Lifting Factor Graphs with Some Unknown Factors

Malte Luttermann, Ralf Möller, Marcel Gehrke
6/3/2024
cs.AIcs.LG

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Abstract

Lifting exploits symmetries in probabilistic graphical models by using a representative for indistinguishable objects, allowing to carry out query answering more efficiently while maintaining exact answers. In this paper, we investigate how lifting enables us to perform probabilistic inference for factor graphs containing factors whose potentials are unknown. We introduce the Lifting Factor Graphs with Some Unknown Factors (LIFAGU) algorithm to identify symmetric subgraphs in a factor graph containing unknown factors, thereby enabling the transfer of known potentials to unknown potentials to ensure a well-defined semantics and allow for (lifted) probabilistic inference.

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Cite this paper

@article{luttermann2024lifting,
  title  = {Lifting Factor Graphs with Some Unknown Factors},
  author = {Malte Luttermann and Ralf Möller and Marcel Gehrke},
  year   = {2024},
  eprint = {2406.01275},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2406.01275v1}
}

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