Topological Characterization of Complex Systems: Using Persistent Entropy

@article{Merelli2015TopologicalCO,
  title={Topological Characterization of Complex Systems: Using Persistent Entropy},
  author={Emanuela Merelli and Matteo Rucco and Peter M. A. Sloot and Luca Tesei},
  journal={Entropy},
  year={2015},
  volume={17},
  pages={6872-6892}
}
  • Emanuela Merelli, Matteo Rucco, +1 author Luca Tesei
  • Published in Entropy 2015
  • Mathematics, Computer Science
  • In this paper, we propose a methodology for deriving a model of a complex system by exploiting the information extracted from topological data analysis. Central to our approach is the S[B] paradigm in which a complex system is represented by a two-level model. One level, the structural S one, is derived using the newly-introduced quantitative concept of persistent entropy, and it is described by a persistent entropy automaton. The other level, the behavioral B one, is characterized by a network… CONTINUE READING

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