293 citations · 737 across the 36 of their papers we have counts for
39 papers
Continuity and Additivity Properties of Information Decompositions
Johannes Rauh, Pradeep Kr. Banerjee, Eckehard Olbrich +2
Information decompositions quantify how the Shannon information about a given random variable is distributed among several other random variables. Various requirements have been pr…
Maximizing the Bregman divergence from a Bregman family
Johannes Rauh, František Matúš
The problem to maximize the information divergence from an exponential family is generalized to the setting of Bregman divergences and suitably defined Bregman families.
Properties of Unique Information
Johannes Rauh, Maik Schünemann, Jürgen Jost
We study the measure of unique information defined by Bertschinger et al. (2014) within the framework of information decompositions. We study uniqueness and su…
Unique Information and Secret Key Decompositions
Johannes Rauh, Pradeep Kr. Banerjee, Eckehard Olbrich +1
The unique information () is an information measure that quantifies a deviation from the Blackwell order. We have recently shown that this quantity is an upper bound on the one…
Conditional independence ideals with hidden variables
Oliver Clarke, Fatemeh Mohammadi, Johannes Rauh
We study a class of determinantal ideals that are related to conditional independence (CI) statements with hidden variables. Such CI statements correspond to determinantal conditio…
Cores, shell indices and the degeneracy of a graph limit
Johannes Rauh
The -core of a graph is the maximal subgraph in which every node has degree at least~, the shell index of a node is the largest such that the -core contains the node,…