# Monoidal Reverse Differential Categories

arXiv: https://arxiv.org/abs/2203.12478 · HTML: https://mlsanity.com/paper/2203.12478/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 23 Mar 2022.

## Built on by (most cited first, 1 of 1)

- [Reverse Fa`a di Bruno's Formula for Cartesian Reverse Differential Categories](https://mlsanity.com/paper/2509.20931/) (2025)

## Abstract (arXiv)

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.