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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…

计算机科学中的逻辑 · 计算机科学 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…

计算机科学中的逻辑 · 计算机科学 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…

逻辑 · 数学 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…

人工智能 · 计算机科学 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…

计算与语言 · 计算机科学 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…

计算与语言 · 计算机科学 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…

计算与语言 · 计算机科学 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…

计算机科学中的逻辑 · 计算机科学 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…

计算与语言 · 计算机科学 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…

计算与语言 · 计算机科学 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…

计算与语言 · 计算机科学 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…

计算机科学中的逻辑 · 计算机科学 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…

计算与语言 · 计算机科学 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.…

计算与语言 · 计算机科学 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…

逻辑 · 数学 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…

计算与语言 · 计算机科学 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…

计算与语言 · 计算机科学 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.…

计算与语言 · 计算机科学 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…

计算与语言 · 计算机科学 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…

计算与语言 · 计算机科学 2014-11-26 Yangfeng Ji , Jacob Eisenstein
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