Abstract
Simple representations of documents based on the occurrences of terms are ubiquitous in areas like Information Retrieval, and also frequent in Natural Language Processing. In this work we propose a logical-probabilistic approach to the analysis of natural language text based in the concept of Uncertain Conditional, on top of a formulation of lexical measurements inspired in the theoretical concept of ideal quantum measurements. The proposed concept can be used for generating topic-specific representations of text, aiming to match in a simple way the perception of a user with a pre-established idea of what the usage of terms in the text should be. A simple example is developed with two versions of a text in two languages, showing how regularities in the use of terms are detected and easily represented.
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References
Beltrametti, E.G., Cassinelli, G.: The logic of Quantum Mechanics. Addison Wesley, Reading (1981)
Burris, S., Sankappanavar, H.P.: A Course on Universal Algebra. Springer, Heidelberg (1981)
de Cervantes-Saavedra, M.: Don Quijote. Project Gutemberg (1615)
de Cervantes-Saavedra, M.: The ingenious gentleman Don Quixote of La Mancha. Project Gutemberg, translation by John Ormsby (1885) edition, 1615
D’Hooghe, B., Pyackz, J.: On some new operations on orthomodular lattices. International Journal of Theoretical Physics 39(3), 641–652 (2000)
Friedman, C., Kra, P., Rzhetsky, A.: Two biomedical sublanguages: a description based on the theories of Zellig Harris. Journal of Biomedical Informatics 35(4), 222–235 (2002)
Gärdenfors, P.: Belief revisions and the Ramsey test for conditionals. The Philosophical Review 95(1), 81–93 (1986)
Gardner, M.: Is Quantum Logic Really Logic? Philosophy of Science 38(4), 508–529 (1971)
Gleason, A.M.: Measures of the closed subspaces of the hilbert space. Journal of Mathematics and Mechanics 6, 885–893 (1957)
Harris, Z.: Discourse and Sublanguage, ch. 11, pp. 231–236. de Gruyter, Berlin (1982)
Huertas-Rosero, A., Azzopardi, L., van Rijsbergen, C.: Characterising through erasing: A theoretical framework for representing documents inspired by quantum theory. In: vam Rijsbergen, C.J., Bruza, P.D., Lawless, W. (eds.) Proc. 2nd AAAI Quantum Interaction Symposium, pp. 160–163. College Publications, Oxford (2008)
Huibers, T., Bruza, P.: Situations, a general framework for studying information retrieval. Information Retrieval: New Systems and Current Research 2 (1994)
Lalmas, M.: Logical models in information retrieval: Introduction and overview. Information Processing and Management 34(1), 19–33 (1998)
Lund, K., Burgess, C.: Producing high-dimensional semantic spaces from lexical cooccurrence. Behavior Research Methods, Instruments and Computers 28(2), 203–208 (1996)
Mares, E.D.: Relevant Logic: A Physlosophical Interpretations. Cambridge University Press, Cambridge (2004); Preface: The author claims that this kind of logic is suitable for dealing with semantics Introductions: Non Sequitur is bad
Pavicic, M., Megill, N.: Is Quantum Logic a Logic?, ch. 2, pp. 23–47. Elsevier, Amsterdam (2004)
van Rijsbergen, C.J.: A new theoretical framework for information retrieval. In: SIGIR 1986: Proceedings of the 9th Annual International ACM SIGIR Conference on Research and Development in Information Retrieval, pp. 194–200. ACM, New York (1986)
van Rijsbergen, C.J.: The Geometry of Information Retrieval. Cambridge University Press, Cambridge (2004)
von Neumann, J., Birkhoff, G.: The logic of quantum mechanics. Annals of Mathematics 43, 298–331 (1936)
Widdows, D., Kanerva, P.: Geometry and Meaning. Cambridge University Press, Cambridge (2004)
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Huertas-Rosero, A.F., van Rijsbergen, C.J. (2011). Quantum-Like Uncertain Conditionals for Text Analysis. In: Song, D., Melucci, M., Frommholz, I., Zhang, P., Wang, L., Arafat, S. (eds) Quantum Interaction. QI 2011. Lecture Notes in Computer Science, vol 7052. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24971-6_14
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DOI: https://doi.org/10.1007/978-3-642-24971-6_14
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