On the Convergence of Stochastic Variational Inference in Bayesian Networks

Ulrich Paquet

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arXiv · 1507.04505

On the Convergence of Stochastic Variational Inference in Bayesian Networks

Ulrich Paquet

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Abstract

We highlight a pitfall when applying stochastic variational inference to general Bayesian networks. For global random variables approximated by an exponential family distribution, natural gradient steps, commonly starting from a unit length step size, are averaged to convergence. This useful insight into the scaling of initial step sizes is lost when the approximation factorizes across a general Bayesian network, and care must be taken to ensure practical convergence. We experimentally investigate how much of the baby (well-scaled steps) is thrown out with the bath water (exact gradients).

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Ulrich Paquet. 2015-07-16. On the Convergence of Stochastic Variational Inference in Bayesian Networks. https://arxiv.org/abs/1507.04505

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