A review of modern computational algorithms for Bayesian optimal design

Ryan, Elizabeth G., Drovandi, Christopher C., McGree, James M., & Pettitt, Anthony N. (2016) A review of modern computational algorithms for Bayesian optimal design. International Statistical Review, 84(1), pp. 128-154.

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Abstract

Bayesian experimental design is a fast growing area of research with many real-world applications. As computational power has increased over the years, so has the development of simulation-based design methods, which involve a number of algorithms, such as Markov chain Monte Carlo, sequential Monte Carlo and approximate Bayes methods, facilitating more complex design problems to be solved. The Bayesian framework provides a unified approach for incorporating prior information and/or uncertainties regarding the statistical model with a utility function which describes the experimental aims. In this paper, we provide a general overview on the concepts involved in Bayesian experimental design, and focus on describing some of the more commonly used Bayesian utility functions and methods for their estimation, as well as a number of algorithms that are used to search over the design space to find the Bayesian optimal design. We also discuss other computational strategies for further research in Bayesian optimal design.

Impact and interest:

3 citations in Scopus
3 citations in Web of Science®
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ID Code: 75000
Item Type: Journal Article
Refereed: Yes
Keywords: Bayesian optimal design, Decision theory, Utility function, Stochastic optimisation, Posterior distribution approximation
DOI: 10.1111/insr.12107
ISSN: 1751-5823
Divisions: Current > Research Centres > ARC Centre of Excellence for Mathematical & Statistical Frontiers (ACEMS)
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Funding:
Copyright Owner: Copyright 2014 The Authors. International Statistical Review Copyright 2015 International Statistical Institute
Deposited On: 12 Aug 2014 01:30
Last Modified: 22 Jun 2017 07:01

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