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Characterizing pure high-order entanglements in lexical semantic spaces via information geometry.

Hou, Yuexian; Song, Dawei

Authors

Yuexian Hou

Dawei Song



Contributors

Peter Bruza
Editor

Donald Sofge
Editor

William Lawless
Editor

Keith van Rijsbergen
Editor

Matthias Klusch
Editor

Abstract

An emerging topic in Quantuam Interaction is the use of lexical semantic spaces, as Hilbert spaces, to capture the meaning of words. There has been some initial evidence that the phenomenon of quantum entanglement exists in a semantic space and can potentially play a crucial role in determining the embeded semantics. In this paper, we propose to consider pure high-order entanglements that cannot be reduced to the compositional effect of lower-order ones, as an indicator of high-level semantic entities. To characterize the intrinsic order of entanglements and distinguish pure high-order entanglements from lower-order ones, we develop a set of methods in the framework of Information Geometry. Based on the developed methods, we propose an expanded vector space model that involves context-sensitive high-order information and aims at characterizing high-level retrieval contexts. Some initial ideas on applying the proposed methods in query expansion and text classification are also presented.

Citation

HOU, Y. and SONG, D. 2009. Characterizing pure high-order entanglements in lexical semantic spaces via information geometry. In Bruza, P., Sofge, D., Lawless, W., Van Rijsbergen, K. and Klusch, M. (eds.) Proceedings of the 3rd International symposium on quantum interaction (QI 2009), 25-27 March 2009, Saarbr├╝cken, Germany. Lecture notes in computer science, 5494. Berlin: Springer [online], pages 237-250. Available from: https://doi.org/10.1007/978-3-642-00834-4_20

Conference Name 3rd International symposium on quantum interaction (QI 2009)
Conference Location Saarbr├╝cken, Germany
Start Date Mar 25, 2009
End Date Mar 27, 2009
Acceptance Date Apr 30, 2009
Online Publication Date Apr 30, 2009
Publication Date Dec 31, 2009
Deposit Date Aug 14, 2009
Publicly Available Date Aug 14, 2009
Publisher Springer
Pages 237-250
Series Title Lecture notes in computer science
Series Number 5494
ISBN 9783642008337
DOI https://doi.org/10.1007/978-3-642-00834-4_20
Keywords Information geometry; Pure high order entanglement; Semantic emergence; Extended vector model
Public URL http://hdl.handle.net/10059/396

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