293 citations · 737 across the 36 of their papers we have counts for
4 papers · 1 filter
On the Number of Non-zero Elements of Joint Degree Vectors
Eva Czabarka, Johannes Rauh, Kayvan Sadeghi +2
Joint degree vectors give the number of edges between vertices of degree and degree for in an -vertex graph. We find lower and upper bounds for the…
Hierarchical Models as Marginals of Hierarchical Models
Guido Montufar, Johannes Rauh
We investigate the representation of hierarchical models in terms of marginals of other hierarchical models with smaller interactions. We focus on binary variables and marginals of…
Quantifying Morphological Computation based on an Information Decomposition of the Sensorimotor Loop
Keyan Ghazi-Zahedi, Johannes Rauh
The question how an agent is affected by its embodiment has attracted growing attention in recent years. A new field of artificial intelligence has emerged, which is based on the i…
Mode Poset Probability Polytopes
Guido Montufar, Johannes Rauh
A mode of a probability vector is a local maximum with respect to some vicinity structure on the set of elementary events. The mode inequalities cut out a polytope from the simplex…