L. P. Kushnareva, D. V. Kuzminykh, “Persistent homology of Markov chains and its application to natural language processing”, Intelligent systems. Theory and applications, 2019, Volume 23, Issue 2,Pages <nobr>17

Part 1. General problems of the intellectual systems theory

Persistent homology of Markov chains and its application to natural language processing

L. P. Kushnareva, D. V. Kuzminykh

Abstract: In this work we introduce new persistent topological invariants for Markov chains. We also demonstrate the way of using these invariants for natural language processing task.

Keywords: Topology data analysis, persistent homology, Markov chains, natural language processing.