On Solution Sets of Information Inequalities

We investigate solution sets of a special kind of linear inequality systems. In particular, we derive characterizations of these sets in terms of minimal solution sets. The studied inequalities emerge as information inequalities in the context of Bayesian networks. This allows to deduce important properties of Bayesian networks, which is important within causal inference.

Supertropical Quadratic Forms II

31 pages

Supertropical Quadratic Forms II

31 pages

Quadratic and Symmetric Bilinear Forms on Modules with Unique Base Over a Semiring

27 pages