Spectral Composition of Semantic Spaces

  • Peter Wittek
  • Sándor Darányi
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7052)

Abstract

Spectral theory in mathematics is key to the success of as diverse application domains as quantum mechanics and latent semantic indexing, both relying on eigenvalue decomposition for the localization of their respective entities in observation space. This points at some implicit “energy” inherent in semantics and in need of quantification. We show how the structure of atomic emission spectra, and meaning in concept space, go back to the same compositional principle, plus propose a tentative solution for the computation of term, document and collection “energy” content.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Peter Wittek
    • 1
  • Sándor Darányi
    • 1
  1. 1.Swedish School of Library and Information ScienceGöteborg University & University of BoråsBoråsSweden

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