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Inference Networks for Sequential Monte Carlo in Graphical Models

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We introduce a new approach for amortizing inference in directed graphical models by learning heuristic approximations to stochastic inverses, designed specifically for use as proposal distributions in sequential Monte Carlo methods. We describe a procedure for constructing and learning a structured neural network which represents an inverse factorization of the graphical model, resulting in a conditional density estimator that takes as input particular values of the observed random variables, and returns an approximation to the distribution of the latent variables. This recognition model can be learned offline, independent from any particular dataset, prior to performing inference. The output of these networks can be used as automatically-learned high-quality proposal distributions to accelerate sequential Monte Carlo across a diverse range of problem settings.

Brooks Paige, Frank Wood• 2016

Related benchmarks

TaskDatasetResultRank
State estimationLorenz-96 arctan observation operator
RMSE0.524
48
State estimationLorenz-96 quadratic capped observation operator (test)
RMSE0.962
48
FilteringKuramoto-Sivashinsky L=16π, arctan
RMSE1.48
8
FilteringKuramoto-Sivashinsky L=16π, min(z^4, 10)
RMSE1.84
8
FilteringKuramoto-Sivashinsky L=32π arctan
RMSE1.52
8
FilteringKuramoto-Sivashinsky L=32π, min(z^4, 10)
RMSE1.77
8
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