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The categorical compositional distributional model of natural language provides a conceptually motivated procedure to compute the meaning of sentences, given grammatical structure and the meanings of its words. This approach has…

Computation and Language · Computer Science 2016-01-26 Desislava Bankova , Bob Coecke , Martha Lewis , Daniel Marsden

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 accommodate the Integrated Connectionist/Symbolic Architecture (ICS) of [32] within the categorical compositional semantics (CatCo) of [13], forming a model of categorical compositional cognition (CatCog). This resolves intrinsic…

Artificial Intelligence · Computer Science 2016-08-15 Yaared Al-Mehairi , Bob Coecke , Martha Lewis

The categorical compositional distributional (DisCoCat) model of meaning developed by Coecke et al. (2010) has been successful in modeling various aspects of meaning. However, it fails to model the fact that language can change. We give an…

Computation and Language · Computer Science 2018-11-28 Tai-Danae Bradley , Martha Lewis , Jade Master , Brad Theilman

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

Despite ample evidence that our concepts, our cognitive architecture, and mathematics itself are all deeply compositional, few models take advantage of this structure. We therefore propose a radically compositional approach to computational…

Neurons and Cognition · Quantitative Biology 2019-11-18 Toby B. St Clere Smithe

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

This paper describes a computational framework for a grammar architecture in which different linguistic domains such as morphology, syntax, and semantics are treated not as separate components but compositional domains. Word and phrase…

cmp-lg · Computer Science 2008-02-03 Cem Bozsahin , Elvan Gocmen

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

This paper develops a compositional vector-based semantics of subject and object relative pronouns within a categorical framework. Frobenius algebras are used to formalise the operations required to model the semantics of relative pronouns,…

Computation and Language · Computer Science 2014-05-14 Mehrnoosh Sadrzadeh , Stephen Clark , Bob Coecke

The words-as-classifiers model of grounded lexical semantics learns a semantic fitness score between physical entities and the words that are used to denote those entities. In this paper, we explore how such a model can incrementally…

Computation and Language · Computer Science 2019-11-11 Daniele Moro , Stacy Black , Casey Kennington

Conceptual combination performs a fundamental role in creating the broad range of compound phrases utilized in everyday language. This article provides a novel probabilistic framework for assessing whether the semantics of conceptual…

Computation and Language · Computer Science 2014-11-24 Peter D. Bruza , Kirsty Kitto , Brentyn J. Ramm , Laurianne Sitbon

The interpretation of parasitic gaps is an ostensible case of non-linearity in natural language composition. Existing categorial analyses, both in the typelogical and in the combinatory traditions, rely on explicit forms of syntactic…

Computation and Language · Computer Science 2020-07-08 Michael Moortgat , Mehrnoosh Sadrzadeh , Gijs Wijnholds

We investigate notions of ambiguity and partial information in categorical distributional models of natural language. Probabilistic ambiguity has previously been studied using Selinger's CPM construction. This construction works well for…

Logic in Computer Science · Computer Science 2017-01-04 Dan Marsden

This dissertation reports some first steps towards a compositional account of active inference and the Bayesian brain. Specifically, we use the tools of contemporary applied category theory to supply functorial semantics for approximate…

Neurons and Cognition · Quantitative Biology 2023-12-20 Toby St Clere Smithe

Natural language semantics has recently sought to combine the complementary strengths of formal and distributional approaches to meaning. More specifically, proposals have been put forward to augment formal semantic machinery with…

Computation and Language · Computer Science 2021-03-03 Noortje J. Venhuizen , Petra Hendriks , Matthew W. Crocker , Harm Brouwer

Distributional models are derived from co-occurrences in a corpus, where only a small proportion of all possible plausible co-occurrences will be observed. This results in a very sparse vector space, requiring a mechanism for inferring…

Computation and Language · Computer Science 2016-08-25 Thomas Kober , Julie Weeds , Jeremy Reffin , David Weir

Semantic composition remains an open problem for vector space models of semantics. In this paper, we explain how the probabilistic graphical model used in the framework of Functional Distributional Semantics can be interpreted as a…

Computation and Language · Computer Science 2017-09-04 Guy Emerson , Ann Copestake

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

Comparative constructions play an important role in natural language inference. However, attempts to study semantic representations and logical inferences for comparatives from the computational perspective are not well developed, due to…

Computation and Language · Computer Science 2019-10-03 Izumi Haruta , Koji Mineshima , Daisuke Bekki