Dependency diagrams are an extension of standard graphical model notation. Dependency diagrams add to factor graphs the power to represent indexing, gating, and hard constraints. This new formalism makes the modeling of systems with unknown or variable structures explicit and straightforward. The dependency diagram framework also enables the automatic translation of diagrams that represent models into diagrams that represent Markov chain Monte Carlo sampling and inference algorithms, and the subsequent autogeneration of runnable code.

Source code implementing the dependency diagram framework within Mathematica, along with files specifying a number of simple models, is available here.