Interacting Conceptual Spaces

Abstract

We propose applying the categorical compositional scheme of [6] to conceptual space models of cognition. In order to do this we introduce the category of convex relations as a new setting for categorical compositional semantics, emphasizing the convex structure important to conceptual space applications. We show how conceptual spaces for composite types such as adjectives and verbs can be constructed. We illustrate this new model on detailed examples.

In Proceedings SLPCS 2016, arXiv:1608.01018

References in corpus (3)

• Mathematical Foundations for a Compositional Distributional Model of Meaning
• Lambek vs. Lambek: Functorial Vector Space Semantics and String Diagrams for Lambek Calculus
• Graded Entailment for Compositional Distributional Semantics

Cited by in corpus (6)

• Quantum Natural Language Processing on Near-Term Quantum Computers
• Custom Hypergraph Categories via Generalized Relations
• Dual Density Operators and Natural Language Meaning
• Compositional Distributional Cognition
• Moral Dilemmas for Artificial Intelligence: a position paper on an application of Compositional Quantum Cognition
• Formal Ways for Measuring Relations between Concepts in Conceptual Spaces