Abstract #300670

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JSM 2003 Abstract #300670
Activity Number: 419
Type: Contributed
Date/Time: Wednesday, August 6, 2003 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Computing
Abstract - #300670
Title: Trust Regions and Ridge Analysis
Author(s): Michael W. Trosset*+
Companies: College of William & Mary
Address: Dept. of Mathematics, Williamsburg, VA, 23187-8795,
Keywords: stochastic optimization ; response surface methodology ; quasi-Newton methods
Abstract:

Quasi-Newton methods for numerical optimization exploit quadratic Taylor polynomial models of the objective function. Trust regions are widely used to ensure the global convergence of these methods. Analogously, response surface methods for stochastic optimization exploit linear and quadratic regression models of the objective function. Ridge analysis is widely used to safeguard the optimization of the final quadratic model. I will describe an intimate connection between trust region methods and ridge analysis, then exploit this connection to propose a new, quasi-Newton approach to stochastic optimization.


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