4 papers
Arrow Contraction and Expansion in Tropical Diagrams
Rostislav Matveev, Jacobus W. Portegies
Arrow contraction applied to a tropical diagram of probability spaces is a modification of the diagram, replacing one of the morphisms by an isomorphims, while preserving other par…
Conditioning in tropical probability theory
Rostislav Matveev, Jacobus W. Portegies
We define a natural operation of conditioning of tropical diagrams of probability spaces and show that it is Lipschitz continuous with respect to the asymptotic entropy distance.
Tropical probability theory and an application to the entropic cone
Rostislav Matveev, Jacobus W. Portegies
In a series of articles, we have been developing a theory of tropical diagrams of probability spaces, expecting it to be useful for information optimization problems in information…
Tropical diagrams of probability spaces
Rostislav Matveev, Jacobus W. Portegies
After endowing the space of diagrams of probability spaces with an entropy distance, we study its large-scale geometry by identifying the asymptotic cone as a closed convex cone in…