Reverse Tangent Categories
Category Theory
2023-11-27 v2
Abstract
Previous work has shown that reverse differential categories give an abstract setting for gradient-based learning of functions between Euclidean spaces. However, reverse differential categories are not suited to handle gradient-based learning for functions between more general spaces such as smooth manifolds. In this paper, we propose a setting to handle this, which we call reverse tangent categories: tangent categories with an involution operation for their differential bundles.
Keywords
Cite
@article{arxiv.2308.01131,
title = {Reverse Tangent Categories},
author = {Geoffrey Cruttwell and Jean-Simon Pacaud Lemay},
journal= {arXiv preprint arXiv:2308.01131},
year = {2023}
}
Comments
Accepted and published in the proceedings of CSL2024