English

Lifted Message Passing for the Generalized Belief Propagation

Artificial Intelligence 2016-10-06 v1

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.

Keywords

Cite

@article{arxiv.1610.01525,
  title  = {Lifted Message Passing for the Generalized Belief Propagation},
  author = {Udi Apsel},
  journal= {arXiv preprint arXiv:1610.01525},
  year   = {2016}
}
R2 v1 2026-06-22T16:11:56.195Z