Semantic spaces : measuring the distance between different subspaces

Zuccon, Guido, Azzopardi, Leif A., & van Rijsbergen, C.J. (2009) Semantic spaces : measuring the distance between different subspaces. Lecture Notes in Computer Science : Quantum Interaction, 5494, pp. 225-236.

View at publisher


Semantic Space models, which provide a numerical representation of words’ meaning extracted from corpus of documents, have been formalized in terms of Hermitian operators over real valued Hilbert spaces by Bruza et al. [1]. The collapse of a word into a particular meaning has been investigated applying the notion of quantum collapse of superpositional states [2]. While the semantic association between words in a Semantic Space can be computed by means of the Minkowski distance [3] or the cosine of the angle between the vector representation of each pair of words, a new procedure is needed in order to establish relations between two or more Semantic Spaces. We address the question: how can the distance between different Semantic Spaces be computed? By representing each Semantic Space as a subspace of a more general Hilbert space, the relationship between Semantic Spaces can be computed by means of the subspace distance. Such distance needs to take into account the difference in the dimensions between subspaces. The availability of a distance for comparing different Semantic Subspaces would enable to achieve a deeper understanding about the geometry of Semantic Spaces which would possibly translate into better effectiveness in Information Retrieval tasks.

Impact and interest:

6 citations in Scopus
Search Google Scholar™
8 citations in Web of Science®

Citation counts are sourced monthly from Scopus and Web of Science® citation databases.

These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.

Citations counts from the Google Scholar™ indexing service can be viewed at the linked Google Scholar™ search.

Full-text downloads:

42 since deposited on 04 Jun 2014
18 in the past twelve months

Full-text downloads displays the total number of times this work’s files (e.g., a PDF) have been downloaded from QUT ePrints as well as the number of downloads in the previous 365 days. The count includes downloads for all files if a work has more than one.

ID Code: 72581
Item Type: Journal Article
Refereed: Yes
Additional URLs:
Keywords: Semantic spaces, Information retrieval
DOI: 10.1007/978-3-642-00834-4_19
ISBN: 978-3-642-00834-4
ISSN: 1611-3349
Divisions: Current > Schools > School of Information Systems
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2009 Springer Berlin Heidelberg
Copyright Statement: The final publication is available at Springer via
Deposited On: 04 Jun 2014 22:45
Last Modified: 19 Jul 2014 12:46

Export: EndNote | Dublin Core | BibTeX

Repository Staff Only: item control page