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arXiv · 2308.01131

Reverse Tangent Categories

Geoffrey Cruttwell·Jean-Simon Pacaud Lemay
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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.

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Geoffrey Cruttwell, Jean-Simon Pacaud Lemay. 2023-08-02. Reverse Tangent Categories. https://arxiv.org/abs/2308.01131

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