Matching Evolving Hilbert Spaces and Language for Semantic Access to Digital Libraries

  • Peter Wittek
  • Sándor Darányi
  • Milena Dobreva
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6102)

Abstract

Extended by function (Hilbert) spaces, the 5S model of digital libraries (DL) [1] enables a physical interpretation of vectors and functions to keep track of the evolving semantics and usage context of the digital objects by support vector machines (SVM) for text categorization (TC). For this conceptual transition, three steps are necessary: (1) the application of the formal theory of DL to Lebesgue (function, L2) spaces; (2) considering semantic content as vectors in the physical sense (i.e. position and direction vectors) rather than as in linear algebra, thereby modelling word semantics as an evolving field underlying classifications of digital objects; (3) the replacement of vectors by functions in a new compact support basis function (CSBF) semantic kernel utilizing wavelets for TC by SVMs.

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Peter Wittek
    • 1
  • Sándor Darányi
    • 2
  • Milena Dobreva
    • 3
  1. 1.Department of Computer ScienceNational University of SingaporeSingapore
  2. 2.Swedish School of Library and Information ScienceUniversity of Borås and Göteborg UniversityBoråsSweden
  3. 3.Centre for Digital Library Research, Information Services DirectorateUniversity of StrathclydeGlasgowUnited Kingdom

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