Implementing a Concept Network Model

TL;DR

This paper introduces a graph-based network model for concepts that captures their flexibility and stability, validated through classification and analysis of property correlations across instances.

Contribution

It proposes a novel compositional network model representing concepts as graphs, enabling formal analysis of conceptual flexibility and stability.

Findings

Networks successfully discriminate between object concepts.

Diversity coefficients relate to conceptual flexibility.

Core-periphery structure relates to conceptual stability.

Abstract

The same concept can mean different things or be instantiated in different forms depending on context, suggesting a degree of flexibility within the conceptual system. We propose that a compositional network model can be used to capture and predict this flexibility. We modeled individual concepts (e.g., BANANA, BOTTLE) as graph-theoretical networks, in which properties (e.g., YELLOW, SWEET) were represented as nodes and their associations as edges. In this framework, networks capture the within-concept statistics that reflect how properties correlate with each other across instances of a concept. We ran a classification analysis using graph eigendecomposition to validate these models, and find that these models can successfully discriminate between object concepts. We then computed formal measures from these concept networks and explored their relationship to conceptual structure. We find that diversity coefficients and core-periphery structure can be interpreted as network-based measures of conceptual flexibility and stability, respectively. These results support the feasibility of a concept network framework and highlight its ability to formally capture important characteristics of the conceptual system.