一元反微分范畴

IF 0.4 4区计算机科学 Q4 COMPUTER SCIENCE, THEORY & METHODS

Mathematical Structures in Computer Science Pub Date : 2022-03-23 DOI:10.1017/S096012952200038X

G. Cruttwell, J. Gallagher, J. Lemay, D. Pronk

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引用次数: 1

摘要

笛卡尔反微分范畴（CRDCs）是最近定义的一种结构，它对监督学习中使用的反微分操作进行了明确的建模。在这里，我们定义了一种称为单体反微分范畴的相关结构，证明了它与CRDC关系的重要结果，并提供了这两种结构的例子，包括来自量子计算模型的例子。

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Monoidal reverse differential categories

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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来源期刊

Mathematical Structures in Computer Science 工程技术-计算机：理论方法

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： Mathematical Structures in Computer Science is a journal of theoretical computer science which focuses on the application of ideas from the structural side of mathematics and mathematical logic to computer science. The journal aims to bridge the gap between theoretical contributions and software design, publishing original papers of a high standard and broad surveys with original perspectives in all areas of computing, provided that ideas or results from logic, algebra, geometry, category theory or other areas of logic and mathematics form a basis for the work. The journal welcomes applications to computing based on the use of specific mathematical structures (e.g. topological and order-theoretic structures) as well as on proof-theoretic notions or results.