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Mathematical knowledge ontologies and recommender systems for collections of documents in physics and mathematics. (English. Russian original) Zbl 1342.68345
Dokl. Math. 93, No. 2, 231-233 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 467, No. 4, 392-395 (2016).
Summary: An approach to the implementation of a recommender system based on ontologies of mathematical knowledge is presented. On the basis of a document browsed by a user, the system forms on line a list of recommendations, which include similar documents, key words, and definitions of these words from ontology and other terminological sources. The method of recommendations yields a vector representation of documents, taking into account the position of terms in the logical structure of the document and their ontological connections. On the basis of the cosine measure, a measure of proximity between documents is calculated. The order of documents in the list of recommendations is determined by values of the proximity measure. Various adaptations of the system to user scenarios aimed at the preparation of personalized recommendations are discussed.

68U35 Computing methodologies for information systems (hypertext navigation, interfaces, decision support, etc.)
68T30 Knowledge representation
Full Text: DOI
[1] Recommender Systems Handbook, Ed. by F. Ricci, L. Rokach, B. Shapira, and P. B. Kantor (Springer, New York, 2011). · Zbl 1214.68392
[2] Bobadilla, J.; Ortega, F.; Hernando, A.; Gutierrez, A., No article title, Knowledge-Based Systems, 46, 109-132, (2013)
[3] A. S. Lampropoulos and G. A. Tsihrintzis, Machine Learning Paradigms: Applications in Recommender Systems (Springer Intern. Publ., Cham, 2015). · Zbl 1355.68004
[4] Verbert, K.; Manouselis, N.; Ochoa, X.; Wolpers, M.; Drachsler, H.; Bosnic, I.; Duval, E., No article title, IEEE Trans. Learning Technol., 5, 318-335, (2012)
[5] S. E. Middleton, D. De Roure, and N. R. Shadbolt, in Handbook on Ontologies (Springer-Verlag, Berlin, 2009), pp. 779-796.
[6] Elizarov, A. M.; Lipachev, E. K.; Nevzorova, O. A.; Solov’ev, V. D., No article title, Dokl. Math., 90, 521-524, (2014) · Zbl 1328.68288
[7] Elizarov, A. M.; Kirillovich, A. V.; Lipachev, E. K.; Nevzorova, O. A.; Solovyev, V. D.; Zhiltsov, N. G., No article title, Lobachevskii J. Math., 35, 347-353, (2014) · Zbl 1323.68472
[8] O. Nevzorova, N. Zhiltsov, A. Kirillovich, and E. Lipachev, in Knowledge Engineering and the Semantic Web (Springer Intern. Publ., Berlin, 2014), pp. 105-119. · Zbl 1323.68472
[9] V. Solovyev and N. Zhiltsov, Proceedings of International Conference on Web Intelligence, Mining and Semantics (ACM, London, 2011).
[10] K. Aberer, A. Boyarsky, P. Cudré-Mauroux, G. Demartini, and O. Ruchayskiy, Tenth International Semantic Web Conference ISWC 2011-Demo (Bonn, 2011).
[11] Zhizhchenko, A. B.; Izaak, A. D., No article title, Russ. Math. Surveys, 62, 943-966, (2007) · Zbl 1149.00017
[12] Chebukov, D.; Izaak, A.; Misurina, O.; Pupyrev, Yu.; Zhizhchenko, A., No article title, Lect. Notes Comput. Sci., 7961, 344-348, (2013) · Zbl 1390.68748
[13] Shen, W.; Wang, J.; Han, J., No article title, IEEE Trans. Knowledge Data Eng., 27, 443-460, (2015)
[14] O. Nevzorova, N. Zhiltsov, D. Zaikin, O. Zhibrik, A. Kirillovich, V. Nevzorov, and E. Birialtsev, in The Semantic Web-ISWC (Springer-Verlag, Berlin, 2013), pp. 379-394.
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