Exact Bayesian Inference for Loopy Probabilistic Programs using Generating Functions
Lutz Klinkenberg,
Christian Blumenthal,
Mingshuai Chen
et al.
Abstract:We present an exact Bayesian inference method for inferring posterior distributions encoded by probabilistic programs featuring possibly
unbounded loops
. Our method is built on a denotational semantics represented by
probability generating functions
, which resolves semantic intricacies induced by intertwining discrete probabilistic loops with
conditioning
(for encoding posterior observations). We implement our method in a tool called Pro… Show more
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