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We introduce DisCoPy, an open source toolbox for computing with monoidal categories. The library provides an intuitive syntax for defining string diagrams and monoidal functors. Its modularity allows the efficient implementation of…

Category Theory · Mathematics 2021-02-01 Giovanni de Felice , Alexis Toumi , Bob Coecke

Distributional compositional (DisCo) models are functors that compute the meaning of a sentence from the meaning of its words. We show that DisCo models in the category of sets and relations correspond precisely to relational databases. As…

Computation and Language · Computer Science 2020-09-16 Giovanni de Felice , Konstantinos Meichanetzidis , Alexis Toumi

The Categorical Compositional Distributional (DisCoCat) Model is a powerful mathematical model for composing the meaning of sentences in natural languages. Since we can think of biological sequences as the "language of life", it is…

Quantitative Methods · Quantitative Biology 2019-08-14 Yanying Wu , Quanlong Wang

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

We show that contrary to common belief in the DisCoCat community, a monoidal category is all that is needed to define a categorical compositional model of natural language. This relies on a construction which freely adds adjoints to a…

Category Theory · Mathematics 2020-09-16 Antonin Delpeuch

This thesis develops the translation between category theory and computational linguistics as a foundation for natural language processing. The three chapters deal with syntax, semantics and pragmatics. First, string diagrams provide a…

Computation and Language · Computer Science 2022-12-14 Giovanni de Felice

DisCoPy is a Python toolkit for computing with monoidal categories. It comes with two flexible data structures for string diagrams: the first one for planar monoidal categories based on lists of layers, the second one for symmetric monoidal…

Category Theory · Mathematics 2023-11-20 Alexis Toumi , Richie Yeung , Boldizsár Poór , Giovanni de Felice

The categorical compositional distributional (DisCoCat) model of meaning rigorously connects distributional semantics and pregroup grammars, and has found a variety of applications in computational linguistics. From a more abstract…

Computation and Language · Computer Science 2016-08-05 Stefano Gogioso

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

We demonstrate how to parse Geach's Donkey sentences in a compositional distributional model of meaning. We build on previous work on the DisCoCat (Distributional Compositional Categorical) framework, including extensions that model…

Computation and Language · Computer Science 2023-08-10 Lachlan McPheat , Daphne Wang

Functional Distributional Semantics is a recently proposed framework for learning distributional semantics that provides linguistic interpretability. It models the meaning of a word as a binary classifier rather than a numerical vector. In…

Computation and Language · Computer Science 2022-04-25 Yinhong Liu , Guy Emerson

Formal and distributional semantic models offer complementary benefits in modeling meaning. The categorical compositional distributional (DisCoCat) model of meaning of Coecke et al. (arXiv:1003.4394v1 [cs.CL]) combines aspected of both to…

Computation and Language · Computer Science 2011-07-26 Edward Grefenstette , Mehrnoosh Sadrzadeh

This thesis introduces quantum natural language processing (QNLP) models based on a simple yet powerful analogy between computational linguistics and quantum mechanics: grammar as entanglement. The grammatical structure of text and…

Category Theory · Mathematics 2022-12-14 Alexis Toumi

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

The functional approach to compositional distributional semantics considers transitive verbs to be linear maps that transform the distributional vectors representing nouns into a vector representing a sentence. We conduct an initial…

Computation and Language · Computer Science 2014-12-15 Tamara Polajnar , Laura Rimell , Stephen Clark

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 propose a new definition of higher-order DisCoCat (categorical compositional distributional) models where the meaning of a word is not a diagram, but a diagram-valued higher-order function. Our models can be seen as a variant of Montague…

Computation and Language · Computer Science 2025-09-26 Alexis Toumi , Giovanni de Felice

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

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

The paper presents a language model that develops syntactic structure and uses it to extract meaningful information from the word history, thus enabling the use of long distance dependencies. The model assigns probability to every joint…

Computation and Language · Computer Science 2007-05-23 Ciprian Chelba
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