MiS Preprint Repository
We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Selfadhesivity in Gaussian conditional independence structures
Tobias BoegeAbstract
Selfadhesivity is a property of entropic polymatroids which can be formulated as gluability conditions of the polymatroid to an identical copy of itself along arbitrary restrictions and such that the two pieces are independent given the common restriction.
We show that positive definite matrices satisfy this condition as well and examine consequences for Gaussian conditional independence structures. New axioms of Gaussian CI are obtained by applying selfadhesivity to the previously known axioms of structural semigraphoids and orientable gaussoids.
- Received:
- 17.05.22
- Published:
- 17.05.22
- MSC Codes:
- 62R01, 62B10, 15A29, 05B20
- Keywords:
- selfadhesivity, adhesive extension, positive definite matrix, Conditional Independence, structural semigraphoid, orientable gaussoid