A structural Markov property for decomposable graph laws that allows control of clique intersections
Computation
2017-10-20 v2
Abstract
We present a new kind of structural Markov property for probabilistic laws on decomposable graphs, which allows the explicit control of interactions between cliques, so is capable of encoding some interesting structure. We prove the equivalence of this property to an exponential family assumption, and discuss identifiability, modelling, inferential and computational implications.
Cite
@article{arxiv.1705.00554,
title = {A structural Markov property for decomposable graph laws that allows control of clique intersections},
author = {Peter J Green and Alun Thomas},
journal= {arXiv preprint arXiv:1705.00554},
year = {2017}
}
Comments
10 pages, 3 figures; updated from V1 following journal review, new more explicit title and added section on inference