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Topological Data Analysis on the Example of Legal Texts

Student: Patina Kristina

Supervisor: Vladimir Krylov

Faculty: Faculty of Informatics, Mathematics, and Computer Science (HSE Nizhny Novgorod)

Educational Programme: Applied Mathematics and Information Science (Bachelor)

Final Grade: 9

Year of Graduation: 2020

The research relates to the field of Natural Language Processing. The aim of the study is a topological analysis of legal texts to determine their qualitative evaluation, similarity, and homogeneity. The main objectives are to convert texts into sets of multidimensional numerical vectors, which are named sentence embeddings, and subsequent data analysis using topological methods. As legal data, the Labour Code of the Russian Federation is considered, neural network ELMo (Embeddings from Language Models), pre-trained on Wikipedia articles, is used to create sentence embeddings. Topological data analysis is a modern approach to the analysis of legal texts.

Full text (added May 25, 2020)

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