293 citations · 737 across the 36 of their papers we have counts for
13 papers · 1 filter
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…
Computing the Unique Information
Pradeep Kr. Banerjee, Johannes Rauh, Guido Montúfar
Given a pair of predictor variables and a response variable, how much information do the predictors have about the response, and how is this information distributed between unique,…
Secret Sharing and Shared Information
Johannes Rauh
Secret sharing is a cryptographic discipline in which the goal is to distribute information about a secret over a set of participants in such a way that only specific authorized co…