The mathematics of text structure

B Coecke - Joachim Lambek: The Interplay of Mathematics, Logic …, 2021 - Springer
In previous work we gave a mathematical foundation, referred to as DisCoCat, for how
words interact in a sentence in order to produce the meaning of that sentence. To do so, we …

Quantum natural language processing on near-term quantum computers

K Meichanetzidis, S Gogioso, G De Felice… - arxiv preprint arxiv …, 2020 - arxiv.org
In this work, we describe a full-stack pipeline for natural language processing on near-term
quantum computers, aka QNLP. The language-modelling framework we employ is that of …

Interacting conceptual spaces I: Grammatical composition of concepts

J Bolt, B Coecke, F Genovese, M Lewis… - Conceptual spaces …, 2019 - Springer
The categorical compositional approach to meaning has been successfully applied in
natural language processing, outperforming other models in mainstream empirical language …

Kindergarden quantum mechanics graduates... or how I learned to stop gluing LEGO together and love the ZX-calculus

B Coecke, D Horsman, A Kissinger, Q Wang - Theoretical Computer …, 2022 - Elsevier
This paper is a 'spiritual child'of the 2005 lecture notes Kindergarten Quantum Mechanics
Coecke (2005)[24], which showed how a simple, pictorial extension of Dirac notation …

Generalized relations in linguistics & cognition

B Coecke, F Genovese, M Lewis, D Marsden… - Theoretical computer …, 2018 - Elsevier
Categorical compositional models of natural language exploit grammatical structure to
calculate the meaning of phrases and sentences from the meanings of individual words …

Custom hypergraph categories via generalized relations

D Marsden, F Genovese - arxiv preprint arxiv:1703.01204, 2017 - arxiv.org
Process theories combine a graphical language for compositional reasoning with an
underlying categorical semantics. They have been successfully applied to fields such as …

Internal wiring of cartesian verbs and prepositions

B Coecke, M Lewis, D Marsden - arxiv preprint arxiv:1811.05770, 2018 - arxiv.org
Categorical compositional distributional semantics (CCDS) allows one to compute the
meaning of phrases and sentences from the meaning of their constituent words. A type …

Dual density operators and natural language meaning

D Ashoush, B Coecke - arxiv preprint arxiv:1608.01401, 2016 - arxiv.org
Density operators allow for representing ambiguity about a vector representation, both in
quantum theory and in distributional natural language meaning. Formally equivalently, they …

Applying distributional compositional categorical models of meaning to language translation

B Tyrrell - arxiv preprint arxiv:1811.03274, 2018 - arxiv.org
The aim of this paper is twofold: first we will use vector space distributional compositional
categorical models of meaning to compare the meaning of sentences in Irish and in English …

[PDF][PDF] A process theoretic triptych

JH Selby - 2017 - cs.ox.ac.uk
This thesis asks what can be learnt about quantum theory by investigating it from the
perspective of process theories. This is based on the diagrammatic compositional structure …