A Comprehensive Implementation of Conceptual Spaces

TL;DR

This paper presents a comprehensive implementation of the conceptual spaces framework, enabling geometric knowledge representation with operations on concepts and handling inter-domain correlations.

Contribution

It introduces a detailed implementation of conceptual spaces that supports complex concept representation and operations, expanding the framework's practical applicability.

Findings

Supports inter-domain correlated concepts

Offers various operations on concepts

Enhances geometric knowledge representation

Abstract

The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points and concepts are represented by regions in a (potentially) high-dimensional space. Based on our recent formalization, we present a comprehensive implementation of the conceptual spaces framework that is not only capable of representing concepts with inter-domain correlations, but that also offers a variety of operations on these concepts.