An Enriched Category Theory of Language

Watch a technical lecture exploring how enriched category theory can provide a mathematical framework for analyzing language and large language models. Delve into the mathematical structures underlying text and probability distributions as Dr. Tai-Danae Bradley of SandboxAQ demonstrates how to map expressions to semantically meaningful spaces. Discover the parallels between linear algebra and category theory while examining a category of linguistic expressions enriched over the unit interval. Learn about the mathematical tools available for analyzing the rich structural properties that emerge when working with functions on these expressions. Presented at IPAM's Naturalistic Approaches to Artificial Intelligence Workshop at UCLA, this 51-minute talk offers valuable insights into the mathematical foundations of language processing and understanding.