A graphical construction of free Markov categories

04/11/2022
by   Yimu Yin, et al.
0

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 directed acyclic graphs.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
04/05/2022

Free gs-monoidal categories and free Markov categories

Categorical probability has recently seen significant advances through t...
research
01/26/2021

Wiring diagrams as normal forms for computing in symmetric monoidal categories

Applications of category theory often involve symmetric monoidal categor...
research
11/22/2019

Interventional Markov Equivalence for Mixed Graph Models

We study the problem of characterizing Markov equivalence of graphical m...
research
05/09/2022

A Probabilistic Generative Model of Free Categories

Applied category theory has recently developed libraries for computing w...
research
05/21/2019

Complete Positivity for Mixed Unitary Categories

In this article we generalize the ^∞-construction of dagger monoidal cat...
research
11/28/2019

Constraints in Gaussian Graphical Models

In this paper, we consider the problem of finding the constraints in bow...
research
04/30/2021

Graph Traversals as Universal Constructions

We exploit a decomposition of graph traversals to give a novel character...

Please sign up or login with your details

Forgot password? Click here to reset