[2203.12478] Monoidal Reverse Differential Categories
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Mathematics > Category Theory

arXiv:2203.12478 (math)
[Submitted on 23 Mar 2022 (v1), last revised 9 Sep 2022 (this version, v2)]

Title:Monoidal Reverse Differential Categories

Authors: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.
Subjects: Category Theory (math.CT); Logic in Computer Science (cs.LO)
MSC classes: 18D99
ACM classes: F.m
Cite as: arXiv:2203.12478 [math.CT]
  (or arXiv:2203.12478v2 [math.CT] for this version)
  https://doi.org/10.48550/arXiv.2203.12478

Submission history

From: Geoffrey Cruttwell [view email]
[v1] Wed, 23 Mar 2022 15:20:12 UTC (60 KB)
[v2] Fri, 9 Sep 2022 14:44:55 UTC (266 KB)
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