54 citations · 157 across the 26 of their papers we have counts for
4 papers · 1 filter
On a 2-relative entropy
James Fullwood
We construct a 2-categorical extension of the relative entropy functor of Baez and Fritz, and show that our construction is functorial with respect to vertical morphisms. Moreover,…
An axiomatic characterization of mutual information
James Fullwood
We characterize mutual information as the unique map on ordered pairs of random variables satisfying a set of axioms similar to those of Faddeev's characterization of the Shannon e…
The information loss of a stochastic map
James Fullwood, Arthur J. Parzygnat
We provide a stochastic extension of the Baez-Fritz-Leinster characterization of the Shannon information loss associated with a measure-preserving function. This recovers the condi…
On analytic groupoid cardinality
James Fullwood
Groupoids graded by the groupoid of bijections between finite sets admit generating functions which encode the groupoid cardinalities of their graded components. As suggested in th…