Spectral composition of semantic spaces

P Wittek, S Darányi - International Symposium on Quantum Interaction, 2011 - Springer
International Symposium on Quantum Interaction, 2011Springer
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 …
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.
Springer
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