Abstract
Multilayer networks and related concepts have been used for description and analysis of complex systems in many fields, such as for example biological, physical, social and information systems. In this paper we present the first steps towards defining a formal model for language networks representation - Multilayer Language Network (MLN) which is based on multilayer network formalism and which is suitable for representation, analysis and comparison of languages both in their entirety as well as in their various characteristics and complexity. The goal of this research is to define a universal formal model for languages, capturing various language levels (subsystems) and various language characteristics. As a starting point we apply standard network diagnostics on an MLN model for an English and Croatian text, considering word, syllable and grapheme language subsystems and various construction principles, and present obtained results.
References
Antiqueira, L., Oliveira Jr, O.N., Costa, L.F., Nunes, V.: A complex network approach to text summarization. Inf. Sci. 179(5), 584–599 (2009)
Ban, K., Ivakić, I., Meštrović, A.: A preliminary study of croatian language syllable networks. In: IEEE MIPRO Proceedings, pp. 1296–1300 (2013)
Barigozzi, M., Fagiolo, G., Garlaschelli, D.: Multinetwork of international trade: a commodity-specific analysis. Phys. Rev. E 81(4), 046104 (2010)
Berlingerio, M., Coscia, M., Giannotti, F., Monreale, A., Pedreschi, D.: Foundations of multidimensional network analysis. In: IEEE Advances in Social Networks Analysis and Mining (ASONAM), pp. 485–489 (2011)
Bianconi, G. Dorogovtsev, S.N., Mendes, J.F.F.: Mutually connected component of network of networks. arXiv preprint arXiv:1402.0215 (2014)
Bullmore, E., Sporns, O.: Complex brain networks: graph theoretical analysis of structural and functional systems. Nature Rev. 10(3), 186–198 (2009)
Cardillo, A., Gómez-Gardeñes, J., Zanin, M., Romance, M., Papo, D., del Pozo, F., Boccaletti, S.: Emergence of network features from multiplexity. Sci. Rep. 3, 1344 (2013)
Cong, J., Liu, H.: Approaching human language with complex networks. Phys. Life Rev. 11, 598–618 (2014)
Costa, L.F., Oliveira Jr, O.N., Travieso, G., Rodrigues, F.A., Villas Boas, P.R., Antiqueira, L., Viana, M.P., Correa Rocha, L.E.: Analyzing and modeling real-world phenomena with complex networks: a survey of applications. Adv. Phys. 60(3), 329–412 (2011)
De Domenico, M., Solé-Ribalta, A., Cozzo, E., Kivelä, M., Moreno, Y., Porter, M.A., Gómez, S., Arenas, A.: Mathematical formulation of multilayer networks. Phys. Rev. X 3(4), 041022 (2013)
Dorogovtsev, S.N., Mendes, J.F.F.: Language as an evolving word web. Proc. R. Soc. Lond. B Biol. Sci. 268(1485), 2603–2606 (2001)
Estrada, E., Gómez-Gardeñes, J.: Communicability reveals a transition to coordinated behavior in multiplex networks. Phys. Rev. E 89(4), 042819 (2014)
Gao, J., Buldyrev, S.V., Stanley, E.H., Havlin, S.: Networks formed from interdependent networks. Nature Phys. 8(1), 40–48 (2012)
Gao, J., Li, D., Havlin, S.: From a single network to a network of networks. Nat. Sci. Rev. 1(3), 346–356 (2014)
Kivelä, M., Arenas, A., Barthelemy, M., Gleeson, J.P., Moreno, Y., Porter, M.A.: Multilayer networks. J. Complex Netw. 2(3), 203–271 (2014)
Kurant, M., Thiran, P.: Layered complex networks. PRL 96(13), 138701 (2006)
Margan, D., Martinčić-Ipšić, S., Meštrović, A.: Preliminary report on the structure of croatian linguistic co-occurrence networks. In: 5th ITIS Proceedings, pp. 89–96 (2013)
Margan, D., Martinčić-Ipšić, S., Meštrović, A.: Network differences between normal and shuffled texts: case of croatian. In: Contucci, P., Menezes, R., Omicini, A., Poncela-Casasnovas, J. (eds.) Complex Networks V. SCI, vol. 549, pp. 275–283. Springer, Heidelberg (2014)
Masucci, A.P., Rodgers, G.J.: Network properties of written human language. Phys. Rev. E 74(2), 026102 (2006)
Menichetti, G., Remondini, D., Panzarasa, P., Mondragón, R.J., Bianconi, G.: Weighted multiplex networks. PloS One 9(6), e97857 (2014)
Morris, R.G., Barthelemy, M.: Transport on coupled spatial networks. Phys. Rev. Lett. 109(12), 128703 (2012)
Mucha, P.J., Richardson, T., Macon, K., Porter, M.A., Onnela, J.: Community structure in time-dependent, multiscale, and multiplex networks. Science 328(5980), 876–878 (2010)
Newman, M.: Networks: An Introduction. Oxford University Press, Oxford (2010)
Solé, R.V., Corominas-Murtra, B., Valverde, S., Steels, L.: Language networks: their structure, function, and evolution. Complexity 15(6), 20–26 (2010)
Szell, M., Lambiotte, R., Thurner, S.: Multirelational organization of large-scale social networks in an online world. Proc. Natl. Acad. Sci. 107(31), 13636–13641 (2010)
Tadić, M.: HOBS 1.0. http://linghub.lider-project.eu/metashare/21e34dc6703d11e28a985ef2e4e6c59e1f1629e7806b4d5a8824e8ca19b113ba
Tadić, M.: Building the croatian dependency treebank: the initial stages. Suvremena Lingvistika 63(1), 85–92 (2007)
Marcus, M.P., Marcinkiewicz, M.A., Santorini, B.: Building a large annotated corpus of English: the Penn treebank. Comput. Linguistics 19(2), 313–330 (1993)
Wang, P., Robins, G., Pattison, P., Lazega, E.: Exponential random graph models for multilevel networks. Soc. Netw. 35(1), 96–115 (2013)
Acknowledgments
This work has been supported in part by the University of Rijeka under the LangNet project (13.13.2.2.07).
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Ban Kirigin, T., Meštrović, A., Martinčić-Ipšić, S. (2015). Towards a Formal Model of Language Networks. In: Dregvaite, G., Damasevicius, R. (eds) Information and Software Technologies. ICIST 2015. Communications in Computer and Information Science, vol 538. Springer, Cham. https://doi.org/10.1007/978-3-319-24770-0_40
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