Timezone: »

Using Large Ensembles of Control Variates for Variational Inference
Tomas Geffner · Justin Domke

Thu Dec 06 07:45 AM -- 09:45 AM (PST) @ Room 210 #40

Variational inference is increasingly being addressed with stochastic optimization. In this setting, the gradient's variance plays a crucial role in the optimization procedure, since high variance gradients lead to poor convergence. A popular approach used to reduce gradient's variance involves the use of control variates. Despite the good results obtained, control variates developed for variational inference are typically looked at in isolation. In this paper we clarify the large number of control variates that are available by giving a systematic view of how they are derived. We also present a Bayesian risk minimization framework in which the quality of a procedure for combining control variates is quantified by its effect on optimization convergence rates, which leads to a very simple combination rule. Results show that combining a large number of control variates this way significantly improves the convergence of inference over using the typical gradient estimators or a reduced number of control variates.

Author Information

Tomas Geffner (University of Massachusetts, Amherst)
Justin Domke (University of Massachusetts, Amherst)

More from the Same Authors