Reasoning about Categories in Conceptual Spaces

Abstract
Understanding the process of categorization is a
primary research goal in artificial intelligence. The
conceptual space framework provides a flexible approach
to modeling context-sensitive categorization
via a geometrical representation designed for
modeling and managing concepts.
In this paper we show how algorithms developed
in computational geometry, and the Region Connection
Calculus can be used to model important
aspects of categorization in conceptual spaces. In
particular, we demonstrate the feasibility of using
existing geometric algorithms to build and manage
categories in conceptual spaces, and we show how
the Region Connection Calculus can be used to reason
about categories and other conceptual regions.
1 Introduction
Categorization is a fundamental cognitive activity. The ability
to classify and identify objects with a high degree of exception
tolerance is a hallmark of intelligence, and an essential
skill for learning and communication. Underst...