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arxiv: 2203.12478 · v2 · pith:4P7ITCYL · submitted 2022-03-23 · math.CT · cs.LO

Monoidal Reverse Differential Categories

Geoffrey Cruttwell , Jonathan Gallagher , Jean-Simon Pacaud Lemay , Dorette Pronk This is my paper

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classification math.CT cs.LO
keywords reversedifferentialcategoriescrdcsexamplesmonoidalstructurecalled
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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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