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Titel:

Toric Ideals of Characteristic Imsets via Quasi-Independence Gluing

Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
Hollering, Benjamin; Johnson, Joseph; Portakal, Irem; Solus, Liam
Abstract:
Characteristic imsets are 0-1 vectors which correspond to Markov equivalence classes of directed acyclic graphs. The study of their convex hull, named the characteristic imset polytope, has led to new and interesting geometric perspectives on the important problem of causal discovery. In this paper we begin the study of the associated toric ideal. We develop a new generalization of the toric fiber product, which we call a quasi-independence gluing, and show that under certain combinatorial homog...     »
Dewey Dezimalklassifikation:
510 Mathematik
Zeitschriftentitel:
Preprint
Jahr:
2022
Volltext / DOI:
doi:10.48550/ARXIV.2209.01834
Verlag / Institution:
arXiv
Eingereicht (bei Zeitschrift):
05.09.2022
Semester:
SS 22
TUM Einrichtung:
Lehrstuhl für Mathematische Statistik
Format:
Text
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