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Ontological Approach to a Knowledge Graph Construction in a Semantic Library

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Abstract

The paper considers an approach to a knowledge graph construction based on the ontological representation of scientific subject areas. The presentation is based on concepts related to information and data mining, such as knowledge, knowledge extraction, domain ontology, scientific domain, thesaurus, semantic digital library, user information need, ontological design method and, in fact, the knowledge graph. The digital semantic library LibMeta is presented as a repository of various structured data with the possibility of their integration with other data sources. Assumes the possibility of specifying personal content by describing a local subject area within LibMeta. The ontology of the content of the semantic library acts as a means of formalization. This paper addresses the experience of building semantic libraries based on thesauri and ontological design. Building ontologies based on the thesaurus of the subject area LibMeta allows us to say that the presence of internal semantic links ensures the consistency and reliability of search results, which is a necessary condition for extracting scientific knowledge. The digital library ontology defines the data structure of the library content. Each data element loaded into the library can be associated with an ontology vertex (top) that determines the position of the data element in the ontology. Based on the ontology links and the links defined at the design stage, you can build a data graph. On the example of the ontology of the LibMeta semantic library, the technology of forming the knowledge graph of modern applications in mathematics is discussed. The problems of filling a graph, embedding in a graph, extracting links and nodes of a graph are discussed.

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  1. https://mkmk.ras.ru/en/

REFERENCES

  1. J. R. Rabunal, J. Dorado, and A. P. Sierra, Encyclopedia of Artificial Intelligence (IGI Global, 2009). https://doi.org/10.4018/978-1-59904-849-9

  2. O. Ataeva, V. Serebryakov, and E. Sinelnikova, ‘‘Thesaurus and ontology building for semantic library based on mathematical encyclopedia,’’ in Proceedings of the CEUR Workshop DAMDID/RCDL 2019, Kazan, Russia, October 15–18, 2019 (2019), pp. 148–157.

  3. T. R. Gruber, ‘‘The role of common ontology in achieving sharable, reusable knowledge bases,’’ in Proceedings of the Second International Conference on Principles of Knowledge Representation and Reasoning KR’91, Ed. by J. A. Allen, R. Fikes, and E. Sandewell (1991), pp. 601–602. https://doi.org/10.5555/3087158.3087222

  4. D. Vrandecic, ‘‘Ontology evaluation,’’ in Handbook on Ontologies, International Handbooks on Information Systems, Ed. by S. Staab and R. Studer (2009), pp. 293–313. https://doi.org/10.1007/978-3-540-92673-3_13

  5. Semantic Web. https://www.w3.org/standards/semanticweb. Accessed 2023.

  6. O. Ataeva, V. Serebryakov, and N. Tuchkova, ‘‘Development of the semantic space ’Mathematics’ by integrating a subspace of its applied area,’’ Lobachevskii J. Math. 43, 3435–3446 (2022). https://doi.org/10.1134/S1995080222150069

    Article  MATH  Google Scholar 

  7. O. Ataeva, V. Serebryakov, and N. Tuchkova, ‘‘Creating the applied subject area ontology by means of the content of the digital semantic library,’’ Lobachevskii J. Math. 43, 1795–1804 (2022). https://doi.org/10.1134/S1995080222100043

    Article  MATH  Google Scholar 

  8. S. G. Dextre Clarke and M. L. Zeng, ‘‘Standard spotlight: From ISO 2788 to ISO 25964: The evolution of thesaurus standards towards interoperability and data modeling,’’ Inform. Standards Q. 24, 20–26 (2012). https://doi.org/10.3789/isqv24n1.2012.04

    Article  Google Scholar 

  9. M. Allahyari et al., ‘‘A brief survey of text mining: Classification, clustering and extraction technique,’’ ar**v: 1707.02919 (2017). https://doi.org/10.48550/ar**v.1707.02919

  10. R. S. Gilyarevskij, V. A. Markusova, and A. Chernyj, ‘‘Scientific communications and problems of information need,’’ Nauch.-Tekh. Inform., Ser. 1, No. 9, 1–7 (1993).

    Google Scholar 

  11. D. Allemang, J. Hendler, and F. Gandon, Semantic Web for the Working Ontologist: Effective Modeling for Linked Data, RDFS, and OWL (Assoc. Comput. Machinery, 2020).

    Book  Google Scholar 

  12. H. Paulheim, ‘‘Knowledge graph refinement: A survey of approaches and evaluation methods,’’ Semantic Web 8, 489–508 (2017). https://doi.org/10.3233/SW-160218

    Article  Google Scholar 

  13. M. Kroetsch and G. Weikum, J. Web Semant., Spec. Iss. on Knowledge Graphs (2016). http://www.websemanticsjournal.org/index.php/ps/ announcement/view/19. Accessed 2023.

  14. A. Blumauer, From Taxonomies over Ontologies to Knowledge Graphs (2014). https://blog.semanticweb.at/2014/07/15/from-taxonomies-over-ontologiesto-knowledge-graphs. Accessed 2023.

  15. M. Faerber, F. Bartscherer, C. Menne, and A. Rettinger, ‘‘Linked data quality of DBpedia, Freebase, OpenCyc, Wikidata, and YAGO,’’ Semantic Web 9, 77–129 (2018). https://doi.org/10.3233/SW-170275

    Article  Google Scholar 

  16. R. Davis, H. Shrobe, and P. Szolovits, ‘‘What is a knowledge representation?,’’ AI Mag. 14, 17–33 (1993).

    Google Scholar 

  17. J. F. Sowa, Semantic Networks, Encyclopedia of Artificial Intelligence (Wiley, New York, 1992, 2006).

  18. M. Minsky, ‘‘A framework for representing knowledge,’’ MIT-AI Laboratory Memo 306 (1974). https://hdl.handle.net/1721.1/6089. Accessed 2023.

  19. T. Berners-Lee, J. Hendler, and O. Lassila, The Semantic Web (2001). http://www.scientificamerican.com/article/the-semantic-web/. Accessed 2023.

  20. T. Berners-Lee, Linked Data—Design Issues (2006). http://www.w3.org/DesignIssues/LinkedData.html. Accessed 2023.

  21. C. Bizer, T. Heath, and T. Berners-Lee, ‘‘Linked data—the story so far,’’ Int. J. Semantic Web Inform. Syst. 5 (3), 1–22 (2009). https://doi.org/10.4018/jswis.2009081901

    Article  Google Scholar 

  22. G. Klyne and J. J. Carroll, Resource Description Framework (RDF): Concepts and Abstract Syntax (2004). http://www.w3.org/TR/2004/REC-rdf-concepts-20040210/. Accessed 2023.

  23. R. Cyganiak, D. Wood, and M. Lanthaler, Resource Description Framework (RDF): Concepts and Abstract Syntax (2014). https://www.w3.org/TR/rdf11-concepts/. Accessed 2023.

  24. R. Brachman and H. Levesque, Knowledge Representation and Reasoning (Morgan Kaufmann, San Francisco, CA, 2004). https://doi.org/10.1146/annurev.cs.01.060186.001351

  25. J. F. Sowa, Knowledge Representation: Logical, Philosophical and Computational Foundations (Brooks/Cole, Pacific Grove, CA, 2000).

    Google Scholar 

  26. P. Wang, H. Jiang, J. Xu, and Q. Zhang, ‘‘Knowledge graph construction and applications for web search and beyond,’’ Data Intell. 1, 333–349 (2019). https://doi.org/10.1162/dint_a_00019

    Article  Google Scholar 

  27. J. Wang, ‘‘Math-KG: Construction and applications of mathematical knowledge graph,’’ ar**v: 2205.03772 (2022). https://doi.org/10.48550/ar**v.2205.03772

  28. H. Yang, L. Zhang, B. Wang, T. Yao, and J. Liu, ‘‘Cycle or Minkowski: Which is more appropriate for knowledge graph embedding?,’’ in Proceedings of the 30th ACM International Conference on Information & Knowledge Management (2021), pp. 2301–2310. https://doi.org/10.1145/3459637.3482245

  29. M. Schmachtenberg, C. Bizer, and H. Paulheim, ‘‘State of the LOD cloud,’’ Report (Univ. Mannheim, Data and Web Sci. Group, 2014).

  30. L. Liu, A. Omidvar, Z. Ma, A. Agrawal, and A. An, ‘‘Unsupervised knowledge graph generation using semantic similarity matching,’’ in Proceedings of the 3rd Workshop on Deep Learning for Low—Resource Natural Language Processing (2022), pp. 169–179. https://doi.org/10.18653/v1/2022.deeplo-1.18

  31. C. Lange, ‘‘Ontologies and languages for representing mathematical knowledge on the Semantic Web,’’ Semantic Web 4, 119–158 (2013). https://doi.org/10.3233/SW-2012-0059

    Article  Google Scholar 

  32. J. Tigani, BIG DATA is dead. https://motherduck.com/blog/big-data-is-dead. Accessed 2023.

  33. Y. Mehdi, Reinventing search with a new AI-powered Microsoft Bing and Edge, your copilot for the web. https://motherduck.com/blog/big-data-is-dead. Accessed 2023.

  34. S. Wolfram, What Is ChatGPT Doing… and Why Does It Work? https://writings.stephenwolfram.com/2023/02/what-is-chatgpt-doing-and-why-does-it-work/. Accessed 2023.

  35. P. D. F. Ion and S. M. Watt, ‘‘The global digital mathematics library and the international mathematical knowledge,’’ in Intelligent Computer Mathematics CICM 2017, Ed. by H. Geuvers, M. England, O. Hasan, F. Rabe, and O. Teschke, Lect. Notes Comput. Sci. 10383, 56–69 (2017). https://doi.org/10.1007/978-3-319-62075-6_5

  36. M. Nickel, V. Tresp, and H.-P. Kriegel, ‘‘A three–way model for collective learning on multi-relational data,’’ in Proceedings of the 28th International Conference on Machine Learning ICML’11, Bellevue, WA, USA (2011), pp. 809–816. https://doi.org/10.5555/3104482.3104584

  37. M. Y. Jaradeh, A. Oelen, K. E. Farfar, M. Prinz, J. D’Souza, G. Kismihók, M. Stocker, and S. Auer, ‘‘Open research knowledge graph: Next generation infrastructure for semantic scholarly knowledge,’’ in Proceedings of the 10th International Conference on Knowledge Capture K-CAP’19 (2019), pp. 243–246. https://doi.org/10.1145/3360901.3364435

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Funding

This work was supported by budget topics of the Ministry of Science and Higher Education of the Russian Federation ‘‘Mathematical methods for data analysis and forecasting’’ and particular the Russian Science Foundation, grant no. 22-21-00449.

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Correspondence to O. M. Ataeva, V. A. Serebryakov or N. P. Tuchkova.

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(Submitted by A. M. Elizarov)

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Ataeva, O.M., Serebryakov, V.A. & Tuchkova, N.P. Ontological Approach to a Knowledge Graph Construction in a Semantic Library. Lobachevskii J Math 44, 2229–2239 (2023). https://doi.org/10.1134/S1995080223060471

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