Abstract
A non-Euclidean model is proposed for resolving problems in similarity-based retrieval. This model establishes a theoretical basis and implementational guidelines for designing similarity-based Web retrieval systems.
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References
Berge, C. Topological Spaces Including a Treatment of Multi-Valued Functions, Vector Spaces and Convexity. New York: Dover, 1997.
Bredon, G.E. Topology & Geometry. New York: Springe-Verlag, p. 69, 1995.
Cipra, B. What’s Happening in the Mathematical Sciences, Vol. 1. Providence, RI: Amer. Math. Soc., p. 27, 1993.
Conlon, L. Differentiable Manifolds: A First Course. Boston, MA: Birkhuser, 1993.
DoCarmo, M.P. Riemannian Geometry. Boston, MA: Birkhauser, 1992.
Gray, A. “Metrics on Surfaces. ” Ch. 15 in Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, 1997.
Jones, W.P. and Furnas, G.W. “Pictures of relevance: a geometric analysis of similarity measure”. Journal of the American Society for Information Science, 38, 420–446, 1987.
McGill, M.J., Koll, M., and Noreault, T. An evaluation of factors affecting document ranking by information retrieval systems. School of Information Studies, Syracuse University, Syracuse, New York 13210, 1979.
Munkres, J.R. Topology: A First Course. Englewood Cliffs, NJ: Prentice-Hall, 1975.
Parsaye, K., Chignell, M., Khoshafian, S, and Wong, H. Intelligent Databases: Object-Oriented, Deductive Hypermedia Technologies John Wiley & Sons, Inc., 1989.
van Rijsbergen, C. J. Information Retrieval, London: Butterworth, 1979.
Salton, G. and McGill, M. J. Introduction to Modern Information Retrieval. New York, McGraw-Hill, 1983.
Singer, I.M. and Thorpe, John A. Lecture Notes on Elementary Topology and Geometry. Scott, Foresman and Company, p. 97, 1967.
Wang, Z.W. An Analysis on Vector Space Model Based on Computational Geometry. M.Sc. thesis, Computer Science Department, University of Regina, Regina, Canada, 1993
Weinstock, R. Calculus of Variations, with Applications to Physics and Engineering. New York: Dover, p. 26–28 and 45–46, 1974.
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Wang, Z.W., Maguire, R.B., Yao, Y.Y. (2000). A Non-Euclidean Model for Web Retrieval. In: Lu, H., Zhou, A. (eds) Web-Age Information Management. WAIM 2000. Lecture Notes in Computer Science, vol 1846. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45151-X_22
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DOI: https://doi.org/10.1007/3-540-45151-X_22
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