Bayesian Inference by Symbolic Model Checking

Bahare Salmani; Joost-Pieter Katoen

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arXiv · 2007.15071

Bayesian Inference by Symbolic Model Checking

Bahare Salmani·Joost-Pieter Katoen

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Abstract

This paper applies probabilistic model checking techniques for discrete Markov chains to inference in Bayesian networks. We present a simple translation from Bayesian networks into tree-like Markov chains such that inference can be reduced to computing reachability probabilities. Using a prototypical implementation on top of the Storm model checker, we show that symbolic data structures such as multi-terminal BDDs (MTBDDs) are very effective to perform inference on large Bayesian network benchmarks. We compare our result to inference using probabilistic sentential decision diagrams and vtrees, a scalable symbolic technique in AI inference tools.

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Bahare Salmani, Joost-Pieter Katoen. 2020-07-29. Bayesian Inference by Symbolic Model Checking. https://arxiv.org/abs/2007.15071

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