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math.CT2022
A graphical construction of free Markov categories
Yimu Yin
We describe how to perform surgeries on Joyal-Street style diagrams and thereby construct free Markov categories. We also show that the construction is functorial over ordered dire…
cs.AI2022
Markov categories, causal theories, and the do-calculus
Yimu Yin, Jiji Zhang
We give a category-theoretic treatment of causal models that formalizes the syntax for causal reasoning over a directed acyclic graph (DAG) by associating a free Markov category wi…