Standard imsets for undirected and chain graphical models

Takuya Kashimura; Akimichi Takemura

doi:10.3150/14-BEJ611

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Home > Journals > Bernoulli > Volume 21 > Issue 3 > Article

August 2015 Standard imsets for undirected and chain graphical models

Takuya Kashimura, Akimichi Takemura

Bernoulli 21(3): 1467-1493 (August 2015). DOI: 10.3150/14-BEJ611

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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.

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Takuya Kashimura. Akimichi Takemura. "Standard imsets for undirected and chain graphical models." Bernoulli 21 (3) 1467 - 1493, August 2015. https://doi.org/10.3150/14-BEJ611