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Stochastic Approximation: A Dynamical Systems Viewpoint

Posted By: AvaxGenius
Stochastic Approximation: A Dynamical Systems Viewpoint

Stochastic Approximation: A Dynamical Systems Viewpoint by Vivek S. Borkar
English | PDF EPUB (True) | 2024 | 280 Pages | ISBN : 9819982766 | 28.7 MB

This book serves as an advanced text for a graduate course on stochastic algorithms for the students of probability and statistics, engineering, economics and machine learning. This second edition gives a comprehensive treatment of stochastic approximation algorithms based on the ordinary differential equation (ODE) approach which analyses the algorithm in terms of a limiting ODE. It has a streamlined treatment of the classical convergence analysis and includes several recent developments such as concentration bounds, avoidance of traps, stability tests, distributed and asynchronous schemes, multiple time scales, general noise models, etc., and a category-wise exposition of many important applications. It is also a useful reference for researchers and practitioners in the field.

Stochastic Approximation and Recursive Algorithms and Applications (Repost)

Posted By: AvaxGenius
Stochastic Approximation and Recursive Algorithms and Applications (Repost)

Stochastic Approximation and Recursive Algorithms and Applications by Harold J. Kushner
English | PDF | 2003 | 485 Pages | ISBN : 0387008942 | 4.6 MB

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.