Factorization of Discrete Probability Distributions

Dan Geiger, Christopher Meek, Bernd Sturmfels · arXiv (Cornell University) · 2012

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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