Relevant Path Separation: A Faster Method for Testing Independencies in Bayesian Networks

Abstract

\emphDirected separation (d-separation) played a fundamental role in the founding of \emphBayesian networks (BNs) and continues to be useful today in a wide range of applications. Given an independence to be tested, current implementations of d-separation explore the \emphactive part of a BN. On the other hand, an overlooked property of d-separation implies that d-separation need only consider the \emphrelevant part of a BN. We propose a new method for testing independencies in BNs, called \emphrelevant path separation (rp-separation), which explores the intersection between the active and relevant parts of a BN. Favourable experimental results are reported.

Cite

Text

Butz et al. "Relevant Path Separation: A Faster Method for Testing Independencies in Bayesian Networks." Proceedings of the Eighth International Conference on Probabilistic Graphical Models, 2016.

Markdown

[Butz et al. "Relevant Path Separation: A Faster Method for Testing Independencies in Bayesian Networks." Proceedings of the Eighth International Conference on Probabilistic Graphical Models, 2016.](https://mlanthology.org/pgm/2016/butz2016pgm-relevant/)

BibTeX

@inproceedings{butz2016pgm-relevant,
  title     = {{Relevant Path Separation: A Faster Method for Testing Independencies in Bayesian Networks}},
  author    = {Butz, Cory J. and dos Santos, André E. and Oliveira, Jhonatan S.},
  booktitle = {Proceedings of the Eighth International Conference on Probabilistic Graphical Models},
  year      = {2016},
  pages     = {74-85},
  volume    = {52},
  url       = {https://mlanthology.org/pgm/2016/butz2016pgm-relevant/}
}