Title
Conditional independence ideals with hidden variables
Abstract
We study a class of determinantal ideals that are related to conditional independence (CI) statements with hidden variables. Such CI statements correspond to determinantal conditions on a matrix whose entries are probabilities of events involving the observed random variables. We focus on an example that generalizes the CI ideals of the intersection axiom. In this example, the minimal primes are again determinantal ideals, which is not true in general.
Year
DOI
Venue
2020
10.1016/j.aam.2020.102029
Advances in Applied Mathematics
Keywords
DocType
Volume
13C40,13H10,13P10,05E40
Journal
117
ISSN
Citations 
PageRank 
0196-8858
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Oliver Clarke100.68
Fatemeh Mohammadi293.69
Johannes Rauh315216.63