Some approaches to the markup of scientific documents containing mathematical expressions

E. V. Biryaltsev   ; A. M. Gusenkov   ; O. N. Zhibrik

Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 156 (2014) no. 4, pp. 133-148

Résumé

This paper analyzes an approach to semantic search for mathematical expressions that would enable browsing for mathematical formulae via textual names of variables in the formulae. A method is suggested to establish relations between the textual definitions of variables, their names, and the formulae containing these variables. Two software implementations of semantic search engines are described: searching for formulae in Wikipedia articles and marking up scholarly papers for browsing via ontology. The results of experimental evaluations in the context of relevance of the search and completeness of the relations, as well as the ways of solving the main problems in the proposed approach are discussed.

Détail

Keywords: semantic search, mathematical search, formulae markup.

Bibliographie

[1] Google Scholar, URL: http://scholar.google.com/

[2] Microsoft Academic Search, URL: http://academic.research.microsoft.com/

[3] The Springer LaTeX Search, URL: http://latexsearch.com/

[4] (uni)quation, URL: http://uniquation.com/

[5] MathWebSearch, URL: http://search.mathweb.org/

[6] Mišutka J., Galamboš L., “Extending full text search engine for mathematical content”, Towards Digital Mathematics Library (Birmingham, UK, July 27th, 2008), ed. Sojka P., Masaryk University, Brno, 2008, 55–67

[7] Biryaltsev E. V., Galimov M. R., Zhiltsov N. G., Nevzorova O. A., “Podkhod k semanticheskomu poisku matematicheskikh vyrazhenii v nauchnykh tekstakh”, Materialy mezhdunar. nauch.-tekhn. konf. OSTIS-2012, BGUIR, Minsk, 2012, 245–256

[8] Nevzorova O., Zhiltsov N., Zaikin D., Zhibrik O., Kirillovich A., Nevzorov V., Birialtsev E., “Bringing Math to LOD: A Semantic Publishing Platform Prototype for Scientific Collections in Mathematics”, The Semantic Web – ISWC'2013, Lecture Notes in Computer Science, 8218, Springer, Berlin–Heidelberg, 2013, 379–394 | DOI

[9] http://www.w3.org/TR/rdf-sparql-query/

[10] Biryaltsev E. V., Gusenkov A. M., “Integratsiya relyatsionnykh baz dannykh na osnove ontologii”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 149, no. 2, 2007, 13–34

[11] Biryaltsev E. V., Elizarov A. M., Zhiltsov N. G., Ivanov V. V., Nevzorova O. A., Solovev V. D., “Model semanticheskogo poiska v kollektsiyakh matematicheskikh dokumentov na osnove ontologii”, Trudy XII Vseros. nauch. konf. RCDL'2010, Kazan. un-t, Kazan, 2010, 296–300

[12] Nevzorova O. A., Zhiltsov N. G., Biryaltsev E. V., “Kollektsii matematicheskikh tekstov: annotirovanie i primenenie v poiskovykh zadachakh”, Iskusstvennyi intellekt i prinyatie reshenii, 2012, no. 3, 51–62

[13] Nevzorova O. A., Zhiltsov N. G., Zaikin D. A., Zhibrik O. N., Kirillovich A. V., Nevzorov V. N., Biryaltsev E. V., “Prototip programmnoi platformy dlya publikatsii semanticheskikh dannykh iz matematicheskikh nauchnykh kollektsii v oblake LOD”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 154, no. 3, 2012, 216–232

[14] Biryaltsev E. V., Galimov M. R., Gusenkov A. M., Zhibrik O. N., “Nekotorye podkhody k povysheniyu relevantnosti poiska matematicheskikh vyrazhenii v estestvennonauchnykh tekstakh”, Intellekt. Yazyk. Kompyuter (TEL-2012), Tr. Kazan. shk. po kompyuternoi i kognitivnoi lingvistike, 15, Fen, Kazan, 2012, 78–93

[15] Biryaltsev E. V., Gusenkov A. M., Zhibrik O. N., “Poisk matematicheskikh vyrazhenii v estestvenno-nauchnykh tekstakh. Eksperimentalnaya otsenka relevantnosti”, Intellekt. Yazyk. Kompyuter (TEL-2014), Tr. Kazan. shk. po kompyuternoi i kognitivnoi lingvistike, 16, Fen, Kazan, 2014, 34–37

[16] Biryaltsev E. V., Gusenkov A. M., Galimov M. R., “Osobennosti leksiko-semanticheskoi struktury naimenovanii artefaktov relyatsionnykh baz dannykh”, Intellekt. Yazyk. Kompyuter (TEL-2005), Tr. Kazan. shk. po kompyuternoi i kognitivnoi lingvistike, 9, Kazan. gos. un-t, Kazan, 2006, 4–12

[17] Biryaltsev E. V., Gusenkov A. M., Elizarov A. M., “O dostupe k elektronnym kollektsiyam v vide relyatsionnykh baz dannykh na osnove ontologii”, Trudy 9-i Vseros. nauch. konf. “Elektronnye biblioteki: perspektivnye metody i tekhnologii, elektronnye kollektsii” (RCDL'2007), Izd-vo “Universitet goroda Pereslavlya”, Pereslavl-Zalesskii, 2007, 211– 216

[18] Apache Lucene, URL: http://lucene.apache.org/

[19] GATE, URL: http://gate.ac.uk/

[20] Graham P., A plan for spam, URL: http://www.paulgraham.com/spam.html/

[21] Guzella T. S., Caminhas W. M., “A review of machine learning approaches to spam filtering”, Expert Systems with Applications, 36:7 (2009), 10206–10222 | DOI