*STEPHEN CLARK*

- Published in print:
- 2013
- Published Online:
- May 2013
- ISBN:
- 9780199646296
- eISBN:
- 9780191747847
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199646296.003.0013
- Subject:
- Mathematics, Applied Mathematics

This chapter presents a theoretical framework that provides an answer to the question of how distributional representations of word meanings should be combined compositionally to produce ...
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This chapter presents a theoretical framework that provides an answer to the question of how distributional representations of word meanings should be combined compositionally to produce distributional representations of larger phrases. More specifically, it describes the framework of Coecke et al. (2010) in a form designed to be accessible to computational linguists not familiar with the mathematics of category theory on which the framework is based. It also briefly introduces pregroup grammar, which is the syntactic framework underlying the compositional process. One question the framework does not answer is what the semantic type of a sentence should be; in other words, what vector space sentences should live in. The chapter presents two possible sentence spaces, the first for expository reasons and the second as an example of a sentence space that has been implemented and evaluated in a word-sense disambiguation task.Less

This chapter presents a theoretical framework that provides an answer to the question of how distributional representations of word meanings should be combined compositionally to produce distributional representations of larger phrases. More specifically, it describes the framework of Coecke et al. (2010) in a form designed to be accessible to computational linguists not familiar with the mathematics of category theory on which the framework is based. It also briefly introduces pregroup grammar, which is the syntactic framework underlying the compositional process. One question the framework does not answer is what the semantic type of a sentence should be; in other words, what vector space sentences should live in. The chapter presents two possible sentence spaces, the first for expository reasons and the second as an example of a sentence space that has been implemented and evaluated in a word-sense disambiguation task.

*Preller Anne*

- Published in print:
- 2013
- Published Online:
- May 2013
- ISBN:
- 9780199646296
- eISBN:
- 9780191747847
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199646296.003.0009
- Subject:
- Mathematics, Applied Mathematics

The compositional functional logical models of natural language are recast as compact closed categories. Composition is based on the geometrical representation of information flow characteristic for ...
More

The compositional functional logical models of natural language are recast as compact closed categories. Composition is based on the geometrical representation of information flow characteristic for these categories. The functional logical interpretation of (strings of) words is carried over to projectors in a finite tensor product of two-dimensional spaces such that the truth of a sentence is equivalent to the truth of the corresponding projector. Examples include sentences with compound noun phrases involving quantifiers, adjectives, and negation.Less

The compositional functional logical models of natural language are recast as compact closed categories. Composition is based on the geometrical representation of information flow characteristic for these categories. The functional logical interpretation of (strings of) words is carried over to projectors in a finite tensor product of two-dimensional spaces such that the truth of a sentence is equivalent to the truth of the corresponding projector. Examples include sentences with compound noun phrases involving quantifiers, adjectives, and negation.