293 citations · 737 across the 36 of their papers we have counts for
6 papers · 1 filter
Generalized Binomial Edge Ideals
Johannes Rauh
This paper studies a class of binomial ideals associated to graphs with finite vertex sets. They generalize the binomial edge ideals, and they arise in the study of conditional ind…
Robustness, Canalyzing Functions and Systems Design
Johannes Rauh, Nihat Ay
We study a notion of robustness of a Markov kernel that describes a system of several input random variables and one output random variable. Robustness requires that the behaviour…
Shared Information -- New Insights and Problems in Decomposing Information in Complex Systems
Nils Bertschinger, Johannes Rauh, Eckehard Olbrich +1
How can the information that a set of random variables contains about another random variable be decomposed? To what extent do different subgroups provide t…
Prime splittings of Determinantal Ideals
Fatemeh Mohammadi, Johannes Rauh
We consider determinantal ideals, where the generating minors are encoded in a hypergraph. We study when the generating minors form a Gröbner basis. In this case, the ideal is radi…
Scaling of Model Approximation Errors and Expected Entropy Distances
Guido F. Montufar, Johannes Rauh
We compute the expected value of the Kullback-Leibler divergence to various fundamental statistical models with respect to canonical priors on the probability simplex. We obtain cl…
Positive margins and primary decomposition
Thomas Kahle, Johannes Rauh, Seth Sullivant
We study random walks on contingency tables with fixed marginals, corresponding to a (log-linear) hierarchical model. If the set of allowed moves is not a Markov basis, then there…