A vector space model for automatic indexing
Communications of the ACM
Concept decompositions for large sparse text data using clustering
Machine Learning
Conceptual Spaces: The Geometry of Thought
Conceptual Spaces: The Geometry of Thought
The Journal of Machine Learning Research
A model of lexical attraction and repulsion
ACL '98 Proceedings of the 35th Annual Meeting of the Association for Computational Linguistics and Eighth Conference of the European Chapter of the Association for Computational Linguistics
Gravitation-based model for information retrieval
Proceedings of the 28th annual international ACM SIGIR conference on Research and development in information retrieval
Dynamic information and library processing
Dynamic information and library processing
Generalising Unitary Time Evolution
QI '09 Proceedings of the 3rd International Symposium on Quantum Interaction
Connecting the dots: mass, energy, word meaning, and particle-wave duality
QI'12 Proceedings of the 6th international conference on Quantum Interaction
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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.