66 citations · 295 across the 23 of their papers we have counts for
4 papers · 1 filter
Backprop as Functor: A compositional perspective on supervised learning
Brendan Fong, David I. Spivak, Rémy Tuyéras
A supervised learning algorithm searches over a set of functions parametrised by a space to find the best approximation to some ideal function . It d…
Universal Constructions for (Co)Relations: categories, monoidal categories, and props
Brendan Fong, Fabio Zanasi
Calculi of string diagrams are increasingly used to present the syntax and algebraic structure of various families of circuits, including signal flow graphs, electrical circuits an…
Decorated Corelations
Brendan Fong
Let be a category with finite colimits, and let be a factorisation system on with stable under pushouts. Writing $\…
A Universal Construction for (Co)Relations
Brendan Fong, Fabio Zanasi
Calculi of string diagrams are increasingly used to present the syntax and algebraic structure of various families of circuits, including signal flow graphs, electrical circuits an…