On the mathematics of semantic spaces

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

3 Scopus citations

Abstract

We study a generalization of the models of semantic spaces introduced by Rieger. The focus will be on the following aspects. We show to what extent different choices of conceptual freedom leads to dramatically different behaviour. For instance, the linguistic differentiation process introduced by Rieger is highly dependent on the underlying metric space. Also, we introduce certain invariants that may be seen as leading to new approaches for identifying meaning and relevance. In particular, we study a normalized limiting process in Rieger's original model that may help to identify certain key elements of corpora. Also, we show how sensitivities in defining associated measurements like dependency trees might be used to identify linguistic relevance.

Original languageEnglish
Title of host publicationAspects of Automatic Text Analysis
EditorsAlexander Mehler, Reinhard Koehler
Pages95-115
Number of pages21
DOIs
StatePublished - 2007

Publication series

NameStudies in Fuzziness and Soft Computing
Volume209
ISSN (Print)1434-9922

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