293 citations · 487 across the 20 of their papers we have counts for
5 papers · 1 filter
On extractable shared information
Johannes Rauh, Pradeep Kr. Banerjee, Eckehard Olbrich +2
We consider the problem of quantifying the information shared by a pair of random variables about another variable . We propose a new measure of shared information…
Reconsidering unique information: Towards a multivariate information decomposition
Johannes Rauh, Nils Bertschinger, Eckehard Olbrich +1
The information that two random variables , contain about a third random variable can have aspects of shared information (contained in both and ), of complementar…
The Blackwell relation defines no lattice
Nils Bertschinger, Johannes Rauh
Blackwell's theorem shows the equivalence of two preorders on the set of information channels. Here, we restate, and slightly generalize, his result in terms of random variables. F…
Quantifying unique information
Nils Bertschinger, Johannes Rauh, Eckehard Olbrich +2
We propose new measures of shared information, unique information and synergistic information that can be used to decompose the multi-information of a pair of random variables $(Y,…
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…