Autonomization of Monoidal Categories
Category Theory
2020-09-16 v4 Computation and Language
Abstract
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.
Cite
@article{arxiv.1411.3827,
title = {Autonomization of Monoidal Categories},
author = {Antonin Delpeuch},
journal= {arXiv preprint arXiv:1411.3827},
year = {2020}
}
Comments
In Proceedings ACT 2019, arXiv:2009.06334