LOW FLAT RATE $9.90 AUST-WIDE DELIVERY

Close Notification

Your cart does not contain any items

Gradient-Based Algorithms for Zeroth-Order Optimization

Prashanth L. A. Shalabh Bhatnagar

$161.95   $129.89

Paperback

Not in-store but you can order this
How long will it take?

QTY:

English
now publishers Inc
14 May 2025
This monograph deals with methods for stochastic or data-driven optimization. The overall goal of these methods is to minimize a certain parameter-dependent objective function that for any parameter value is an expectation of a noisy sample performance objective whose measurement can be made from a real system or a simulation device depending on the setting used. A class of model-free approaches based on stochastic approximation is presented which involve random search procedures to efficiently make use of the noisy observations. The idea here is to simply estimate the minima of the expected objective via an incremental-update or recursive procedure and not to estimate the whole objective function itself. Both asymptotic as well as finite sample analyses of the procedures used for convex as well as non-convex objectives are presented.

The monograph also includes algorithms that either estimate the gradient in gradient-based schemes or estimate both the gradient and the Hessian in Newton-type procedures using random direction approaches involving noisy function measurements. Hence the class of approaches studied fall under the broad category of zeroth order optimization methods. Both asymptotic convergence guarantees in the general setup as well as asymptotic normality results for various algorithms are presented, and also provided is an introduction to stochastic recursive inclusions and their asymptotic convergence analysis. This is necessitated because many of these settings involve set-valued maps for any given parameter. Finally, several interesting applications of these methods in the domain of reinforcement learning are included, and the appendices at the end quickly summarize the basic material for this text.
By:   ,
Imprint:   now publishers Inc
Country of Publication:   United States
Dimensions:   Height: 182mm,  Width: 156mm, 
Weight:   495g
ISBN:   9781638285441
ISBN 10:   1638285446
Series:   Foundations and Trends® in Artificial Intelligence
Pages:   348
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
Preface 1. Introduction 2. Stochastic Approximation 3. Gradient Estimation 4. Asymptotic Analysis of Stochastic Gradient Algorithms 5. Non-Asymptotic Analysis of Stochastic Gradient Algorithms 6. Hessian Estimation and a Stochastic Newton Algorithm 7. Escaping Saddle Points 8. Applications to Reinforcement Learning Appendices Index References

See Also