The d-Separation Criterion in Categorical Probability
Updated: 2023-01-31 16:29:40
Home Page Papers Submissions News Editorial Board Special Issues Open Source Software Proceedings PMLR Transactions TMLR Search Statistics Login Frequently Asked Questions Contact Us The d-Separation Criterion in Categorical Probability Tobias Fritz , Andreas Klingler 24(46 1 49, 2023. Abstract The d-separation criterion detects the compatibility of a joint probability distribution with a directed acyclic graph through certain conditional independences . In this work , we study this problem in the context of categorical probability theory by introducing a categorical definition of causal models , a categorical notion of d-separation , and proving an abstract version of the d-separation criterion . This approach has two main benefits . First , categorical d-separation is a very intuitive