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arXiv:1608.01402cs.AI

Interacting Conceptual Spaces

Josef Bolt, Bob Coecke, Fabrizio Genovese, Martha Lewis, Daniel Marsden, Robin Piedeleu

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.

arXiv comments
In Proceedings SLPCS 2016, arXiv:1608.01018
Journal reference
EPTCS 221, 2016, pp. 11-19
DOI
doi:10.4204/EPTCS.221.2
Subjects
cs.AIArtificial Intelligence cs.CLComputation and Language cs.LOLogic in Computer Science

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Discussed in comments2 threads

  1. The Brain’s “Inner GPS” Creates Conceptual Spaces in the Mind 1 comment

    • I worked on this with Peter Gardenfors in my PhD thesis. If someone is interested in a mathematical model of conceptual spaces which is not machine-learning oriented, you can check this out: https://arxiv.org/abs/1608.01402

      NigredoView on HNParent context

  2. A computational linguistic farce in three acts 1 comment

    • Recently Coecke comments on Gärdenfors geometric meaning in the context of his categorical semantics that I'm finding interesting, in arXiv:1608.01402. What I would welcome is a computational link relating that semantics and oldie semantic-network based ideas. For instance in…

      jesuslopView on HNParent context

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