Recorded 05 November 2024. Tai-Danae Bradley of SandboxAQ presents "An Enriched Category Theory of Language" at IPAM's Naturalistic Approaches to Artificial Intelligence Workshop. Abstract: Exploring mathematical structure in language may offer valuable insights into questions surrounding large language models. In this talk, we propose that enriched category theory can provide a natural framework for investigating the passage from texts, and probability distributions on them, to a more semantically meaningful space. Motivated by analogies between linear algebra and category theory, we will define a category of expressions in language enriched over the unit interval and then pass to a certain class of functions on those expressions. As we will see, the latter setting has rich mathematical structure and comes with ready-made tools in which to explore that structure. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-iii-naturalistic-approaches-to-artificial-intelligence/?tab=overview