# Exponential Stochastic Cellular Automata for Massively Parallel Inference

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Manzil Zaheer,
Michael Wick,
Jean-Baptiste Tristan,
Alex Smola,
Guy Steele
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Proceedings of the 19th International Conference on Artificial Intelligence and Statistics, PMLR 51:966-975, 2016.

#### Abstract

We propose an embarrassingly parallel, memory efficient inference algorithm for latent variable models in which the complete data likelihood is in the exponential family. The algorithm is a stochastic cellular automaton and converges to a valid maximum a posteriori fixed point. Applied to latent Dirichlet allocation we find that our algorithm is over an order or magnitude faster than the fastest current approaches. A simple C++/MPI implementation on a 20-node Amazon EC2 cluster samples at more than 1 billion tokens per second. We process 3 billion documents and achieve predictive power competitive with collapsed Gibbs sampling and variational inference.

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