2 papers
cs.LG2024
Deep Learning with Parametric Lenses
Geoffrey S. H. Cruttwell, Bruno Gavranovic, Neil Ghani +2
We propose a categorical semantics for machine learning algorithms in terms of lenses, parametric maps, and reverse derivative categories. This foundation provides a powerful expla…
math.CT2023
Reverse Tangent Categories
Geoffrey Cruttwell, Jean-Simon Pacaud Lemay
Previous work has shown that reverse differential categories give an abstract setting for gradient-based learning of functions between Euclidean spaces. However, reverse differenti…