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SUMMARY:Open System Categorical Quantum Semantics in Natural Language Proc
 essing - Dimitri Kartsaklis\,  Queen Mary University of London
DTSTART:20150522T110000Z
DTEND:20150522T120000Z
UID:TALK58528@talks.cam.ac.uk
CONTACT:Tamara Polajnar
DESCRIPTION:Originally inspired by categorical quantum mechanics\, the cat
 egorical compositional distributional model of natural language meaning of
  Coecke\, Sadrzadeh and Clark provides a conceptually motivated procedure 
 to compute the meaning of a sentence\, given its grammatical structure wit
 hin a Lambek pregroup and a vectorial representation of the meaning of its
  parts. This talk discusses an extension of the original model to an open 
 quantum system setting\, capable of explicitly handling lexical ambiguity 
 and distinguishing between the two inherently different notions of homonym
 y and polysemy. This is achieved by using Selinger's CPM construction\, wh
 ich in practice means a passage from word vectors to density operators rep
 resenting _mixed states_. Despite this change of model\, standard empirica
 l methods for comparing meanings can be easily adopted\, which is demonstr
 ated by a small-scale experiment on real-world data. The enhanced model pr
 ovides many opportunities for novel theoretical work. For example\, commut
 ative classical structures as well as their non-commutative counterparts t
 hat arise in the image of the CPM construction allow for encoding relative
  pronouns\, verbs and adjectives. Furthermore\, iteration of the CPM const
 ruction\, something that has no counterpart in the quantum realm\, enables
  one to accommodate both entailment and ambiguity. _(Joint work with Piede
 leu\, Coecke and Sadrzadeh)_.\n\n*References:*\n\n* "Mathematical Foundati
 ons for a Compositional Distributional Model of Meaning":http://arxiv.org/
 abs/1003.4394\n\n* "Open System Categorical Quantum Semantics in Natural L
 anguage Processing":http://arxiv.org/abs/1502.00831\n
LOCATION:FW26\, Computer Laboratory
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