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25 April 2024 |
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Article overview
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Interacting Conceptual Spaces I : Grammatical Composition of Concepts | | Joe Bolt
; Bob Coecke
; Fabrizio Genovese
; Martha Lewis
; Dan Marsden
; Robin Piedeleu
; | | Date: |
24 Mar 2017 | | Abstract: | The categorical compositional approach to meaning has been successfully
applied in natural language processing, outperforming other models in
mainstream empirical language processing tasks. We show how this approach can
be generalized to conceptual space models of cognition. In order to do this,
first 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 then show how to construct conceptual
spaces for various types such as nouns, adjectives and verbs. Finally we show
by means of examples how concepts can be systematically combined to establish
the meanings of composite phrases from the meanings of their constituent parts.
This provides the mathematical underpinnings of a new compositional approach to
cognition. | | Source: | arXiv, 1703.8314 | | Services: | Forum | Review | PDF | Favorites | |
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