RBNN - Local Localsurrogates Forexample,

Info icon This preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Local surrogates Modeling a wavy function with monomials is inherently ill conditioned. When we have a lot of data and we use interpolation to predict function values in between we normally use only values nearby. For example, if we write down the price of gasoline every first of the month from 2000 through 2009, how many values would you use to estimate the price on June 15, 2007?
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Analogy to structural analysis When we want to get the solution of structural response with small number of equations, we use Rayleigh Ritz procedure with global basis functions. When we can afford thousands of equations, we use finite elements with local basis functions. Local surrogates use basis functions that have substantial values only over a small fraction of design domain.
Image of page 2