RT Journal Article
T1 Quantum projections on conceptual subspaces
A1 Martínez Mingo, Alejandro
A1 Jorge Botana, Guillermo de
A1 Martinez Huertas, Jose Angel
A1 Olmos, Ricardo
AB 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.
PB Elsevier
YR 2023
FD 2023-07-01
LK https://hdl.handle.net/20.500.14352/127363
UL https://hdl.handle.net/20.500.14352/127363
LA eng
NO Martínez-Mingo, A., Jorge-Botana, G., Martinez-Huertas, J. Á., & Albacete, R. O. (2023). Quantum projections on conceptual subspaces. Cognitive Systems Research, 82, 101154.
DS Docta Complutense
RD 30 nov 2025