English

Optimal Junction Trees

Artificial Intelligence 2013-02-28 v1

Abstract

The paper deals with optimality issues in connection with updating beliefs in networks. We address two processes: triangulation and construction of junction trees. In the first part, we give a simple algorithm for constructing an optimal junction tree from a triangulated network. In the second part, we argue that any exact method based on local calculations must either be less efficient than the junction tree method, or it has an optimality problem equivalent to that of triangulation.

Keywords

Cite

@article{arxiv.1302.6823,
  title  = {Optimal Junction Trees},
  author = {Finn Verner Jensen and Frank Jensen},
  journal= {arXiv preprint arXiv:1302.6823},
  year   = {2013}
}

Comments

Appears in Proceedings of the Tenth Conference on Uncertainty in Artificial Intelligence (UAI1994)

R2 v1 2026-06-21T23:33:38.674Z