Bell States and Negative Sentences in the Distributed Model of Meaning

Anne Preller 1 Mehrnoosh Sadrzadeh 2
1 TEXTE - Exploration et exploitation de données textuelles
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : We use Bell states to provide compositional distributed meaning for negative sentences of English. The lexical meaning of each word of the sentence is a context vector obtained within the distributed model of meaning. The meaning of the sentence lives within the tensor space of the vector spaces of the words. Mathematically speaking, the meaning of a sentence is the image of a quantizing functor from the compact closed category that models the grammatical structure of the sentence (using Lambek Pregroups) to the compact closed category of finite dimensional vector spaces where the lexical meaning of the words are modeled. The meaning is computed via composing eta and epsilon maps that create Bell states and do substitution and as such allow the information to flow among the words within the sentence.
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Anne Preller, Mehrnoosh Sadrzadeh. Bell States and Negative Sentences in the Distributed Model of Meaning. Electronic Notes in Theoretical Computer Science, Elsevier, 2011, 270, pp.141-153. ⟨10.1016/j.entcs.2011.01.028⟩. ⟨lirmm-00597926⟩

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