English

Topological Conditional Separation

Discrete Mathematics 2021-08-09 v1 General Topology

Abstract

Pearl's d-separation is a foundational notion to study conditional independence between random variables. We define the topological conditional separation and we show that it is equivalent to the d-separation, extended beyond acyclic graphs, be they finite or infinite.

Cite

@article{arxiv.2108.03096,
  title  = {Topological Conditional Separation},
  author = {Michel de Lara and Jean-Philippe Chancelier and Benjamin Heymann},
  journal= {arXiv preprint arXiv:2108.03096},
  year   = {2021}
}
R2 v1 2026-06-24T04:53:27.922Z