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math.ST2024
Real birational implicitization for statistical models
Tobias Boege, Liam Solus
We derive an implicit description of the image of a semialgebraic set under a birational map, provided that the denominators of the map are positive on the set. For statistical mod…
math.CO2024★ 1 cited
Hyperplane Representations of Interventional Characteristic Imset Polytopes
Benjamin Hollering, Joseph Johnson, Liam Solus
Characteristic imsets are 0/1-vectors representing directed acyclic graphs whose edges represent direct cause-effect relations between jointly distributed random variables. A chara…