- Volume 21, Number 3 (2015), 1467-1493.
Standard imsets for undirected and chain graphical models
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.
Bernoulli, Volume 21, Number 3 (2015), 1467-1493.
Received: February 2011
Revised: January 2014
First available in Project Euclid: 27 May 2015
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Kashimura, Takuya; Takemura, Akimichi. Standard imsets for undirected and chain graphical models. Bernoulli 21 (2015), no. 3, 1467--1493. doi:10.3150/14-BEJ611. https://projecteuclid.org/euclid.bj/1432732027