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Lambek calculus with a relevant modality $!\mathbf{L^*}$ of arXiv:1601.06303 syntactically resolves parasitic gaps in natural language. It resembles the Lambek calculus with anaphora $\mathbf{LA}$ of (J\"ager, 1998) and the Lambek calculus…

Logic in Computer Science · Computer Science 2021-10-22 Lachlan McPheat , Gijs Wijnholds , Mehrnoosh Sadrzadeh , Adriana Correia , Alexis Toumi

We develop a vector space semantics for Lambek Calculus with Soft Subexponentials, apply the calculus to construct compositional vector interpretations for parasitic gap noun phrases and discourse units with anaphora and ellipsis, and…

Logic in Computer Science · Computer Science 2023-10-09 Lachlan McPheat , Hadi Wazni , Mehrnoosh Sadrzadeh

The Distributional Compositional Categorical (DisCoCat) model is a mathematical framework that provides compositional semantics for meanings of natural language sentences. It consists of a computational procedure for constructing meanings…

Logic · Mathematics 2013-06-21 Bob Coecke , Edward Grefenstette , Mehrnoosh Sadrzadeh

Categorical compositional distributional semantics provide a method to derive the meaning of a sentence from the meaning of its individual words: the grammatical reduction of a sentence automatically induces a linear map for composing the…

Artificial Intelligence · Computer Science 2018-11-09 Bob Coecke , Giovanni de Felice , Dan Marsden , Alexis Toumi

We provide an overview of the hybrid compositional distributional model of meaning, developed in Coecke et al. (arXiv:1003.4394v1 [cs.CL]), which is based on the categorical methods also applied to the analysis of information flow in…

Computation and Language · Computer Science 2011-06-08 Mehrnoosh Sadrzadeh , Edward Grefenstette

Coecke, Sadrzadeh, and Clark (arXiv:1003.4394v1 [cs.CL]) developed a compositional model of meaning for distributional semantics, in which each word in a sentence has a meaning vector and the distributional meaning of the sentence is a…

Computation and Language · Computer Science 2011-07-29 Edward Grefenstette , Mehrnoosh Sadrzadeh , Stephen Clark , Bob Coecke , Stephen Pulman

We develop a categorical compositional distributional semantics for Lambek Calculus with a Relevant Modality !L*, which has a limited edition of the contraction and permutation rules. The categorical part of the semantics is a monoidal…

Computation and Language · Computer Science 2024-08-07 Lachlan McPheat , Mehrnoosh Sadrzadeh , Hadi Wazni , Gijs Wijnholds

We develop a categorical compositional distributional semantics for Lambek Calculus with a Relevant Modality, which has a limited version of the contraction and permutation rules. The categorical part of the semantics is a monoidal biclosed…

Logic in Computer Science · Computer Science 2021-01-27 Lachlan McPheat , Mehrnoosh Sadrzadeh , Hadi Wazni , Gijs Wijnholds

Distributional semantic models provide vector representations for words by gathering co-occurrence frequencies from corpora of text. Compositional distributional models extend these from words to phrases and sentences. In categorical…

Computation and Language · Computer Science 2018-10-10 Esma Balkir , Dimitri Kartsaklis , Mehrnoosh Sadrzadeh

We propose a mathematical framework for a unification of the distributional theory of meaning in terms of vector space models, and a compositional theory for grammatical types, for which we rely on the algebra of Pregroups, introduced by…

Computation and Language · Computer Science 2010-03-24 Bob Coecke , Mehrnoosh Sadrzadeh , Stephen Clark

This paper compares classical copying and quantum entanglement in natural language by considering the case of verb phrase (VP) ellipsis. VP ellipsis is a non-linear linguistic phenomenon that requires the reuse of resources, making it the…

Computation and Language · Computer Science 2018-11-09 Gijs Wijnholds , Mehrnoosh Sadrzadeh

In recent years, the compositional distributional approach in computational linguistics has opened the way for an integration of the \emph{lexical} aspects of meaning into Lambek's type-logical grammar program. This approach is based on the…

Logic in Computer Science · Computer Science 2021-05-13 Giuseppe Greco , Fei Liang , Michael Moortgat , Alessandra Palmigiano , Apostolos Tzimoulis

Deep compositional models of meaning acting on distributional representations of words in order to produce vectors of larger text constituents are evolving to a popular area of NLP research. We detail a compositional distributional…

Computation and Language · Computer Science 2015-08-14 Jianpeng Cheng , Dimitri Kartsaklis

This paper connects a vector-based composition model to a formal semantics, the Dependency-based Compositional Semantics (DCS). We show theoretical evidence that the vector compositions in our model conform to the logic of DCS.…

Computation and Language · Computer Science 2016-06-09 Ran Tian , Naoaki Okazaki , Kentaro Inui

This paper proves a homomorphism between extensional formal semantics and distributional vector space semantics, demonstrating structural compatibility. Formal semantics models meaning as reference, using logical structures to map…

Logic · Mathematics 2026-01-01 Daniel Quigley

Modelling compositional meaning for sentences using empirical distributional methods has been a challenge for computational linguists. We implement the abstract categorical model of Coecke et al. (arXiv:1003.4394v1 [cs.CL]) using data from…

Computation and Language · Computer Science 2015-03-13 Edward Grefenstette , Mehrnoosh Sadrzadeh

This thesis is about the problem of compositionality in distributional semantics. Distributional semantics presupposes that the meanings of words are a function of their occurrences in textual contexts. It models words as distributions over…

Computation and Language · Computer Science 2013-11-08 Edward Grefenstette

Categorical compositional distributional model of Coecke et al. (2010) suggests a way to combine grammatical composition of the formal, type logical models with the corpus based, empirical word representations of distributional semantics.…

Computation and Language · Computer Science 2015-10-15 Esma Balkir , Mehrnoosh Sadrzadeh , Bob Coecke

Distributional semantics creates vector-space representations that capture many forms of semantic similarity, but their relation to semantic entailment has been less clear. We propose a vector-space model which provides a formal foundation…

Computation and Language · Computer Science 2016-07-14 James Henderson , Diana Nicoleta Popa

Discourse relations bind smaller linguistic units into coherent texts. However, automatically identifying discourse relations is difficult, because it requires understanding the semantics of the linked arguments. A more subtle challenge is…

Computation and Language · Computer Science 2014-11-26 Yangfeng Ji , Jacob Eisenstein
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