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.

翻译：笛卡尔反向差异类别(CRDCs)是一个最近界定的结构,它绝对地模拟了监督学习中使用的反向差异行动。 我们在此定义了一个叫作单向反向差异类别的相关结构,证明其与CRDC关系的重要结果,并提供两种结构的例子,包括量子计算模型的实例。