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In EM and related algorithms, E-step computations distribute easily, because data items are independent given parameters. For very large data sets, however, even storing all of the parameters in a single node for the M-step can be impractical. We present a framework that fully distributes the entire EM procedure. Each node interacts only with parameters relevant to its data, sending messages to other nodes along a junction-tree topology. We demonstrate improvements over a MapReduce topology, on two tasks: word alignment and topic modeling.

Fully distributed EM for very large datasets