DOIONLINE

DOIONLINE NO - IJMAS-IRAJ-DOIONLINE-12751

Publish In
International Journal of Management and Applied Science (IJMAS)-IJMAS
Journal Home
Volume Issue
Issue
Volume-4,Issue-6  ( Jun, 2018 )
Paper Title
Effects of Covariance and Acquisition Functions on Bayesian Optimization using a Gaussian Process
Author Name
Jun-Seong Kim, Taek-Ho Lee, Chi-Hyuck Jun
Affilition
Department of Industrial & Management Engineering, Pohang University of Science & Technology Pohang 37673, S. Korea
Pages
14-18
Abstract
Covariance and acquisition functions play important roles in Bayesian optimization using a Gaussian process. However, there have been few studies on the effects of these functions on the performance of Bayesian optimization. In this paper, we propose a modified sampling procedure for function evaluation and optimization by considering a new termination condition. Then, we perform numerical experiments using three a synthetic two-dimensional function for analyzing the effects of various combinations of covariance and acquisition functions on the performance of Bayesian optimization. We found that the modified expected improvement acquisition function combined with the Matern covariance function generally works well in terms of computational time and accuracy. Keywords - Acquisition function, Bayesian optimization, covariance function, Gaussian process
  View Paper