Semantic Composition with Quotient Algebras

Daoud Clarke, Rüdi Lutz, David James Weir · University of Hertfordshire Research Archive (University of Hertfordshire) · 2010

We describe an algebraic approach for computing with vector based semantics. The tensor product has been proposed as a method of composition, but has the undesirable property that strings of different length are incomparable. We consider how a quotient algebra of the tensor algebra can allow such comparisons to be made, offering the possibility of data-driven models of semantic composition. 1

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