Explanation-Based Approximate Weighted Model Counting for Probabilistic Logics

Abstract

Probabilistic inference can be realized using weighted model counting. Despite a lot of progress, computing weighted model counts exactly is still infeasible for many problems of interest, and one typically has to resort to approximation methods. We contribute a new bounded approximation method for weighted model counting based on probabilistic logic programming principles. Our bounded approximation algorithm is an anytime algorithm that provides lower and upper bounds on the weighted model count. An empirical evaluation on probabilistic logic programs shows that our approach is effective in many cases that are currently beyond the reach of exact methods.

Cite

Text

Renkens et al. "Explanation-Based Approximate Weighted Model Counting for Probabilistic Logics." AAAI Conference on Artificial Intelligence, 2014. doi:10.1609/AAAI.V28I1.9067

Markdown

[Renkens et al. "Explanation-Based Approximate Weighted Model Counting for Probabilistic Logics." AAAI Conference on Artificial Intelligence, 2014.](https://mlanthology.org/aaai/2014/renkens2014aaai-explanation/) doi:10.1609/AAAI.V28I1.9067

BibTeX

@inproceedings{renkens2014aaai-explanation,
  title     = {{Explanation-Based Approximate Weighted Model Counting for Probabilistic Logics}},
  author    = {Renkens, Joris and Kimmig, Angelika and Van den Broeck, Guy and De Raedt, Luc},
  booktitle = {AAAI Conference on Artificial Intelligence},
  year      = {2014},
  pages     = {2490-2496},
  doi       = {10.1609/AAAI.V28I1.9067},
  url       = {https://mlanthology.org/aaai/2014/renkens2014aaai-explanation/}
}