24 citations · 55 across the 15 of their papers we have counts for
13 papers · 1 filter
Pseudolimits for Tangent Categories with Applications to Equivariant Algebraic and Differential Geometry
Dorette Pronk, Geoff Vooys
In this paper we show that if is a category and if is a pseudofunctor such that for each object of $\m…
Double Fibrations
Geoffrey Cruttwell, Michael Lambert, Dorette Pronk +1
This paper defines double fibrations (fibrations of double categories) and describes their key examples and properties. In particular, it shows how double fibrations relate to exis…
Monoidal Reverse Differential Categories
Geoffrey Cruttwell, Jonathan Gallagher, Jean-Simon Pacaud Lemay +1
Cartesian reverse differential categories (CRDCs) are a recently defined structure which categorically model the reverse differentiation operations used in supervised learning. Her…
Categorical semantics of a simple differential programming language
Geoffrey Cruttwell, Jonathan Gallagher, Dorette Pronk
With the increased interest in machine learning, and deep learning in particular, the use of automatic differentiation has become more wide-spread in computation. There have been t…
Latent Fibrations: Fibrations for Categories of Partial Maps
Robin Cockett, Geoff Cruttwell, Jonathan Gallagher +1
Latent fibrations are an adaptation, appropriate for categories of partial maps (as presented by restriction categories), of the usual notion of fibration. The paper initiates the…
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…