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Title:

Toric Ideals of Characteristic Imsets via Quasi-Independence Gluing

Document type:
Zeitschriftenaufsatz
Author(s):
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 Decimal Classification:
510 Mathematik
Journal title:
Preprint
Year:
2022
Fulltext / DOI:
doi:10.48550/ARXIV.2209.01834
Publisher:
arXiv
Submitted:
05.09.2022
Semester:
SS 22
TUM Institution:
Lehrstuhl für Mathematische Statistik
Format:
Text
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