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Typology by means of language networks: applying information theoretic measures to morphological derivation networks. (English) Zbl 1260.91224

Dehmer, Matthias (ed.) et al., Towards an information theory of complex networks. Statistical methods and applications. Boston, MA: Birkhäuser (ISBN 978-0-8176-4903-6/hbk; 978-0-8176-4904-3/ebook). 321-346 (2011).
Summary: In this chapter we present a network-theoretic approach to linguistics. In particular, we introduce a network model of derivational morphology in languages. We focus on suffixation as a mechanism to derive new words from existing ones. We induce networks of natural language data consisting of words, derivation suffixes and parts of speech (PoS) as well as the relations between them. Measuring the entropy of these networks by means of so-called information functionals we aim at capturing the variation between typologically different languages. In this way, we rely on the work of M. Dehmer [Appl. Math. Comput. 201, No. 1–2, 82–94 (2008; Zbl 1152.05361)], who has introduced a framework for measuring the entropy of graphs. In addition, we compare several entropy measures recently presented for graphs. We check whether these measures allow us to distinguish between language networks on the one hand, and random networks on the other.
We found out, that linguistic variation among languages can be captured by investigating the topology of the underlying networks. Further, information functionals based on distributions of topological properties turned out to be better discriminators than those that are based on properties of single vertices.
For the entire collection see [Zbl 1227.94001].

MSC:

91F20 Linguistics
90C35 Programming involving graphs or networks
05C90 Applications of graph theory
94A17 Measures of information, entropy

Citations:

Zbl 1152.05361
Full Text: DOI