Decision Sum-Product-Max Networks

Abstract

Sum-Product Networks (SPNs) were recently proposed as a new class of probabilistic graphical models that guarantee tractable inference, even on models with high-treewidth. In this paper, we propose a new extension to SPNs, called Decision Sum-Product-Max Networks (Decision-SPMNs), that makes SPNs suitable for discrete multi-stage decision problems. We present an algorithm that solves Decision-SPMNs in a time that is linear in the size of the network. We also present algorithms to learn the parameters of the network from data.

Cite

Text

Melibari et al. "Decision Sum-Product-Max Networks." AAAI Conference on Artificial Intelligence, 2016. doi:10.1609/AAAI.V30I1.9957

Markdown

[Melibari et al. "Decision Sum-Product-Max Networks." AAAI Conference on Artificial Intelligence, 2016.](https://mlanthology.org/aaai/2016/melibari2016aaai-decision/) doi:10.1609/AAAI.V30I1.9957

BibTeX

@inproceedings{melibari2016aaai-decision,
  title     = {{Decision Sum-Product-Max Networks}},
  author    = {Melibari, Mazen and Poupart, Pascal and Doshi, Prashant},
  booktitle = {AAAI Conference on Artificial Intelligence},
  year      = {2016},
  pages     = {4234-4235},
  doi       = {10.1609/AAAI.V30I1.9957},
  url       = {https://mlanthology.org/aaai/2016/melibari2016aaai-decision/}
}