An algebraic approach to conditional independece via toric ideals

In this talk I will give a brief introduction to the study of conditional indepedence (CI) and context-specific conditional (CSI) independece through the use of commutative algebra. I will explain how algebra is useful to better understand the set of all CI and CSI statements that are implied by a set of such statements. The case when the ideals that arise are toric is combinatorially and algebraically very appealing. I will then present results concerning the toric ideals of certain context-specific independence models. This is joint work with Yulia Alexander and Julian Vill. arXiv:2210.11521

-------------------------------------------------------

There will be coffee and cake after the seminar in the common room