24 citations · 55 across the 15 of their papers we have counts for
4 papers · 1 filter
Reverse derivative categories
Robin Cockett, Geoffrey Cruttwell, Jonathan Gallagher +4
The reverse derivative is a fundamental operation in machine learning and automatic differentiation. This paper gives a direct axiomatization of a category with a reverse derivativ…
A Double Categorical View on Representations of Etendues
Darien DeWolf, Dorette Pronk
In this paper we introduce a description of ordered groupoids as a particular type of double categories. This enables us to turn Lawson's correspondence between ordered groupoids a…
The Equivariant Fundamental Groupoid as an Orbifold Invariant
Dorette Pronk, Laura Scull
We construct a 2-category version of tom Dieck's equivariant fundamental groupoid for representable orbifolds and show that the discrete fundamental groupoid is Morita invariant; h…
Bicategories of fractions revisited: towards small homs and canonical 2-cells
Dorette Pronk, Laura Scull
This paper adresses two issues in dealing with bicategories of fractions. The first is to introduce a set of conditions on a class of arrows in a bicategory which is weaker than th…