
Article
Bayesian Network Parameter Learning using EM with Parameter Sharing
BMAW'14 Proceedings of the Eleventh UAI Conference on Bayesian Modeling Applications Workshop
(2014)
Abstract
This paper explores the effects of parameter sharing on Bayesian network (BN) parameter learning when there is incomplete data. Using the Expectation Maximization (EM) algorithm, we investigate how varying degrees of parameter sharing, varying number of hidden nodes, and different dataset sizes impact EM performance. The specific metrics of EM performance examined are: likelihood, error, and the number of iterations required
for convergence. These metrics are important in a number of applications, and we emphasize learning of BNs for diagnosis of electrical power systems. One main point, which we investigate both analytically and empirically,
is how parameter sharing impacts the error associated with EM’s parameter estimates.
Keywords
- Bayesian Networks,
- Incomplete Data,
- Expectation Maximization,
- Parameter Sharing
Disciplines
Publication Date
Summer July 27, 2014
Citation Information
Erik Reed and Ole J Mengshoel. "Bayesian Network Parameter Learning using EM with Parameter Sharing" BMAW'14 Proceedings of the Eleventh UAI Conference on Bayesian Modeling Applications Workshop (2014) p. 48 - 59 Available at: http://works.bepress.com/ole_mengshoel/82/