The Frobenius anatomy of word meanings I: subject and object relative pronouns
This work addresses a specific linguistic modeling problem for computational semantics, representing an incremental advancement in formalizing relative pronoun semantics.
The paper tackles the problem of modeling the semantics of subject and object relative pronouns by developing a compositional vector-based semantics using Frobenius algebras in a categorical framework, with results including two instantiations based on truth-theoretic and corpus statistical approaches.
This paper develops a compositional vector-based semantics of subject and object relative pronouns within a categorical framework. Frobenius algebras are used to formalise the operations required to model the semantics of relative pronouns, including passing information between the relative clause and the modified noun phrase, as well as copying, combining, and discarding parts of the relative clause. We develop two instantiations of the abstract semantics, one based on a truth-theoretic approach and one based on corpus statistics.