Monoidal Reverse Differential Categories

Autor:	Geoff Cruttwell, Jonathan Gallagher, Jean-Simon Pacaud Lemay, Dorette Pronk
Rok vydání:	2022
Předmět:	FOS: Computer and information sciences Computer Science - Logic in Computer Science Mathematics (miscellaneous) Mathematics::Category Theory FOS: Mathematics F.m Mathematics - Category Theory Category Theory (math.CT) Computer Science Applications Logic in Computer Science (cs.LO) 18D99
DOI:	10.48550/arxiv.2203.12478
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1261a3e439f00a9b85d3533b98b7cc07 Zobrazit plný text záznamu