On Sensitivity of the MAP Bayesian Network Structure to the Equivalent Sample Size Parameter
Abstract
BDeu marginal likelihood score is a popular model selection criterion for selecting a Bayesian network structure based on sample data. This non-informative scoring criterion assigns same score for network structures that encode same independence statements. However, before applying the BDeu score, one must determine a single parameter, the equivalent sample size α. Unfortunately no generally accepted rule for determining the α parameter has been suggested. This is disturbing, since in this paper we show through a series of concrete experiments that the solution of the network structure optimization problem is highly sensitive to the chosen α parameter value. Based on these results, we are able to give explanations for how and why this phenomenon happens, and discuss ideas for solving this problem.
Cite
Text
Silander et al. "On Sensitivity of the MAP Bayesian Network Structure to the Equivalent Sample Size Parameter." Conference on Uncertainty in Artificial Intelligence, 2007.Markdown
[Silander et al. "On Sensitivity of the MAP Bayesian Network Structure to the Equivalent Sample Size Parameter." Conference on Uncertainty in Artificial Intelligence, 2007.](https://mlanthology.org/uai/2007/silander2007uai-sensitivity/)BibTeX
@inproceedings{silander2007uai-sensitivity,
title = {{On Sensitivity of the MAP Bayesian Network Structure to the Equivalent Sample Size Parameter}},
author = {Silander, Tomi and Kontkanen, Petri and Myllymäki, Petri},
booktitle = {Conference on Uncertainty in Artificial Intelligence},
year = {2007},
pages = {360-367},
url = {https://mlanthology.org/uai/2007/silander2007uai-sensitivity/}
}