Beyond Networks: Search for Relevant Subsets in Complex Systems

  • Roli A
  • Villani M
  • Filisetti A
  • et al.
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Abstract

Networks are often used to represent the relations among the variables of a dynamical system. The properties of network topology are usually exploited to understand the organization of the system. Nevertheless, the dynamical organization of a system might considerably differ from its topological one. In this paper, we describe a method to identify ``relevant subsets'' of variables. The variables belonging to a relevant subset should be strongly integrated and should have a much weaker interaction with the other system variables. Extending previous works on neural networks, an information-theoretic measure is introduced, i.e., the Dynamical Cluster Index, in order to identify candidate relevant subsets. The method solely relies on observations of the variables' values in time.

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Roli, A., Villani, M., Filisetti, A., & Serra, R. (2016). Beyond Networks: Search for Relevant Subsets in Complex Systems (pp. 127–134). https://doi.org/10.1007/978-3-319-24391-7_12

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