L.