Quantum projections on conceptual subspaces

Martínez-Mingo, Alejandro, Jorge-Botana, Guillermo, Martínez-Huertas, José Ángel y Olmos Albacete, Ricardo . (2023) Quantum projections on conceptual subspaces. Cognitive Systems Research

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Título Quantum projections on conceptual subspaces
Autor(es) Martínez-Mingo, Alejandro
Jorge-Botana, Guillermo
Martínez-Huertas, José Ángel
Olmos Albacete, Ricardo
Materia(s) Psicología
Abstract One of the main challenges of cognitive science is to explain the representation of conceptual knowledge and the mechanisms involved in evaluating the similarities between these representations. Theories that attempt to explain this phenomenon should account for the fact that conceptual knowledge is not static. In line with this thinking, many studies suggest that the representation of a concept changes depending on context. Traditionally, concepts have been studied as vectors within a geometric space, sometimes called Semantic-Vector Space Models (S-VSMs). However, S-VSMs have certain limitations in emulating human biases or context effects when the similarity of concepts is judged. Such limitations are related to the use of a classical geometric approach that represents a concept as a point in space. Recently, some theories have proposed the use of sequential projections of subspaces based on Quantum Probability Theory (Busemeyer and Bruza, 2012; Pothos et al., 2013). They argue that this theoretical approach may facilitate accounting for human similarity biases and context effects in a more natural way. More specifically, Pothos and Busemeyer (2011) proposed the Quantum Similarity Model (QSM) to determine expectation in conceptual spaces in a non-monotonic logic frame. To the best of our knowledge, previous data-driven studies have used the QSM subspaces in a unidimensional way. In this paper, we present a data-driven method to generate these conceptual subspaces in a multidimensional manner using a traditional S-VSM. We present an illustration of the method taking Tversky’s classical examples to explain the effects of Asymmetry, Triangular Inequality, and the Diagnosticity by means of sequential projections of those conceptual subspaces.
Palabras clave Quantum similarity model
Semantic-vector space models
Computational linguistics
Similarity
Editor(es) Elsevier
Fecha 2023-12
Formato application/pdf
Identificador bibliuned:DptoMCC-FPSI-Articulos-Jamartinez-0003
http://e-spacio.uned.es/fez/view/bibliuned:DptoMCC-FPSI-Articulos-Jamartinez-0003
DOI - identifier https://doi.org/10.1016/j.cogsys.2023.101154
ISSN - identifier 1389-0417
Nombre de la revista Cognitive Systems Research
Número de Volumen 82
Publicado en la Revista Cognitive Systems Research
Idioma eng
Versión de la publicación acceptedVersion
Tipo de recurso Article
Derechos de acceso y licencia http://creativecommons.org/licenses/by-nc-nd/4.0
info:eu-repo/semantics/openAccess
Tipo de acceso Acceso abierto
Notas adicionales La versión registrada de este artículo, publicado por primera vez en Cognitive Systems Research (2023) 82, está disponible en línea en el sitio web del editor: Elsevier; https://doi.org/10.1016/j.cogsys.2023.101154
Notas adicionales The copyrighted version of this article, first published in Cognitive Systems Research (2023) 82, is available online at the publisher's website: Elsevier; https://doi.org/10.1016/j.cogsys.2023.101154

 
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Creado: Thu, 29 Feb 2024, 19:08:44 CET