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Mathematical Foundations for a Compositional Distributional Model of Meaning

Abstract:

We propose a mathematical framework for a unification of the distributional theory of meaning in terms of vector space models, and a compositional theory for grammatical types, for which we rely on the algebra of Pregroups, introduced by Lambek. This mathematical framework enables us to compute the meaning of a well-typed sentence from the meanings of its constituents. Concretely, the type reductions of Pregroups are `lifted' to morphisms in a category, a procedure that transforms meanings of...

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
Journal:
Lambek Festschirft, special issue of Linguistic Analysis, 2010.
Volume:
abs/1003.4394
Publication date:
2010-03-23
Source identifiers:
328040
Keywords:
Pubs id:
pubs:328040
UUID:
uuid:059c2872-ab48-4c27-b52e-018873b04460
Local pid:
pubs:328040
Deposit date:
2013-11-17

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