# Autonomization of Monoidal Categories

arXiv: https://arxiv.org/abs/1411.3827 · HTML: https://mlsanity.com/paper/1411.3827/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 14 Nov 2014.

## Built on by (most cited first, 3 of 3)

- [A Categorical Semantics of Fuzzy Concepts in Conceptual Spaces](https://mlsanity.com/paper/2110.05985/) (2021)
- [Reinforcement Learning in Categorical Cybernetics](https://mlsanity.com/paper/2404.02688/) (2024)
- [Functorial Language Models](https://mlsanity.com/paper/2103.14411/) (2021)

## Abstract (arXiv)

We show that contrary to common belief in the DisCoCat community, a monoidal category is all that is needed to define a categorical compositional model of natural language. This relies on a construction which freely adds adjoints to a monoidal category. In the case of distributional semantics, this broadens the range of available models, to include non-linear maps and cartesian products for instance. We illustrate the applications of this principle to various distributional models of meaning.