Lifted Message Passing for the Generalized Belief Propagation

Udi Apsel

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arXiv · 1610.01525

Lifted Message Passing for the Generalized Belief Propagation

Udi Apsel

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Abstract

We introduce the lifted Generalized Belief Propagation (GBP) message passing algorithm, for the computation of sum-product queries in Probabilistic Relational Models (e.g. Markov logic network). The algorithm forms a compact region graph and establishes a modified version of message passing, which mimics the GBP behavior in a corresponding ground model. The compact graph is obtained by exploiting a graphical representation of clusters, which reduces cluster symmetry detection to isomorphism tests on small local graphs. The framework is thus capable of handling complex models, while remaining domain-size independent.

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Udi Apsel. 2016-10-05. Lifted Message Passing for the Generalized Belief Propagation. https://arxiv.org/abs/1610.01525

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