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arXiv · 1301.0568

Factorization of Discrete Probability Distributions

Dan Geiger·Christopher Meek·Bernd Sturmfels
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Abstract

We formulate necessary and sufficient conditions for an arbitrary discrete probability distribution to factor according to an undirected graphical model, or a log-linear model, or other more general exponential models. This result generalizes the well known Hammersley-Clifford Theorem.

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Dan Geiger, Christopher Meek, Bernd Sturmfels. 2012-12-12. Factorization of Discrete Probability Distributions. https://arxiv.org/abs/1301.0568

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