Standard imsets for undirected and chain graphical models
Statistics Theory
2015-07-28 v4 Statistics Theory
Abstract
We derive standard imsets for undirected graphical models and chain graphical models. Standard imsets for undirected graphical models are described in terms of minimal triangulations for maximal prime subgraphs of the undirected graphs. For describing standard imsets for chain graphical models, we first define a triangulation of a chain graph. We then use the triangulation to generalize our results for the undirected graphs to chain graphs.
Keywords
Cite
@article{arxiv.1102.2927,
title = {Standard imsets for undirected and chain graphical models},
author = {Takuya Kashimura and Akimichi Takemura},
journal= {arXiv preprint arXiv:1102.2927},
year = {2015}
}
Comments
Published at http://dx.doi.org/10.3150/14-BEJ611 in the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)