Autonomization of Monoidal Categories
arXiv:1411.3827 · doi:10.4204/EPTCS.323.3
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.
In Proceedings ACT 2019, arXiv:2009.06334
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Cited by in corpus (8)
- DisCoPy: Monoidal Categories in Python
- Autonomization of Monoidal Categories
- Freely adjoining monoidal duals
- A Categorical Semantics of Fuzzy Concepts in Conceptual Spaces
- Functorial Language Games for Question Answering
- Functorial Language Models
- Reinforcement Learning in Categorical Cybernetics
- Monoidal Categories for Formal Concept Analysis