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arXiv · 2203.12478

Monoidal Reverse Differential Categories

Geoffrey Cruttwell·Jonathan Gallagher·Jean-Simon Pacaud Lemay·Dorette Pronk
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Abstract

Cartesian reverse differential categories (CRDCs) are a recently defined structure which categorically model the reverse differentiation operations used in supervised learning. Here we define a related structure called a monoidal reverse differential category, prove important results about its relationship to CRDCs, and provide examples of both structures, including examples coming from models of quantum computation.

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Geoffrey Cruttwell, Jonathan Gallagher, Jean-Simon Pacaud Lemay, Dorette Pronk. 2022-03-23. Monoidal Reverse Differential Categories. https://arxiv.org/abs/2203.12478

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